`(x+y) + (x^2+xy+y^2)+(x^3+x^2y+y^2x+y^3)+........+n` terms =

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

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

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

If S_(n)=(x+y)+(x^(2)+xy+y^(2))+(x^(3)+x^(2)y+y^(2)x+y^(3))+…n terms then prove that (x-y)S_(n)=[(x^(2)(x^(n)-1))/(x-1)-(y^(2)y^(n)-1)/(y-1)] .

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

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

x^(3)+x^(2)y+xy^(2)+y^(3)

Sum the series: x(x+y)+x^(2)(x^(2)+y^(2))+x^(3)(x^(3)+y^(3)).... to n terms

x^(3) + x^(2)y+ xy^(2) + y^(3) = 81

Sum the series : x(x+y)+x^(2)(x^(2)+y^(2))+x^(3)(x^(3)+y^(3)+... to n terms.