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  4. If the third term of a G.P. is 3, then the product of its first 5 terms is

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Q. If the third term of a $G.P.$ is $3$, then the product of its first $5$ terms is

J & K CETJ & K CET 2009Sequences and Series

Solution:

Given third term of GP is, $ a=3. $
Product of first 5 terms
$ =a{{r}^{2}}\times ar\times a\times \frac{a}{r}\times \frac{a}{{{r}^{2}}} $
$ ={{a}^{5}} $
$ ={{(3)}^{5}} $
$ =243 $