Find the sum of `n` terms of the sequence `(x+1/x)^2,(x^2+1/(x^2))^2,(x^3+1/(x^3))^2, `

Find the sum to n terms of the sequence (x+1//x)^2,(x^2+1//x)^2,(x^3+1//x)^2, ,

Find the sum to n terms of the sequence (x+1//x)^2,(x^2+1//x)^2,(x^3+1//x)^2, ,

Find the sum of n terms of the series (x+y)+(x^(2)+2y)+(x^(3)+3y)+...

Find the sum of 20 terms of the series (x+(1)/(2))+(3x-(1)/(6))+(5x+(1)/(18))+....

Find the nth term of the series 1+2^(2)x+3^(2)x^(2)+4^(2)x^(3)+....

The sum of n terms of the series (1)/(1 + x) + (2)/(1 + x^(2)) + (4)/(1 + x^(4)) + ……… is

Find the number of terms in the expansion of (1-2x+x^(2))^(n) .

Find the sum of each of the following series :(i) tan^-1(1/(x^2+x+1))+tan^-1 (1/(x^2+3x+3))+tan^-1(1/(x^2+5X+7))+tan^-1(1/x^2+7x+13)) ......upto n.

Find the sum of each of the following series :(i) tan^-1(1/(x^2+x+1))+tan^-1 (1/(x^2+3x+3))+tan^-1(1/(x^2+5X+7))+tan^-1(1/x^2+7x+13)) ......upto n.

The sum of the series (x-1)/(x+1)+1/2(x^(2)-1)/(x+1)^(2)+1/3(x^(3)-1)/(x+1)^(3) +…is equal to