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If the sum of $n$ terms of an $A.P.$ is $3n^2+5n$ and its $m^{th}$ term is $164$, find the value of $m$.

$\begin{array}{1 1}25 \\ 26 \\ 27 \\ 28 \end{array} $

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  • $S_n=\large\frac{n}{2}$$[2a+(n-1)d]$
  • In any series $S_n-S_{n-1}=t_n$
Given: sum of $n$ terms $S_n=3n^2+5n$
We know that in any series $S_n-S_{n-1}=t_n$
Also given that $m^{th}\:term=164$
answered Feb 23, 2014 by rvidyagovindarajan_1

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