Question

Find the ${19}^{th}$ term of the G.P, whose ${14}^{th}$ and ${24}^{th}$ terms are 9 and 16

• A. 11
• B. 13
• C. 12
• D. 16

Answer 1

The correct option is C

12

$a{r}^{13}=9a{r}^{23}=16\left(a^2{r}^{36}\right)=144a{r}^{18}=12$