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

In a finite G.P the product of the terms equidistant from the beginning and the end is always same and is equal to the product of first and last term i.e., $G_{1} . G_{2} = x y .$

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If n geometric means between a and b be $G_{1}, G_{2}, . . . . G_{n}$ and a geometric mean of a and b be G, then the true relation is

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