Exam 8: Quadratic Equations and Functions

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation. - $1 ^ { 5 } + 2 ^ { 5 } + 3 ^ { 5 } + \ldots + 7 ^ { 5 }$

(Multiple Choice)

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Question 61

Find the common ratio for the geometric sequence. -6, -2.4, 0.96, -0.384, . . .

(Multiple Choice)

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Question 62

Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated term of the sequence with the given first term, a1, and common difference, d. - $a _ { 1 } = - 9 , d = - 0.5$

(Multiple Choice)

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Question 63

Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum. - $\sum _ { \mathrm { i } = 1 } ^ { 49 } ( 5 \mathrm { i } + 5 )$

(Multiple Choice)

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Question 64

Find the indicated sum. - $\sum _ { i = 4 } ^ { 7 } 8 i$

(Multiple Choice)

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Question 65

Write out the first three terms and the last term of the arithmetic sequence. - $\sum _ { i = 1 } ^ { 12 }$

(Multiple Choice)

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Question 66

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation. - $15 + 19 + 23 + 27 + \ldots + 47$

(Multiple Choice)

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Question 67

Write the first four terms of the sequence whose general term is given. - $a _ { n } = n - 4$

(Multiple Choice)

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Question 68

Find the common ratio for the geometric sequence. -1, 3, 9, 27, 81, . . .

(Multiple Choice)

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Question 69

Write a formula for the general term (the nth term) of the geometric sequence. - $2 , - 4,8 , - 16,32 , \ldots$

(Multiple Choice)

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Question 70

Write the first four terms of the sequence whose general term is given. - $\mathrm { a } _ { \mathrm { n } } = \frac { ( - 1 ) ^ { \mathrm { n } + 1 } } { \mathrm { n } + 8 }$

(Multiple Choice)

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Question 71

Write the first four terms of the sequence whose general term is given. - $a _ { n } = \frac { ( n - 1 ) ! } { n ^ { 4 } }$

(Multiple Choice)

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Question 72

Find the common ratio for the geometric sequence. -8, -0.8, 0.08, -0.008, . . .

(Multiple Choice)

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Question 73

Find the common difference for the arithmetic sequence. --12, -16, -20, -24, . . .

(Multiple Choice)

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Question 74

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation. - $8 + 9 + 10 + 11 + \ldots + 32$

(Multiple Choice)

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Question 75

Find the common ratio for the geometric sequence. - $1 , \frac { 1 } { 4 } , \frac { 1 } { 16 } , \frac { 1 } { 64 } , \frac { 1 } { 256 } , \ldots$

(Multiple Choice)

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Question 76

Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum. - $\sum _ { i = 1 } ^ { 50 } 2 \mathrm { i }$

(Multiple Choice)

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Question 77

Find the indicated sum. - $\sum _ { i = 1 } ^ { 5 } ( i - 10 )$

(Multiple Choice)

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Question 78

Find the indicated sum. - $\sum _ { k = 1 } ^ { 4 } ( - 1 ) ^ { k } ( k + 13 )$

(Multiple Choice)

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Question 79

Write the first four terms of the sequence whose general term is given. - $a _ { n } = - 4 ( n + 1 ) !$

(Multiple Choice)

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Question 80

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation. - $1 ^ { 5 } + 2 ^ { 5 } + 3 ^ { 5 } + \ldots + 7 ^ { 5 }$

Find the common ratio for the geometric sequence. -6, -2.4, 0.96, -0.384, . . .

Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated term of the sequence with the given first term, a1, and common difference, d. - $a _ { 1 } = - 9 , d = - 0.5$

Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum. - $\sum _ { \mathrm { i } = 1 } ^ { 49 } ( 5 \mathrm { i } + 5 )$

Find the indicated sum. - $\sum _ { i = 4 } ^ { 7 } 8 i$

Write out the first three terms and the last term of the arithmetic sequence. - $\sum _ { i = 1 } ^ { 12 }$

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation. - $15 + 19 + 23 + 27 + \ldots + 47$

Write the first four terms of the sequence whose general term is given. - $a _ { n } = n - 4$

Find the common ratio for the geometric sequence. -1, 3, 9, 27, 81, . . .

Write a formula for the general term (the nth term) of the geometric sequence. - $2 , - 4,8 , - 16,32 , \ldots$

Write the first four terms of the sequence whose general term is given. - $\mathrm { a } _ { \mathrm { n } } = \frac { ( - 1 ) ^ { \mathrm { n } + 1 } } { \mathrm { n } + 8 }$

Write the first four terms of the sequence whose general term is given. - $a _ { n } = \frac { ( n - 1 ) ! } { n ^ { 4 } }$

Find the common ratio for the geometric sequence. -8, -0.8, 0.08, -0.008, . . .

Find the common difference for the arithmetic sequence. --12, -16, -20, -24, . . .

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation. - $8 + 9 + 10 + 11 + \ldots + 32$

Find the common ratio for the geometric sequence. - $1 , \frac { 1 } { 4 } , \frac { 1 } { 16 } , \frac { 1 } { 64 } , \frac { 1 } { 256 } , \ldots$

Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum. - $\sum _ { i = 1 } ^ { 50 } 2 \mathrm { i }$

Find the indicated sum. - $\sum _ { i = 1 } ^ { 5 } ( i - 10 )$

Find the indicated sum. - $\sum _ { k = 1 } ^ { 4 } ( - 1 ) ^ { k } ( k + 13 )$

Write the first four terms of the sequence whose general term is given. - $a _ { n } = - 4 ( n + 1 ) !$

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Exam 8: Quadratic Equations and Functions

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation. - 15+25+35+…+751 ^ { 5 } + 2 ^ { 5 } + 3 ^ { 5 } + \ldots + 7 ^ { 5 }15+25+35+…+75

Find the common ratio for the geometric sequence. -6, -2.4, 0.96, -0.384, . . .

Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated term of the sequence with the given first term, a1, and common difference, d. - a1=−9,d=−0.5a _ { 1 } = - 9 , d = - 0.5a1​=−9,d=−0.5

Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum. - ∑i=149(5i+5)\sum _ { \mathrm { i } = 1 } ^ { 49 } ( 5 \mathrm { i } + 5 )∑i=149​(5i+5)

Find the indicated sum. - ∑i=478i\sum _ { i = 4 } ^ { 7 } 8 i∑i=47​8i

Write out the first three terms and the last term of the arithmetic sequence. - ∑i=112\sum _ { i = 1 } ^ { 12 }∑i=112​

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation. - 15+19+23+27+…+4715 + 19 + 23 + 27 + \ldots + 4715+19+23+27+…+47

Write the first four terms of the sequence whose general term is given. - an=n−4a _ { n } = n - 4an​=n−4

Find the common ratio for the geometric sequence. -1, 3, 9, 27, 81, . . .

Write a formula for the general term (the nth term) of the geometric sequence. - 2,−4,8,−16,32,…2 , - 4,8 , - 16,32 , \ldots2,−4,8,−16,32,…

Write the first four terms of the sequence whose general term is given. - an=(−1)n+1n+8\mathrm { a } _ { \mathrm { n } } = \frac { ( - 1 ) ^ { \mathrm { n } + 1 } } { \mathrm { n } + 8 }an​=n+8(−1)n+1​

Write the first four terms of the sequence whose general term is given. - an=(n−1)!n4a _ { n } = \frac { ( n - 1 ) ! } { n ^ { 4 } }an​=n4(n−1)!​

Find the common ratio for the geometric sequence. -8, -0.8, 0.08, -0.008, . . .

Find the common difference for the arithmetic sequence. --12, -16, -20, -24, . . .

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation. - 8+9+10+11+…+328 + 9 + 10 + 11 + \ldots + 328+9+10+11+…+32

Find the common ratio for the geometric sequence. - 1,14,116,164,1256,…1 , \frac { 1 } { 4 } , \frac { 1 } { 16 } , \frac { 1 } { 64 } , \frac { 1 } { 256 } , \ldots1,41​,161​,641​,2561​,…

Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum. - ∑i=1502i\sum _ { i = 1 } ^ { 50 } 2 \mathrm { i }∑i=150​2i

Find the indicated sum. - ∑i=15(i−10)\sum _ { i = 1 } ^ { 5 } ( i - 10 )∑i=15​(i−10)

Find the indicated sum. - ∑k=14(−1)k(k+13)\sum _ { k = 1 } ^ { 4 } ( - 1 ) ^ { k } ( k + 13 )∑k=14​(−1)k(k+13)

Write the first four terms of the sequence whose general term is given. - an=−4(n+1)!a _ { n } = - 4 ( n + 1 ) !an​=−4(n+1)!

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Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation. - $1 ^ { 5 } + 2 ^ { 5 } + 3 ^ { 5 } + \ldots + 7 ^ { 5 }$

Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated term of the sequence with the given first term, a1, and common difference, d. - $a _ { 1 } = - 9 , d = - 0.5$

Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum. - $\sum _ { \mathrm { i } = 1 } ^ { 49 } ( 5 \mathrm { i } + 5 )$

Find the indicated sum. - $\sum _ { i = 4 } ^ { 7 } 8 i$

Write out the first three terms and the last term of the arithmetic sequence. - $\sum _ { i = 1 } ^ { 12 }$

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation. - $15 + 19 + 23 + 27 + \ldots + 47$

Write the first four terms of the sequence whose general term is given. - $a _ { n } = n - 4$

Write a formula for the general term (the nth term) of the geometric sequence. - $2 , - 4,8 , - 16,32 , \ldots$

Write the first four terms of the sequence whose general term is given. - $\mathrm { a } _ { \mathrm { n } } = \frac { ( - 1 ) ^ { \mathrm { n } + 1 } } { \mathrm { n } + 8 }$

Write the first four terms of the sequence whose general term is given. - $a _ { n } = \frac { ( n - 1 ) ! } { n ^ { 4 } }$

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation. - $8 + 9 + 10 + 11 + \ldots + 32$

Find the common ratio for the geometric sequence. - $1 , \frac { 1 } { 4 } , \frac { 1 } { 16 } , \frac { 1 } { 64 } , \frac { 1 } { 256 } , \ldots$

Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum. - $\sum _ { i = 1 } ^ { 50 } 2 \mathrm { i }$

Find the indicated sum. - $\sum _ { i = 1 } ^ { 5 } ( i - 10 )$

Find the indicated sum. - $\sum _ { k = 1 } ^ { 4 } ( - 1 ) ^ { k } ( k + 13 )$

Write the first four terms of the sequence whose general term is given. - $a _ { n } = - 4 ( n + 1 ) !$