AnswersPrecalculusFinite Geometric Series

Finite Geometric Series — Quiz Answers

10 verified answers
1
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Which of the following is a geometric series?

A
0 point 4 plus 0 point 9 plus 1 point 5 plus 2 point 2
B
0 point 1 plus 0 point 3 plus 0 point 5 plus 0 point 7
C
1 plus 3 plus 9 plus 27
D
19 plus 17 plus 15 plus 13
2
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What is the summation notation for the geometric series 1 half plus 2 plus 8 plus 32 plus 128 ?

A
the sum from k is equal to 1 to 5 of 1 half
B
the sum from k is equal to 1 to 5 of 1 half
C
the sum from k is equal to 1 to 5 of 4
D
the sum from k is equal to 1 to 5 of 4
3

What is the sum of this geometric series? the sum from k is equal to 1 to 6 of 2

A
828
B
486
C
726
D
728
4

What are the values of r and A sub 1 for this series? the sum from k is equal to 1 to 3 of 0 point 4 5

A
r is equal to 0 point 4 5 ; A sub 1 is equal to 8
B
r is equal to 8 ; A sub 1 is equal to 3
C
r is equal to 0 point 4 5 ; A sub 1 is equal to 3
D
r is equal to 8 ; A sub 1 is equal to 0 point 4 5
5

Which of the following is a geometric series?

A
7 plus 21 plus 35 plus 45
B
6 plus 13 plus 20 plus 27
C
14 plus 21 plus 28 plus 35
D
2 plus 14 plus 98 plus 686
6

Which of the following is a geometric series?

A
40 plus 80 plus 40 plus 120
B
40 plus 50 plus 60 plus 70
C
40 plus 42 plus 44 plus 46
D
40 plus 20 plus 10 plus 5
7

What are the values of r and A sub 1 for this series? the sum from k is equal to 1 to 6 of 1 fourth

A
r is equal to 2 ; A sub 1 is equal to 1 fourth
B
r is equal to 1 fourth ; A sub 1 is equal to 2
C
r is equal to 1 fourth ; A sub 1 is equal to 6
D
r is equal to 2 ; A sub 1 is equal to 6
8

What are the values of r and A sub 1 for this series? the sum from k is equal to 1 to 5 of 3

A
r is equal to 5 ; A sub 1 is equal to 1 third
B
r is equal to 1 third ; A sub 1 is equal to 3
C
r is equal to 5 ; A sub 1 is equal to 5
D
r is equal to 1 fifth ; A sub 1 is equal to 3
9

What is the approximate value of this series? the sum from n is equal to 1 to 5 of 3 Round your answer to the nearest hundredth.

A
3 point 7 5
B
4 point 2 5
C
3 point 0 0
D
1 point 2 5
10

Which of the following can be used to evaluate this series? the sum from k is equal to 1 to 9 of 2

A
2 times open paren the fraction with numerator 1 minus 4 to the 8th power and denominator 1 minus 4 close paren
B
2 times open paren the fraction with numerator open paren 1 minus 4 close paren to the 9th power and denominator 1 minus 4 close paren
C
2 times open paren the fraction with numerator 1 minus 4 to the 10th power and denominator 1 minus 4 close paren
D
2 times open paren the fraction with numerator 1 minus 4 to the 9th power and denominator 1 minus 4 close paren

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