Deck 9: Section 6: Infinite Series

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Question
Determine the convergence or divergence of the series <strong>Determine the convergence or divergence of the series   using any appropriate test.</strong> A)   B)   <div style=padding-top: 35px> using any appropriate test.

A) <strong>Determine the convergence or divergence of the series   using any appropriate test.</strong> A)   B)   <div style=padding-top: 35px>
B) <strong>Determine the convergence or divergence of the series   using any appropriate test.</strong> A)   B)   <div style=padding-top: 35px>
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Question
Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used. <strong>Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use the Ratio Test to determine the convergence or divergence of the series. <strong>Use the Ratio Test to determine the convergence or divergence of the series.  </strong> A) diverges B) Ratio Test inconclusive C) converges <div style=padding-top: 35px>

A) diverges
B) Ratio Test inconclusive
C) converges
Question
Use the Ratio Test to determine the convergence or divergence of the series <strong>Use the Ratio Test to determine the convergence or divergence of the series   .</strong> A)   B)   <div style=padding-top: 35px> .

A) <strong>Use the Ratio Test to determine the convergence or divergence of the series   .</strong> A)   B)   <div style=padding-top: 35px>
B) <strong>Use the Ratio Test to determine the convergence or divergence of the series   .</strong> A)   B)   <div style=padding-top: 35px>
Question
Use the Root Test to determine the convergence or divergence of the series <strong>Use the Root Test to determine the convergence or divergence of the series   .</strong> A)   B)   <div style=padding-top: 35px> .

A) <strong>Use the Root Test to determine the convergence or divergence of the series   .</strong> A)   B)   <div style=padding-top: 35px>
B) <strong>Use the Root Test to determine the convergence or divergence of the series   .</strong> A)   B)   <div style=padding-top: 35px>
Question
Use the Ratio Test to determine the convergence or divergence of the series <strong>Use the Ratio Test to determine the convergence or divergence of the series   .</strong> A)   B)   <div style=padding-top: 35px> .

A) <strong>Use the Ratio Test to determine the convergence or divergence of the series   .</strong> A)   B)   <div style=padding-top: 35px>
B) <strong>Use the Ratio Test to determine the convergence or divergence of the series   .</strong> A)   B)   <div style=padding-top: 35px>
Question
Find the values of x for which the series <strong>Find the values of x for which the series   converges.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> converges.

A) <strong>Find the values of x for which the series   converges.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the values of x for which the series   converges.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the values of x for which the series   converges.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the values of x for which the series   converges.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the values of x for which the series   converges.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use the Root Test to determine the convergence or divergence of the series. <strong>Use the Root Test to determine the convergence or divergence of the series.  </strong> A) converges B) diverges C) Root Test inconclusive <div style=padding-top: 35px>

A) converges
B) diverges
C) Root Test inconclusive
Question
Use the Root Test to determine the convergence or divergence of the series. <strong>Use the Root Test to determine the convergence or divergence of the series.  </strong> A) converges B) diverges C) Root Test inconclusive <div style=padding-top: 35px>

A) converges
B) diverges
C) Root Test inconclusive
Question
Use the Ratio Test to determine the convergence or divergence of the series. <strong>Use the Ratio Test to determine the convergence or divergence of the series.  </strong> A)   B) converges C) diverges <div style=padding-top: 35px>

A) <strong>Use the Ratio Test to determine the convergence or divergence of the series.  </strong> A)   B) converges C) diverges <div style=padding-top: 35px>
B) converges
C) diverges
Question
Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used. <strong>Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used.  </strong> A) both civerges; p-series and civerges; Integral Test B) converges; p-series C) converges; Ratio Test D) civerges; p-series E) civerges; Integral Test <div style=padding-top: 35px>

A) both civerges; p-series and civerges; Integral Test
B) converges; p-series
C) converges; Ratio Test
D) civerges; p-series
E) civerges; Integral Test
Question
Determine the convergence or divergence of the series <strong>Determine the convergence or divergence of the series   using any appropriate test.</strong> A)   B)   <div style=padding-top: 35px> using any appropriate test.

A) <strong>Determine the convergence or divergence of the series   using any appropriate test.</strong> A)   B)   <div style=padding-top: 35px>
B) <strong>Determine the convergence or divergence of the series   using any appropriate test.</strong> A)   B)   <div style=padding-top: 35px>
Question
Identify the most appropriate test to be used to determine whether the series <strong>Identify the most appropriate test to be used to determine whether the series   converges or diverges.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> converges or diverges.

