2 Geometric Progressions

Algebra Level 2

\[ 1 + \frac{1}{r} + \frac{1}{r^2} + \frac{1}{r^3} + \frac{1}{r^4} + \cdots \\ { \LARGE =} \\ 1 - \frac{1}{s} + \frac{1}{s^2} - \frac{1}{s^3} + \frac{1}{s^4} + \cdots \\ \]

What is the relationship between \(r\) and \(s\)?

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