olymmath

Putnam 1952 A5

  • Session A
  1. Let aj(j=1,2,…,n)a_{j}(j=1,2, \ldots, n) be entirely arbitrary numbers except that no one is equal to unity. Prove a1+∑i=2nai∏j=1i−1(1−aj)=1−∏j=1n(1−aj) (page 350)\left.a_{1}+\sum_{i=2}^{n} a_{i} \prod_{j=1}^{i-1}\left(1-a_{j}\right)=1-\prod_{j=1}^{n}\left(1-a_{j}\right) \text { (page } 350\right)

Dataset text PutnamGAP. Quoted with source.

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