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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.



Answer -

Let’s consider a and b tobe the first term and the common difference of the A.P. respectively.

am = a + (m –1)d = 164 … (1)

We the sum of theterms is given by,

Sn =n/2 [2a + (n-1)d]

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