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If the sum of m terms of an A.P., is 3m^...

If the sum of `m` terms of an A.P., is `3m^2+5m` then which of its terms is 164?
a.`26 t h` b. `27 t h` c. `28 t h` d. none of these

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To solve the problem step by step, we need to determine which term of the arithmetic progression (A.P.) is equal to 164, given that the sum of the first `m` terms is `3m^2 + 5m`. ### Step 1: Understand the formula for the nth term The nth term of an A.P. can be calculated using the formula: \[ a_n = S_n - S_{n-1} \] where \( S_n \) is the sum of the first `n` terms, and \( S_{n-1} \) is the sum of the first `n-1` terms. ### Step 2: Write down the expression for \( S_n \) ...
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