The sum of series `(1)/(2)+(3)/(2^(2))+(5)/(2^(3))+(7)/(2^(4))+...` up to infinite terms is equal to

The sum of the series 1+(3)/(4)+(6)/(4^(2))+(10)/(4^(3))+... upto infinite terms is

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:

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 (3)/(1^(2))+(5)/(1^(2)+2^(2))+(7)/(1^(2)+2^(2)+3^(2))+...... upto n terms,is

Find the sum of the infinite series (1.3)/(2)+(3.5)/(2^(2))+(5.7)/(2^(3))+(7.9)/(2^(4))+......oo

Sum of the series (1)/(4.1^(2)-1)+(1)/(4.2^(2)-1)+(1)/(4.3^(2)-1)+ upto infinite terms is a.(3)/(2)(2)(1)/(2)(3)1(4) infinite

If S denotes the sum of first 24 terms of series (1^(2))/(1*3)+(2^(2))/(3*5)+(3^(2))/(5*7)+.... then S can not be equal to :

The sum to 50 terms of series (3)/(1^(2))+(5)/(1^(2)+2^(2))+(7)/(1^(2)+2^(2)+3^(2))+...... is equal to

(1)/(2)+(3)/(4)+(5)/(8) The sum of the series infinite terms is

" The sum of the infinite series 1+(2)/(3)+(7)/(3^(2))+(12)/(3^(3))+(17)/(3^(4))+(22)/(3^(3))+.... is equal to: