SOLUTION: Given that the first term and the common ratio of a geometric sequence are 3/8 and -2 respectively, and the sum of the first n terms is -8,191.875, find the sum of the (n+1) term t

Question 1188018: Given that the first term and the common ratio of a geometric sequence are 3/8 and -2 respectively, and the sum of the first n terms is -8,191.875, find the sum of the (n+1) term to the (n+5) term.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

S(n) = a+ar+ar^2+...+ar^(n-1)

S(n) = a(1+r+r^2+...+r^(n-1)

We are given a=3/8, r=-2, and S(n) = -8191.875. Plug the numbers into the formula to determine n.

We are to find the sum of the (n+1) term to the (n+5) term, or the sum of the 17th to 21st terms, which is S(21)-S(16).

And then

ANSWER: 270336

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