Question

If the third term of a $GP$ is $p$ . Then the product of the first $5$ terms of the $GP$ is:

• A. $p^3$
• B. $p^2$
• C. $p^{10}$
• D. $p^5$

Answer 1

Answer: (D)

Let the first term and common ratio of a $GP$ series be $a$ and $r$ respectively.
According to the given condition $a{r}^2=p$ ... (i)
$\therefore$ $a\cdot ar\cdot a{r}^2\cdot a{r}^3\cdot a{r}^4=(a{r}^2{)}^5=p^5$ [from (i)]