Find the sum of the following arithmetic progressions: (i) 50, 46, 42, ...... to 10 terms (ii) 1, 3, 5, 7, ..... to 12 terms (iii) 3,92,6,152,……25 terms (iv) 41, 36, 31, ..... to 12 terms (v) a + b, a - b, a - 3b, ... to 22 terms (vi) (x−y)2,(x2+y2),(x+y)2,……to n terms (vii) x−yx+y,3x−2yx+y,5x−3yx+y,……to n terms

Find the sum of the following arithmetic progressions: (i) 50, 46, 42,

1.	Find the sum of the following arithmetic progressions: (i) 50, 46, 42, ...... to 10 terms (ii) 1, 3, 5, 7, ..... to 12 terms (iii) 3,92,6,152,……25 terms (iv) 41, 36, 31, ..... to 12 terms (v) a + b, a - b, a - 3b, ... to 22 terms (vi) (x−y)2,(x2+y2),(x+y)2,……to n terms (vii) x−yx+y,3x−2yx+y,5x−3yx+y,……to n terms
Answer» Find the sum of the following arithmetic progressions: (i) 50, 46, 42, ...... to 10 terms (ii) 1, 3, 5, 7, ..... to 12 terms (iii) $3, \frac{9}{2}, 6, \frac{15}{2}, \dots \dots 25 t e r m s$ (iv) 41, 36, 31, ..... to 12 terms (v) a + b, a - b, a - 3b, ... to 22 terms (vi) $(x - y)^{2}, (x^{2} + y^{2}), (x + y)^{2}, \dots \dots to n terms$ (vii) $\frac{x - y}{x + y}, \frac{3 x - 2 y}{x + y}, \frac{5 x - 3 y}{x + y}, \dots \dots to n terms$