Find the sum of the following arithmetic progressions :\(\frac{x-y}{x+

1.	Find the sum of the following arithmetic progressions :\(\frac{x-y}{x+y}\),\(\frac{3x-2y}{x+y}\),\(\frac{5x-3y}{x+y}\),… to n terms
Answer» x-y/x+y,3x-2y/x+y,5x-3y/x+y For the given AP the first term a is (x - y)² and common difference d is a difference of the second term and first term, Which is \(\frac{3x-2y}{x+y}\) - \(\frac{x-y}{x+y}\) = \(\frac{2x-y}{x+y}\) To find : the sum of given AP The formula for sum of AP is given by, s = \(\frac{n}{2}\)(2a+(n-1)d) Substituting the values in the above formula, s = \(\frac{n}{2}\)(\(2\frac{x-y}{x+y}\)+(n-1)\((\frac{2x-y}{x-y})\))

Find the sum of the following arithmetic progressions :\(\frac{x-y}{x+y}\),\(\frac{3x-2y}{x+y}\),\(\frac{5x-3y}{x+y}\),… to n terms

Answer»

x-y/x+y,3x-2y/x+y,5x-3y/x+y

For the given AP the first term a is (x - y)² and common difference d is a difference of the second term and first term,

Which is \(\frac{3x-2y}{x+y}\) - \(\frac{x-y}{x+y}\) = \(\frac{2x-y}{x+y}\)

To find : the sum of given AP

The formula for sum of AP is given by,

s = \(\frac{n}{2}\)(2a+(n-1)d)

Substituting the values in the above formula,

s = \(\frac{n}{2}\)(\(2\frac{x-y}{x+y}\)+(n-1)\((\frac{2x-y}{x-y})\))