The sum of the infinite series, `1 ^(2) -(2^(2))/(5) + (3 ^(2))/(5 ^(3))+ (3^(2))/(5 ^(3))+ (5 ^(2))/(5 ^(4))-(6 ^(2))/(5 ^(5)) + .....` is:

The sum of the infinite series, 1 ^(2) -(2^(2))/(5) + (3 ^(2))/(5 ^(2))+ (4^(2))/(5 ^(3))+ (5 ^(2))/(5 ^(4))-(6 ^(2))/(5 ^(5)) + ..... is:

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. 3/(1^(2).2^(2))+5/(2^(2).3^(2))+7/(3^(2).4^(2))+...

The sum of the infinite series ((1)/(3))^(2)+(1)/(3)((1)/(3))^(4)+(1)/(5)((1)/(3))^(6)+...... is

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

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