# Math

Find the sum of an A.P of seventeen terms whose middle term is five .

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1. of 17 terms, the middle term is term 9
so
a + 8d = 5 -----> a = 5-8d

sum(17) = (17/2)(2a + 16d)
= (17/2)(10-16d + 16d)
= (17/2)(10)
= 85

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2. Find the sum of an a.p of seventeen terms whose middle terms is 5

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3. Find the sum of 17 term of AP whose middle term is 40

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