`1^3-2^3+3^3-4^3+........+9^3` is equal to

2/3 : 4/9 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 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 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 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

The value of 1.1!+2.2!+3.3!+.......+9+ terms is equal to

The sum of series 1/(1-3.1^2+1^4)+2/(1-3.3^2+2^4)+3/(1-3.3^2+3^4)+......... up to 10 terms, is equal to

(4/9)^2xx((-3)/2)^3 is equal to

"tan"^(-1)((1)/(3))+ "tan"^(-1)((2)/(9)) + tan^(-1)((4)/(3^(3))) + ....oo is equal to