Sum to infininty of the series `1 + 4/5 + 7/5^(2) + 10/5^(3) + ......` is

The sum of the series 1^(2) + 3^(2) + 5^(2) + ......+n'

Find the sum to n terms of each of the series in 3 × 1^(2) + 5 × 2^(2) + 7 × 3^(2) +.........

Find the sum to ininity of the series 1-3x+5x^2+7x^3+..... oo when Ix| <1.

If the surm of the first ten terms of the series, (1 3/5)^2+(2 2/5)^2+(3 1/5)^2+4^2+(4 4/5)^2+........ , is 16/5m ,then m is equal to

Find the sum to n terms of each of the series in 5^2 + 6^2 + 7^2 + ... + 20^(2)

Find the sum of the series 1+3x+5x^2+7x^3+...... n terms.

The sum up to n terms of the series 1/(sqrt(1) + sqrt(3)) + 1/(sqrt(3) + sqrt(5)) + 1/(sqrt(5) + sqrt(7)) +… is:

The sum up to 10 terms of the series (3 xx 1^(3))/(1^(2)) + (5 xx (1^(3) + 2^(3)))/(1^(2) + 2^(2)) + (7 xx (1^(3) + 2^(3) + 3^(3)))/(1^(2) + 2^(2) + 3^(2)) + ....

Find the sum 1+4/5+7/(25)+(10)/(125)+ . ..