Find the sum to infinity of the series `1^2+2^2x+3^2x^2+oodot`

Find the sum to infinity of the series 1^2+2^2+3^2+4^2+oodot

Find the sum to infinity of the series 1^(2)+2^(2)x+3^(2)x^(2)+oo

Find the sum to infinity of the series 1-3x+ 5x^(2)+7x^(3)+ cdots oo when |x| lt 1 .

Find the sum to infinity of the series 2+1+(1)/(2)+...oo.

Find the sum to infinity of the series 2+1+(1)/(2)+...oo.

If |x|<1 and |y|<1, find the sum to infinity of the series : (x+y)+(x^2+x y+y^2)+(x^3+x^2y+x y^2+y^3)+ .......

Find the sum to infinity of the series: 1+(3)/(2)+(5)/(2^(2))+(7)/(2^(3))+.........oo

Find the sum to infinity of the following series : 1+2/3+ 3/3^2+4/3^3 + .......

If the sum to infinity of the series 1 + 4x + 7x^2 + 10x^3 +............. is 35/16 then x=

If the sum to infinity of the series 3 + 5x + 7x^(2) + …oo = (44)/(9) then x=