A) <strong>Identify the most appropriate test to be used to determine whether the series   converges or diverges.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Identify the most appropriate test to be used to determine whether the series   converges or diverges.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Identify the most appropriate test to be used to determine whether the series   converges or diverges.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Identify the most appropriate test to be used to determine whether the series   converges or diverges.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Identify the most appropriate test to be used to determine whether the series   converges or diverges.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use the Ratio Test to determine the convergence or divergence of the series. <strong>Use the Ratio Test to determine the convergence or divergence of the series.  </strong> A) diverges B) converges C) Ratio Test inconclusive <div style=padding-top: 35px>

A) diverges
B) converges
C) Ratio Test inconclusive
Question
Use the Root Test to determine the convergence or divergence of the series <strong>Use the Root Test to determine the convergence or divergence of the series   .</strong> A) diverges B) converges <div style=padding-top: 35px> .

A) diverges
B) converges
Question
Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used. <strong>Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used.  </strong> A) both diverges; Ratio Test and diverges; Theorem 9.9 (n<sup>th</sup> Term Test for Divergence) B) converges; Integral Test C) diverges; Theorem 9.9 (n<sup>th</sup> Term Test for Divergence) D) converges; p-series E) diverges; Ratio Test <div style=padding-top: 35px>

A) both diverges; Ratio Test and diverges; Theorem 9.9 (nth Term Test for Divergence)
B) converges; Integral Test
C) diverges; Theorem 9.9 (nth Term Test for Divergence)
D) converges; p-series
E) diverges; Ratio Test
Question
The terms of a series <strong>The terms of a series   are defined recursively. Determine the convergence or divergence of the series. Explain your reasoning.  </strong> A) converges; Ratio Test B) diverges; Ratio Test C) diverges; Integral Test D) converges; Alternating Series Test E) converges; Root Test <div style=padding-top: 35px> are defined recursively. Determine the convergence or divergence of the series. Explain your reasoning. <strong>The terms of a series   are defined recursively. Determine the convergence or divergence of the series. Explain your reasoning.  </strong> A) converges; Ratio Test B) diverges; Ratio Test C) diverges; Integral Test D) converges; Alternating Series Test E) converges; Root Test <div style=padding-top: 35px>

A) converges; Ratio Test
B) diverges; Ratio Test
C) diverges; Integral Test
D) converges; Alternating Series Test
E) converges; Root Test
Question
Identify the most appropriate test to be used to determine whether the series <strong>Identify the most appropriate test to be used to determine whether the series   converges or diverges.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> converges or diverges.

A) <strong>Identify the most appropriate test to be used to determine whether the series   converges or diverges.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Identify the most appropriate test to be used to determine whether the series   converges or diverges.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Identify the most appropriate test to be used to determine whether the series   converges or diverges.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Identify the most appropriate test to be used to determine whether the series   converges or diverges.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Identify the most appropriate test to be used to determine whether the series   converges or diverges.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use the Root Test to determine the convergence or divergence of the series. <strong>Use the Root Test to determine the convergence or divergence of the series.  </strong> A) Root Test inconclusive B) converges C) diverges <div style=padding-top: 35px>

A) Root Test inconclusive
B) converges
C) diverges
Question
Determine the convergence or divergence of the series <strong>Determine the convergence or divergence of the series   using any appropriate test.</strong> A)   B)   <div style=padding-top: 35px> using any appropriate test.

A) <strong>Determine the convergence or divergence of the series   using any appropriate test.</strong> A)   B)   <div style=padding-top: 35px>
B) <strong>Determine the convergence or divergence of the series   using any appropriate test.</strong> A)   B)   <div style=padding-top: 35px>
Question
Find the values of x for which the series <strong>Find the values of x for which the series   converges.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> converges.

A) <strong>Find the values of x for which the series   converges.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the values of x for which the series   converges.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the values of x for which the series   converges.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the values of x for which the series   converges.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the values of x for which the series   converges.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Deck 9: Section 6: Infinite Series
1
Determine the convergence or divergence of the series <strong>Determine the convergence or divergence of the series   using any appropriate test.</strong> A)   B)   using any appropriate test.

