The sum to infinity of the series `1+2/3+6/(3^2)+(10)/(3^3)+(14)/(3^4). . . . . .` is (1) 2 (2) 3 (3) 4 (4) 6

The sum to infinity of the following series (1)/(1*2)+(1)/(2*3)+(1)/(3*4)+.... shall be

The sum of the series (1)/(3)+(1)/(3^(2)xx2)+(1)/(3^(3)xx3)+(1)/(3^(4)xx4)+... is :

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

The sum of the series 1+ 2/3+ (1)/(3 ^(2)) + (2 )/(3 ^(3)) + (1)/(3 ^(4)) + (2)/(3 ^(5)) + (1)/(3 ^(6))+ (2)/(3 ^(7))+ …… upto infinite terms is equal to :