see i have a trick.....................u might b knowing tht if a& b r 2 consecutive no's then a^2 -b^2 =a+b same is here see 3 / 1^2*2^2 + 5 / 2^2*3^2 + 7 / 3^2*4^2 + ......................... upto n terms. can b written as 2^2-1^2/1^2*2^2 +3^2-2^2/ 2^2*3^2 + 4^2-3^2/ 3^2*4^2 ...............n^2-(n-1)^2/n+1^2*(n)^2 1-1/4 +1/4 -1/9 +1/9 /........................-1/(n+1)^2 after cancelling we get 1 - 1/(n + 1)2
hope that was easy
there is no right way 2 do something wrong !!!!!!!!