Question

find the common ratio of GP
$find \: the \: common \: ratio \: of \: gp \: ( \sqrt{3)( \sqrt{6})( \sqrt{9)( \sqrt{12)}$
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Answer 1

Answer:

No common ratio. Series is not in G. P.

Explanation :

Common ratio = $\mathsf{\dfrac{\sqrt{6}}{\sqrt{3}}}$ = $\mathsf{\sqrt{2}}$

Again for 3rd and 2nd terms,

Common ratio = $\mathsf{\dfrac{\sqrt{9}}{\sqrt{6}}}$ = $\mathsf{\dfrac{3}{\sqrt{6}}}$

For 4th and 3rd term,

Common Ratio = $\mathsf{\dfrac{\sqrt{12}}{\sqrt{9}}}$ = $\mathsf{\dfrac{2{\sqrt{3}}}{3}}$

Hence, Common ratio is not same. Therefore, the given series is not in G.P.

So, there will be no common ratio.