Find the sum to n terms of the series `1.2.3+2.3.4+3.4.5+…`

The sum to 100 terms of the series 1.2.3. + 2.3.4. + 3.4.5. + …+ n(n + 1) (n+2) + …. is integral multiple of

Find the nth term and the sum of n terms of the series 1.2.4+2.3.5+3.4.6+....

Find the sum of n terms of the series 1*2*3+2*3*4+3*4*5.........

Find the sum to n terms of the series: 1xx2xx3+2xx3xx4+3xx4xx5+.

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 1 *2 *3 + 2*4*6 + 3*6*9+...

Find the sum to n terms of the series 1xx2+2xx3+3xx4+4xx5+......

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