" If "S=(1)/(3^(2)+-1)+(1)/(4^(2)+2)+(1)/(5^(2)+3)+(1)/(6^(2)+4)+...oo" then the value of "

Find the sum of the series (1)/(3^(2)+1)+(1)/(4^(2)+2)+(1)/(5^(2)+3)+(1)/(6^(2)+4)+...oo

Let S denote sum of the series (3)/(2^(3))+(4)/(2^(4)*3)+(5)/(2^(6)*3)+(6)/(2^(7).5)+...oo Then the value of S^(-1) is

If S=(1)/(1+1^(2)+1^(4))+(2)/(1+2^(2)+2^(4))+(3)/(1+3^(2)+3^(4))+......oo then find the value of 14S.

(1)/(3)+(1)/(2.3^(2))+(1)/(3.3^(3))+(1)/(4.3^(4))+….oo=

Find (1)/(3)+(1)/(2.3^(2))+(1)/(3.3^(3))+(1)/(4.3^(4))+….oo=?

The value of the sum (1)/(3^(2)+1)+(1)/(4^(2)+2)+(1)/(5^(2)+3)+...oo is equal

If (1)/(1^(2))+(1)/(2^(2))+(1)/(3^(2))+...oo=(pi^(2))/(6) then value of 1-(1)/(2^(2))+(1)/(3^(2))-(1)/(4^(2))+...oo=

(1+1/3.(1)/(2^(2))+1/5.(1)/(2^(4))+1/7(1)/2^(6)+…..oo) =

(1+1/3.(1)/(2^(2))+1/5.(1)/(2^(4))+1/7(1)/2^(6)+…..oo) =