A) <strong>Determine the convergence or divergence of the series   using any appropriate test.</strong> A)   B)
B) <strong>Determine the convergence or divergence of the series   using any appropriate test.</strong> A)   B)
2
Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used. <strong>Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used.  </strong> A)   B)   C)   D)   E)

A) <strong>Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used.  </strong> A)   B)   C)   D)   E)
B) <strong>Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used.  </strong> A)   B)   C)   D)   E)
C) <strong>Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used.  </strong> A)   B)   C)   D)   E)
D) <strong>Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used.  </strong> A)   B)   C)   D)   E)
E) <strong>Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used.  </strong> A)   B)   C)   D)   E)
3
Use the Ratio Test to determine the convergence or divergence of the series. <strong>Use the Ratio Test to determine the convergence or divergence of the series.  </strong> A) diverges B) Ratio Test inconclusive C) converges

A) diverges
B) Ratio Test inconclusive
C) converges
converges
4
Use the Ratio Test to determine the convergence or divergence of the series <strong>Use the Ratio Test to determine the convergence or divergence of the series   .</strong> A)   B)   .

A) <strong>Use the Ratio Test to determine the convergence or divergence of the series   .</strong> A)   B)
B) <strong>Use the Ratio Test to determine the convergence or divergence of the series   .</strong> A)   B)
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5
Use the Root Test to determine the convergence or divergence of the series <strong>Use the Root Test to determine the convergence or divergence of the series   .</strong> A)   B)   .

A) <strong>Use the Root Test to determine the convergence or divergence of the series   .</strong> A)   B)
B) <strong>Use the Root Test to determine the convergence or divergence of the series   .</strong> A)   B)
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6
Use the Ratio Test to determine the convergence or divergence of the series <strong>Use the Ratio Test to determine the convergence or divergence of the series   .</strong> A)   B)   .

A) <strong>Use the Ratio Test to determine the convergence or divergence of the series   .</strong> A)   B)
B) <strong>Use the Ratio Test to determine the convergence or divergence of the series   .</strong> A)   B)
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7
Find the values of x for which the series <strong>Find the values of x for which the series   converges.</strong> A)   B)   C)   D)   E)   converges.

A) <strong>Find the values of x for which the series   converges.</strong> A)   B)   C)   D)   E)
B) <strong>Find the values of x for which the series   converges.</strong> A)   B)   C)   D)   E)
C) <strong>Find the values of x for which the series   converges.</strong> A)   B)   C)   D)   E)
D) <strong>Find the values of x for which the series   converges.</strong> A)   B)   C)   D)   E)
E) <strong>Find the values of x for which the series   converges.</strong> A)   B)   C)   D)   E)
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8
Use the Root Test to determine the convergence or divergence of the series. <strong>Use the Root Test to determine the convergence or divergence of the series.  </strong> A) converges B) diverges C) Root Test inconclusive

A) converges
B) diverges
C) Root Test inconclusive
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9
Use the Root Test to determine the convergence or divergence of the series. <strong>Use the Root Test to determine the convergence or divergence of the series.  </strong> A) converges B) diverges C) Root Test inconclusive

A) converges
B) diverges
C) Root Test inconclusive
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10
Use the Ratio Test to determine the convergence or divergence of the series. <strong>Use the Ratio Test to determine the convergence or divergence of the series.  </strong> A)   B) converges C) diverges

A) <strong>Use the Ratio Test to determine the convergence or divergence of the series.  </strong> A)   B) converges C) diverges
B) converges
C) diverges
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11
Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used. <strong>Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used.  </strong> A) both civerges; p-series and civerges; Integral Test B) converges; p-series C) converges; Ratio Test D) civerges; p-series E) civerges; Integral Test

A) both civerges; p-series and civerges; Integral Test
B) converges; p-series
C) converges; Ratio Test
D) civerges; p-series
E) civerges; Integral Test
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12
Determine the convergence or divergence of the series <strong>Determine the convergence or divergence of the series   using any appropriate test.</strong> A)   B)   using any appropriate test.

A) <strong>Determine the convergence or divergence of the series   using any appropriate test.</strong> A)   B)
B) <strong>Determine the convergence or divergence of the series   using any appropriate test.</strong> A)   B)
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13
Identify the most appropriate test to be used to determine whether the series <strong>Identify the most appropriate test to be used to determine whether the series   converges or diverges.</strong> A)   B)   C)   D)   E)   converges or diverges.

