- Home
- Standard 11
- Mathematics
8. Sequences and Series
easy
If the third term of a $G.P.$ is $4$ then the product of its first $5$ terms is
A
${4^3}$
B
${4^4}$
C
${4^5}$
D
None of these
(IIT-1982)
Solution
(c) Given that $a{r^2} = 4$
Then product of first $5$ terms
$ = a(ar)(a{r^2})(a{r^3})(a{r^4}) = {a^5}{r^{10}} = {[a{r^2}]^5} = {4^5}$.
Standard 11
Mathematics