Let `S_(n)` denote the sum of n terms of the series  `1^(2)+3xx2^(2)+3^(2)+3xx4^(2)+5^(2)+3xx6^(2)+7
Channel: Doubtnut
Date: 2020-05-24

Let `S_(n)` denote the sum of n terms of the series  `1^(2)+3xx2^(2)+3^(2)+3xx4^(2)+5^(2)+3xx6^(2)+7^(2)+ . . . .`  Statement -1: If n is odd, then `S_(n)=(n(n+1)(4n-1))/(6)`  Statement -2: If n is even, then `S_(n)=(n(n+1)(4n+5))/(6)`