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Selecting Consecutive Terms in GP

If x, G1, G2,...

Question

If x, $G_{1}, G_{2},$ y be the consecutive terms of a G.P., then the value of $G_{1} G_{2}$ will be

\frac{y}{x}

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\frac{x}{y}

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\sqrt{x y}

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Solution

The correct option is C xy
We know that the product of two terms of a G.P. equidistant from beginning and end is equal to product of first and last term i.e., $G_{1} . G_{2} = x y .$

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