(x-y)^(2),(x^(2)+y^(2)),(x+y)^(2)...," to "n" terms "

Find the sum of the following arithmetic progressions: 41,36,31, to 12 terms ( ii) a+b,a-b,a-3b, to 22 terms (iii) (x-y)^(2),(x^(2)+y^(2)),(x+y)^(2),quad ; to n terms

Find the sum of following AP: (x-y)^2, (x^2+y^2),(x+y)^(2) , ........up to n terms

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

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

Find the sum of the following arithmetic progressions: (i) 41 ,\ 36 ,\ 31 ,\ dot to 12 terms (ii) a+b ,\ a-b ,\ a-3b ,\ to 22 terms (iii) (x-y)^2,\ (x^2+y^2),\ (x+y)^2,\ ddot, 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(x+y)+x^(2)(x^(2)+y^(2))+x^(3)(x^(3)+y^(3))+ to n terms

Find the sum to n terms of the sequence : (i) (x+1/x)^(2)+ (x^(2)+1/x^(2))^(2)+ (x^(3)+1/x^(3))^(2) ... to n terms (ii) (x+y)+ (x^(2)+xy+y^(2))+(x^(3)+x^(2)y+xy^(2)+y^(3)) , ... to n terms

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

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)] .