# JEE Main & Advanced Mathematics Arithmetic Progressions Sum of n terms of an A.P.

## Sum of n terms of an A.P.

Category : JEE Main & Advanced

The sum of n terms of the series

$a+(a+d)+(a+2d)+.......+\{a+(n-1)\,d\}$ is given by

${{S}_{n}}=\frac{n}{2}[2a+(n-1)\,d]$

Also, ${{S}_{n}}=\frac{n}{2}(a+l)$, where $l=$ last term $=a+(n-1)d$.

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