# In an A.P. $2+5+8+11+... $, if last term is $95$, then find the number of terms of the series.

**Given:** In an A.P. $2+5+8+11+... $, if last term is $95$.

**To do:** To find the number of terms of the series.

**Solution:**

Here,

First term $a=2$, Common difference $d=3$, Last term $l=95$

As known, $l=a+(n−1)d$

$\Rightarrow 2+(n−1)\times3=95$

$\Rightarrow n=32$

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