Question

If the third term of a G.P. is $6$, then the product of the first five terms of this G.P. is

• A. $6667$
• B. $6665$
• C. $7760$
• D. $7776$

Answer 1

Answer: (D)

$7776$

Lets assume the first five terms of a G.P. be $\frac{a}{r^2},\frac{a}{r},a,ar,a{r}^2$
The product of these five terms of the above G.P. $=a^5$
Now the third term of a G.P. is given as $6$
$\therefore a=6$
Now, product $=a^5=6^5=7776$
Hence, option D is the correct answer