# Find 25th term of the arithmetic series 9, 15, 21, …

Find 25th term of the arithmetic series 9, 15, 21, …
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Kimberly Evans
Let $\left({x}_{n}\right)=\left(9,15,21,27,.......\right)$ be the arithmetic sequence.
The common difference is $d={x}_{n+1}-{x}_{n}=6$
The first term is a=9.
The general term is given by ${x}_{n}=a+\left(n-1\right)d$
$\therefore {x}_{25}=9+\left(24-1\right)\cdot 6$
$=147$