Find the sum of the following arithmetic progressions: `(x-y)/(x+y)\ ,(3x-2y)/(x+y),(5x-3y)/(x+y),\ dot` to `n` terms (ii) `-26 ,\ -24 ,\ -22 ,\ ` to 36 terms.

Find the sum of the following arithmetic progression: (x-y)/(x+y),(3x-2y)/(x+y),(5x-3y)/(x+y),quad longrightarrow 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 each of the following products: (i) (4x + 5y) (4x - 5y) (ii) (3x^(2) + 2y^(2)) (3x^(2) - 2y^(2))

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

Find the sum of the indicated number of terms of each of the following geometric progressions: a. (i) sqrt(7),sqrt(21),3sqrt(7) ,…………..n terms. (ii) 2,-1/2,1/8 , …………….n terms 12 terms (iii) 1,1/3,1/9, ………………..,n terms 5 terms b. (i) x^(3),x^(5),x^(7) .......,n terms (x!= +-1) (ii) 1,-a,a^(2),-a^(3) ........, n terms (a!= -1) (iii) x^(2)-y^(2),x-y,(x-y)/(x+y) ................ , n terms (x+y!=1) .

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

x(x+y)+x^(2)(x^(2)+y^(2))+x^(3)(x^(3)+y^(3))+ to n terms

Evaluate: (2x+3y)^(2)( ii) (2x-3y)^(2)(2x+3y)2x-3y)