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Sum of N Terms of an AP

Question 1 ii...

Question

Question 1 (ii)
Find the sum of the following APs
(ii) − 37, − 33, − 29 ,…, to 12 terms

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Solution

(ii) $- 37, - 33, - 29, \dots \dots, t o 12 t e r m s F o r t h i s A . P ., a = - 37 d = a_{2} - a_{1} = (- 33) - (- 37) = - 33 + 37 = 4 n = 12 W e k n o w t h a t, S_{n} = \frac{n}{2} [2 a + (n - 1) d] S_{12} = \frac{12}{2} [2 (- 37) + (12 - 1) \times 4] = 6 [- 74 + 11 \times 4] = 6 [- 74 + 44] = 6 (- 30) = - 180$

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193

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