A) <strong>Identify the most appropriate test to be used to determine whether the series   converges or diverges.</strong> A)   B)   C)   D)   E)
B) <strong>Identify the most appropriate test to be used to determine whether the series   converges or diverges.</strong> A)   B)   C)   D)   E)
C) <strong>Identify the most appropriate test to be used to determine whether the series   converges or diverges.</strong> A)   B)   C)   D)   E)
D) <strong>Identify the most appropriate test to be used to determine whether the series   converges or diverges.</strong> A)   B)   C)   D)   E)
E) <strong>Identify the most appropriate test to be used to determine whether the series   converges or diverges.</strong> A)   B)   C)   D)   E)
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14
Use the Ratio Test to determine the convergence or divergence of the series. <strong>Use the Ratio Test to determine the convergence or divergence of the series.  </strong> A) diverges B) converges C) Ratio Test inconclusive

A) diverges
B) converges
C) Ratio Test inconclusive
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15
Use the Root Test to determine the convergence or divergence of the series <strong>Use the Root Test to determine the convergence or divergence of the series   .</strong> A) diverges B) converges .

A) diverges
B) converges
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16
Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used. <strong>Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used.  </strong> A) both diverges; Ratio Test and diverges; Theorem 9.9 (n<sup>th</sup> Term Test for Divergence) B) converges; Integral Test C) diverges; Theorem 9.9 (n<sup>th</sup> Term Test for Divergence) D) converges; p-series E) diverges; Ratio Test

A) both diverges; Ratio Test and diverges; Theorem 9.9 (nth Term Test for Divergence)
B) converges; Integral Test
C) diverges; Theorem 9.9 (nth Term Test for Divergence)
D) converges; p-series
E) diverges; Ratio Test
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17
The terms of a series <strong>The terms of a series   are defined recursively. Determine the convergence or divergence of the series. Explain your reasoning.  </strong> A) converges; Ratio Test B) diverges; Ratio Test C) diverges; Integral Test D) converges; Alternating Series Test E) converges; Root Test are defined recursively. Determine the convergence or divergence of the series. Explain your reasoning. <strong>The terms of a series   are defined recursively. Determine the convergence or divergence of the series. Explain your reasoning.  </strong> A) converges; Ratio Test B) diverges; Ratio Test C) diverges; Integral Test D) converges; Alternating Series Test E) converges; Root Test

A) converges; Ratio Test
B) diverges; Ratio Test
C) diverges; Integral Test
D) converges; Alternating Series Test
E) converges; Root Test
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18
Identify the most appropriate test to be used to determine whether the series <strong>Identify the most appropriate test to be used to determine whether the series   converges or diverges.</strong> A)   B)   C)   D)   E)   converges or diverges.

A) <strong>Identify the most appropriate test to be used to determine whether the series   converges or diverges.</strong> A)   B)   C)   D)   E)
B) <strong>Identify the most appropriate test to be used to determine whether the series   converges or diverges.</strong> A)   B)   C)   D)   E)
C) <strong>Identify the most appropriate test to be used to determine whether the series   converges or diverges.</strong> A)   B)   C)   D)   E)
D) <strong>Identify the most appropriate test to be used to determine whether the series   converges or diverges.</strong> A)   B)   C)   D)   E)
E) <strong>Identify the most appropriate test to be used to determine whether the series   converges or diverges.</strong> A)   B)   C)   D)   E)
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19
Use the Root Test to determine the convergence or divergence of the series. <strong>Use the Root Test to determine the convergence or divergence of the series.  </strong> A) Root Test inconclusive B) converges C) diverges

A) Root Test inconclusive
B) converges
C) diverges
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20
Determine the convergence or divergence of the series <strong>Determine the convergence or divergence of the series   using any appropriate test.</strong> A)   B)   using any appropriate test.

A) <strong>Determine the convergence or divergence of the series   using any appropriate test.</strong> A)   B)
B) <strong>Determine the convergence or divergence of the series   using any appropriate test.</strong> A)   B)
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21
Find the values of x for which the series <strong>Find the values of x for which the series   converges.</strong> A)   B)   C)   D)   E)   converges.

A) <strong>Find the values of x for which the series   converges.</strong> A)   B)   C)   D)   E)
B) <strong>Find the values of x for which the series   converges.</strong> A)   B)   C)   D)   E)
C) <strong>Find the values of x for which the series   converges.</strong> A)   B)   C)   D)   E)
D) <strong>Find the values of x for which the series   converges.</strong> A)   B)   C)   D)   E)
E) <strong>Find the values of x for which the series   converges.</strong> A)   B)   C)   D)   E)
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