even more more more geometric series and sequences

Question

0

147

3

+63

Compute $1 + \frac{3}{5} + \frac{5}{5^2} + \frac{7}{5^3} + \dotsb$

youngwolf May 5, 2023

Guest · Answer 1 · 2023-05-06T02:13:33

The sum is 13/7.

Guest · Answer 2 · 2023-05-06T09:50:21

1 + ∑[(2n + 1)/ (5^n), n, 1, ∞]==15 / 8 ==1.875

Alan · Answer 3 · 2023-05-06T11:06:50

Here's one way of approaching this: