Question

In a G.P., if the ${(m+n)}^{th}$ term be p and ${(m-n)}^{th}$ term be q , then its $m^{th}$ term is

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

$T_{m+n}=a{r}^{m+n-1}=p$ ------(i)

$T_{m-n}=a{r}^{m-n-1}=q$ --------(ii)

Multiplying (i) and (ii), we get $a^2{r}^{2m-2}=pq$

∴ $T_m=a{r}^{m-1}=\sqrt{\left(pq\right)}$