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Algebra 1HardTelescoping & Recursion

Telescoping & Recursion · Hard problem

Evaluate (1−12)(1−13)(1−14)⋯(1−150)\left(1 - \tfrac12\right)\left(1 - \tfrac13\right)\left(1 - \tfrac14\right)\cdots\left(1 - \tfrac{1}{50}\right) as a common fraction.