# JEE Main & Advanced Mathematics Other Series General Term of an H.P.

## General Term of an H.P.

Category : JEE Main & Advanced

If the H.P. be as $\frac{1}{a},\,\frac{1}{a+d},\,\frac{1}{a+2d},\,....$ then corresponding A.P. is $a,\,a+d,\,a+2d,\,.....$

${{T}_{n}}$ of A.P. is $a+(n-1)\,d$

$\therefore$ ${{T}_{n}}$ of H.P. is $\frac{1}{a+(n-1)\,d}$

In order to solve the question on H.P., we should form the corresponding A.P. Thus, General term :

${{T}_{n}}=\frac{1}{a+(n-1)\,d}$ or ${{T}_{n}}\text{ of H}\text{.P}\text{.}=\frac{1}{{{T}_{n}}\text{ of A}\text{.P}\text{.}}$.

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