If sum of n terms of an A.P. is 3 $n^{2}$ +5n and $T_{m}$ = 164, m=?

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Solution

$T_{m}$ = $S_{m}$ - $S_{m - 1}$

∴ 164 = 3 (2m-1) + 5.1 ∴ 6m = 162

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If the sum of n terms of an A.P. is 3 $n^{2}$ +5n and $T_{m}$ = 164, m=?

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