# JEE Main & Advanced Mathematics Arithmetic Progressions General Term of an A.P.

## General Term of an A.P.

Category : JEE Main & Advanced

(1) Let $'a'$ be the first term and $'d'$ be the common difference of an A.P. Then its ${{n}^{th}}$ term is $a+(n-1)d$i.e., ${{T}_{n}}=a+(n-1)d$.

(2) ${{p}^{th}}$ term of an A.P. from the end : Let $'a'$ be the first term and $'d'$ be the common difference of an A.P. having $n$ terms. Then  ${{p}^{th}}$ term from the end is ${{(n-p+1)}^{th}}$ term from the beginning

i.e., ${{p}^{th}}\text{ term from the end }=\text{ }{{T}_{(n-p+1)}}=a+(n-p)d$.

• If last term of an A.P. is l then ${{p}^{th}}$term from end$=l-(p-1)d$

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