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Putnam 1958 November A2

Source: Putnam 1958 November

July 19, 2022
PutnamSequences

Problem Statement

Let R1=1R_1 =1 and R_{n+1}= 1+ n\slash R_n for n≥1.n\geq 1. Show that for n≥1,n\geq 1, n≤Rn≤n+1. \sqrt{n} \leq R_n \leq \sqrt{n} +1.
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