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Compute the value of 1/5+3/25+7/125+15/625+31/3125+.......

 Aug 11, 2022
 #1
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1/5, 3/25, 7/125, 3/125, 31/3125, 63/15625, 127/78125, 51/78125, 511/1953125, 1023/9765625, ...etc.

 

The "closed form" of the sequence is:

 

a(n) = 5^(-n) (2^n - 1) (for any term)

 

∑[ 5^(-n) (2^n - 1), n,  1,  ∞] ==It converges to 5 / 12

 Aug 12, 2022
 #2
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Thank you!

Guest Aug 12, 2022

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