Find the sum of `n` terms of the series `1. 2^2=2. 3^2+3. 4^2+`

Find the sum of n terms of the series 1^3+3.2^2+3^3+3.4^2+5^3+3.6^2+....... when (i)n is odd (ii)n is even

Find the sum to n terms of the series: 3/(1^2 .2^2)+5/(2^2 .3^2)+7/(3^2 .4^2)+......

Find the nth term and the sum to n terms of the series 1.2+ 2.3 +3.4 + ...

Find the sum of n terms of the series 1^2 + 4^2+ 7^2 + .........

Find the sum of n terms of the series 1^2 + 4^2+ 7^2 + .........

Find the sum to n terms of the series (1.2.3) + (2.3.4) + (3.4.5) ...

Find the sum of n terms \ of the series: 1/(1. 2)+1/(2. 3)+1/(3. 4)+...............+1/(n.(n+1))

Find the sum of n terms \ of the series: 1/(1. 2)+1/(2. 3)+1/(3. 4)+dot+1/(ndot(n+1))

Find the sum to n terms of the series 1^2+2^2+3^2-4^2+5^2-6^2+. . . .

Find the sum to n terms of the series : 1 xx 2 + 2 xx 3 + 3xx4 + 4xx5+. . . . . .