Question

The third term of a GP is $3$. What is the product of the first five terms?

• A. $216$
• B. $226$
• C. $243$
• D. Cannot be determined due to insufficient data

Answer 1

The correct option is C $243$

Third term of $G.P.=a{r}^2=3$

General term $=a{r}^{n-1}$

Product of first five terms $=a^5\cdot r^{0+1+2+3+4}$

$=a^5{r}^{10}=(a{r}^2{)}^5$

$=(3{)}^5$

$=243$.