Sum the following series to n terms and to infinity: `1/(1.4.7)+1/(4.7.10)+1/(7.10.13)+.....`

Sum the following series to n terms and to infinity : (i) (1)/(1.4.7) + (1)/(4.7.10) + (1)/(7.10.13) + ... (ii) sum_(r=1)^(n) r (r + 1) (r + 2) (r + 3) (iii) sum_(r=1)^(n) (1)/(4r^(2) - 1)

Sum the following series to n terms and to infinity 1- (1)/(2) + (1)/(4)-(1)/(8) +....

Find sum of the following series to n terms and to infinity: sum_(r=1)^(n)(1)/(4r^(2)-1)

Find the sum of the series to n terms and to infinity : (1)/(1.3)+ (1)/(3.5) +(1)/(5.7) +(1)/(7.9)+...

Sum to n terms of the series (1)/(1.4.7) + (1)/(4.7.10) + (1)/(7.10.13) +…….

Sum of the following series to n term: 1/(1* 4)+1/(4* 7)+1/(7*10)+ ...............

Sum of the following series to n term: 1/(1* 4)+1/(4* 7)+1/(7*10)+ ...............

Sum of the following series to n term: 1+3+7+13+21+ ............