Find the sum `(1^2)/(2)+(3^2)/(2^2)+(5^2)/(2^3)+(7^2)/(2^4)+….oo`

Find the sum: (1)/(3) + (2)/(3^(2)) + (1)/(3^(3)) + (2)/(3^(4)) + (1)/(3^(5)) + (2)/(3^(6)) + …..oo

Find sum: (1)/(2) + (1)/(3^(2)) + (1)/(2^(3)) + (1)/(3^(4)) + (1)/(2^(5)) + (1)/(3^(6))+ …..oo

Find the sum 2(1)/(3)+1(1)/(4)+2(5)/(6)+3(7)/(12)

Find the sum 1 2/7+3/7+2 5/7

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 each of the following infinite geometric series, if it exists : (2)/(5) + (3)/(5^(2)) + (2)/(5^(3)) + (3)/(5^(4)) + (2)/(5^(5)) + (3)/(5^(6)) +…oo

Let S denote sum of the series (3)/(2^(3))+(4)/(2^(4)*3)+(5)/(2^(6)*3)+(6)/(2^(7).5)+...oo Then the value of S^(-1) is

Find the sum of the series (1)/(3^(2)+1)+(1)/(4^(2)+2)+(1)/(5^(2)+3)+(1)/(6^(2)+4)+...oo