📘 algebra, combinatorics, probability, set theory
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Series Matrix Maps Probability Relation Cf2Ff8
1. **Problem statement:** Find the sum of the series \((\frac{1}{2} - \frac{1}{3}) + (\frac{1}{2^2} - \frac{1}{3} + \frac{1}{3^2}) + (\frac{1}{2^3} - \frac{1}{2^2} + \frac{1}{3^2}