If a, b, c are in G.P.,then | vedclass

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(A) Given that $a, b, c$ are in $G.P.$Therefore,the common ratio $r$ is defined as $\frac{b}{a} = \frac{c}{b} = r$.Squaring both sides of the ratio,we

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$a^2, b^2, c^2$ are in $G.P.$

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(A) Given that $a, b, c$ are in $G.P.$Therefore,the common ratio $r$ is defined as $\frac{b}{a} = \frac{c}{b} = r$.Squaring both sides of the ratio,we get $\left(\frac{b}{a}\right)^2 = \left(\frac{c}{b}\right)^2 = r^2$.This simplifies to $\frac{b^2}{a^2} = \frac{c^2}{b^2} = r^2$.Since the ratio of consecutive terms $\frac{b^2}{a^2}$ and $\frac{c^2}{b^2}$ is constant $(r^2)$,the sequence $a^2, b^2, c^2$ is also in $G.P.$

If $a, b, c$ are in $G.P.$,then

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