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

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

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

If the sum to infinity of the series 1 + 4x + 7x^2 + 10x^3 +............. is 35/16 then x= (A) 1/5 (B) 2/5 (C) 3/7 (D)1/7

Find the sum to infinity of the series 1 + (1+a)r+(1 + a + a ^(2))r^(2) + … where 0 lt a, r le 1

Find the sum to inifinity of the following series: 1+2/3+3/(3^(2))+4/(3^(3))+ ……………. Find the sum of the following (22-24) series:

Find the sum of the infinite series 1^(2)+5^(2)x+9^(2)x^(2)+13^(2)x^(3)+...oo where |x|<1

If p is positive, then the sum to infinity of the series, 1/(1+p) -(1-p)/(1+p)^2 + (1-p)^2/ (1+p)^3 -........ is

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

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