" Brove that the sum of the infinite series "(1.3)/(2)+(3.5)/(2^(2))+(5.7)/(2^(3))+(7.9)/(2^(4))+..........00=23.

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

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

Find the sum of the infinite series. 3/(1^(2).2^(2))+5/(2^(2).3^(2))+7/(3^(2).4^(2))+...

Find the sum of the infinite series. 1/(1.2)+1/(2.3)+1/(3.4)+...

The sum of the infinite series,1^(2)-(2^(2))/(5)+(3^(2))/(5^(2))-(4^(2))/(5^(3))+(5^(2))/(5^(4))......is

Find the sum of the infinite series. 1/(1.2.3)+1/(2.3.4)+1/(3.4.5)+...

Find the sum to n terms of the series: (3)/(1^(2).2^(2))+(5)/(2^(2).3^(2))+(7)/(3^(2).4^(2))+

The sum of the infinite series (5)/(3^(2)xx7^(2))+(9)/(7^(2)xx11^(2))+(13)/(11^(2)xx15^(2))+... is

Prove that : Find the sum of the infinite series 1+(2)/(3).(1)/(2)+(2.5)/(3.6)((1)/(2))^(2)+(2.5.8)/(3.6.9)((1)/(2))^(3)+......oo