" 22.The sum of "(3)/(1.2)*(1)/(2)+(4)/(2.3)*((1)/(2))^(2)+(5)/(3.4)*((1)/(2))^(3)+...." to "n" terms is equal to "

Find the sum (3)/(1xx2)xx(1)/(2)+(4)/(2xx3)xx((1)/(2))^(2)+(5)/(3xx4)xx((1)/(2))^(2)+... to n terms.

The sum of the series (2)/(1.2)+(5)/(2.3)2^(1)+(10)/(3.4)2^(2)+(17)/(4.5)2^(3)+.... upto n terms is equal:

1+(1+2)/(2)+(1+2+3)/(3) +(1+2+3+4)/(4)+.. . to n terms =

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 :

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 :

Find the sum 3/(1xx2)xx1/2+4/(2xx3)xx(1/2)^2+5/(3xx4)xx(1/2)^3+ to n terms.

If the sum of first 15 terms of series ((4)/(3))^(3)+(1(3)/(5))^(3)+(2(2)/(5))^(3)+(3(1)/(5))^(3)+4^(3) is equal to (512)/(2)k then k is equal to:

1+((1)/(3)+(1)/(3^(2)))+((1)/(3^(3))+(1)/(3^(4))+(1)/(3^(5)))+ sum of the terms in the n^(th) bracket =

The sum of the series, (1)/(2.3) .2 + (2)/(3.4).2^(2) + (3)/(4.5).2^(3) + ….to n terms is