- #1

rama

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## Homework Statement

x,y,z are three terms in GP and a,b,c are three terms in AP

prove that (x

^{b}÷x

^{c})(y

^{c}÷y

^{a})(z

^{a}÷z

^{b})=1

## Homework Equations

## The Attempt at a Solution

(x

^{b-c})(y

^{c-a})(z

^{a-b})

since x y z are in GP

x

^{b-c}÷y

^{c-a}=y

^{c-a}÷z

^{a-b}

(x

^{b- c})(z

^{a-b})=y

^{c-a}(y

^{c-a})

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