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

 May 5, 2023
 #1
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-1

The sum is 13/7.

 May 6, 2023
 #2
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+2

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

 May 6, 2023
 #3
avatar+33602 
+2

Here's one way of approaching this:

 May 6, 2023

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