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Grade: 12th pass
        
Summation Sn= 1/1^2 + +1/3^2 + 1/5^2 + 1/7^2 + 1/9^2 .....infinite=?
27 days ago

Answers : (1)

Aditya Gupta
1061 Points
							
Sn= 1/1^2 + +1/3^2 + 1/5^2 + 1/7^2 + 1/9^2 .....infinite
let Tn= 1/2^2 + +1/4^2 + 1/6^2 + 1/8^2 + 1/10^2 .....infinite
4Tn= 1/1^2 + +1/2^2 + 1/3^2 + 1/4^2 + 1/5^2 .....infinite= pi^2/6
also, Sn+Tn= 1/1^2 + +1/2^2 + 1/3^2 + 1/4^2 + 1/5^2 .....infinite= pi^2/6
so Sn= pi^2/6(1 – 1/4)= pi^2/8
26 days ago
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