Question

In the G.P. if the $\left(m+n\right)th$ term is p and the $\left(m-n\right)th$ term is q then its mth terms is $-$.

• A. $o$
• B. $pq$
• C. $\sqrt{pq}$
• D. $\frac{1}{2}\left(p+q\right)$

Answer 1

The correct option is C $\sqrt{pq}$

$a{r}^{m+n-1}=p{ar}^{m-n-1}=q{a}^2{r}^{2m-2}=pq{ar}^{m-1}=T_m=m^{th}term=\sqrt{pq}$

Considering first term of G.P $=a$

and common ratio $=r$