If the sum to infinity of the series `3+(3+d)1/4+(3+2d)1/(4^2)+oo` is `(44)/9` , then find `ddot`

If the sum to infinity of the series: 3+(3+d).1/4+(3+2d).1/(4^(2))+ ………. Is 4 8/9 find d. Also name the series.

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

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

If the sum to infinity of the series 3 + (3 + d). (1)/(4) + (3 + 2d) (1)/(4^(2)) + ..... " is " (44)/(9) then find d

If the sum to the infinity of the series 3+5r+7r^(2)+... is (44)/(9) then find the value of r

The sum to infinity of the series 1+(4)/(7)+(9)/(49)+(16)/(343)+.... is

The sum to infinity of the series 1+ (4)/(5) + (7)/(5^2) + (10)/(5^3) +....is

If the sum to infinity of the series: 1-(1+d)((1)/(3))+(1+2d)((1)/(9))-(1+3d)((1)/(27))+ is (9)/(16) then find d

If the sum to infinity of the series 1+2r+3r^(2)+4r^(3)+ is 9/4, then value of r is (a)1/2 b.1/3 c.1/4 d.none of these