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What is the sum of the following sequence:
1/1 + 1/3^2 + 1/5^2 + 1/7^2 + 1/9^2 +.............to infinity.
Notice that the sequence is the sum of the reciprocals of squares of ALL odd numbers to infinity. Thanks for any help. 

 Oct 28, 2017

Best Answer 

 #1
avatar+23246 
+1

This site:

https://math.stackexchange.com/questions/402451/evaluating-a-summation-of-inverse-squares-over-odd-indices

has both the answer and an explanation.

 Oct 28, 2017
 #1
avatar+23246 
+1
Best Answer

This site:

https://math.stackexchange.com/questions/402451/evaluating-a-summation-of-inverse-squares-over-odd-indices

has both the answer and an explanation.

geno3141 Oct 28, 2017

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