Talk:Reciprocal Sequence is Strictly Decreasing

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I would be tempted to flip theorem and corollary since the theorem may also be proved from $\dfrac1n - \dfrac1{n+1} = \dfrac{(n+1)-n}{n(n+1)} = \dfrac1{n(n+1)} > 0$, of which the corollary certainly isn't a corollary. --Lord_Farin 11:08, 2 August 2012 (UTC)