231k views
22 votes
I’ve been stuck on this problem for the last 10 minutes and really need help! Here’s the problem:

I’ve been stuck on this problem for the last 10 minutes and really need help! Here-example-1
User Wrozwad
by
6.3k points

1 Answer

2 votes

Answer:

25.5

Explanation:

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 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)

----

2nd term: a*r = 170*0.15 = 25.5

--------------------------------------

User Mtnkodiak
by
5.3k points