SOLUTION: the sum of an infinite geometric series with first term a and common ratio r<1 is given by a/1-r. the sum of a given infinte geometric series is 200, and the common ratio is 0.15.

Question 550355: the sum of an infinite geometric series with first term a and common ratio r<1 is given by a/1-r. the sum of a given infinte geometric series is 200, and the common ratio is 0.15. What is the second term of this series?
the act answer key has f as the answer but if u could please show work and how it got that, then that would be fantastic. Thanks for ur help and have a great day!
f. 25.5
g. 30
h. 169.85
j. 170
k. 199.85
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the sum of an infinite geometric series with first term a and common ratio r<1 is given by a/(1-r).
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the sum of a given infinite geometric series is 200, and the common ratio is 0.15. What is the second term of this series?
Solve:
a/(1-r) = 200
a/0.85 = 200
a = 170 (that is the 1st term)
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2nd term: a*r = 170*0.15 = 25.5
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Cheers,
Stan H.
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the act answer key has f as the answer but if u could please show work and how it got that, then that would be fantastic. Thanks for ur help and have a great day!
f. 25.5
g. 30
h. 169.85
j. 170
k. 199.85

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