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If the Sum Of N Terms of an A.P. is 3n2 + 5n and Its Mth Term is 164, Find the Value Of M.

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Question

If the sum of n terms of an A.P. is 3n2 + 5n and its mth term is 164, find the value of m.

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Solution

Let a and b be the first term and the common difference of the A.P. respectively.

am = a + (m – 1)d = 164 … (1)

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