Mathematics

Problem

A geometric progression is said to be non-constant if at least two of its consecutive terms are unequal. Prove the following statement: a. (i) If a non-constant geometric progression with first term

a\,(\neq 0)

could be expressed using two different common ratios

r_{1}

and

r_{2}

, then

r_{1}=r_{2}

. Hence, the common ratio of any non-constant geometric progression is unique.

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