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:

If the sum of the first 15 terms of the series ((3)/(4))^(3)+(1(1)/(2))^(3)+(2(1)/(4))^(3)+3^(3)+(3(3)/(4))^(3)+... is equal to 225k, then k is equal to

If the sum of the first ten terms of the series (1(3)/(5))^(2)+(2(2)/(5))^(2)+(3(1)/(5))^(2)+4^(2)+(4(4)/(5))^(2)+.. is (16)/(5)m, then m is equal to: (1)102(2)101(3)100(4)99

If the surm of the first ten terms of the series,(1(3)/(5))^(2)+(2(2)/(5))^(2)+(3(1)/(5))^(2)+4^(2)+(4(4)/(5))^(2)+ is (16)/(5)m, then m is equal to

Sum to n terms of the series 1^(3) - (1.5)^(3) +2^(3)-(2.5)^(3) +…. is

The sum of the first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)+(1^(3)+2^(3)+3^(3))/(1+3+5)...... is :

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

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 :