Find the nth term and sum to n tems of the following series: 2+6+12+20+…

Find the nth term and sum to n tems of the following series: 1+5+12+22+…………..

Find the nth term and sum to n tems of the following series: 3+6+11+18+…

Find the sum of n terms and sum to infinity of the following series : (1)/(2cdot4)+(1)/(4cdot6)+(1)/(6cdot8)+…

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

Find the nth terms and the sum to n term of the series : 1^(2)+(1^(2)+2^(2))+(1^(2)+2^(2)+3^(2))+...

Find the nth terms and the sum to n term of the series : 1^(2)+3^(2)+5^(2)+....

Find the nth term and deduce the sum to n terms of the series 4+11+22+37+ 56 + ....

Find the nth terms and the sum to n term of the series : 1.4.7+2.5.8+3.6.9 + ...

Find the nth term and deduce the sum of n terms of the series 4+11+22+37+56+………….

Find the nth term and then the sum to n terms of the series 3.5 +4.7+ 5.9 +....