Deck 13: Special Topics
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Deck 13: Special Topics
1
Provide an appropriate response.
Indicate by letter which of the following sequences can be the first three terms of a geometric sequence and state the
common ratio for those that are.
(A)
(B) 
Indicate by letter which of the following sequences can be the first three terms of a geometric sequence and state the
common ratio for those that are.
(A)




2
Provide an appropriate response.
If a person borrows $13,200 and agrees to repay the loan by paying $200 per month to reduce the loan and 1% of
the unpaid balance each month for using the money, what is the total cost of the loan over 66 months?
If a person borrows $13,200 and agrees to repay the loan by paying $200 per month to reduce the loan and 1% of
the unpaid balance each month for using the money, what is the total cost of the loan over 66 months?

3
Provide an appropriate response.
Evaluate: C
Evaluate: C

9,880
4
Provide an appropriate response.
Find the sum of the infinite geometric sequence (if it exists):
Find the sum of the infinite geometric sequence (if it exists):

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5
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Find the common ratio of a geometric sequence if the first term is 5 and the 12th term is 30.
Find the common ratio of a geometric sequence if the first term is 5 and the 12th term is 30.
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6
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Write
without summation notation. Do not evaluate.
Write

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7
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Write the alternating series
using summation notation with the summing index k starting
at k = 1.
Write the alternating series

at k = 1.
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8
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Find the sum of all the odd integers between 52 and 346.
Find the sum of all the odd integers between 52 and 346.
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9
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Find the 300th term and the sum of the first 300 terms for the arithmetic sequence 8, 11, 14, . . .
Find the 300th term and the sum of the first 300 terms for the arithmetic sequence 8, 11, 14, . . .
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10
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Find the sixth term in the expansion of
Find the sixth term in the expansion of

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11
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Expand:
Expand:

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12
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Find the sum of the infinite geometric sequence (if it exists):
Find the sum of the infinite geometric sequence (if it exists):

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13
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Write the first four terms of the sequence
Write the first four terms of the sequence

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14
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Write the following sum using summation notation:
Write the following sum using summation notation:

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15
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Find the 67th term of the sequence defined by
Find the 67th term of the sequence defined by

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16
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Evaluate:
Evaluate:

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17
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Find the sum of the first 25 terms of the geometric sequence
Find the sum of the first 25 terms of the geometric sequence

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18
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Find the general term of a sequence whose first four terms are
Find the general term of a sequence whose first four terms are

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19
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Find the first five terms of the sequence defined by the recursive formula
Find the first five terms of the sequence defined by the recursive formula

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20
Provide an appropriate response.
Indicate by letter which of the following sequences can be the first three terms of an arithmetic sequence and state the
common difference for those that are.
(A) 9, 3, -3, . . . (B) 2, 6, 10, . . . (C) 5, 8, 12, . . .
Indicate by letter which of the following sequences can be the first three terms of an arithmetic sequence and state the
common difference for those that are.
(A) 9, 3, -3, . . . (B) 2, 6, 10, . . . (C) 5, 8, 12, . . .
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