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, 9/2, 6, 15/2, ... to 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+y3x-2yx+y5x-3yx+y, ... to n terms(viii) −26, −24, −22, ... to 36 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, 9/2, 6, 15/2, ... to 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+y3x-2yx+y5x-3yx+y, ... to n terms(viii) −26, −24, −22, ... to 36 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, 9/2, 6, 15/2, ... to 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) $\frac{x - y}{x + y} \frac{3 x - 2 y}{x + y} \frac{5 x - 3 y}{x + y}, . . .$ to n terms (viii) −26, −24, −22, ... to 36 terms.

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