Suppose I want to show that a(adsbygoogle = window.adsbygoogle || []).push({}); _{n+1}< a_{n}one could find the derivative of the sequence and then show that it is negative for a certain domain of values for x. However is it also possible to conclusively prove that a_{n+1}< a_{n}simply by subbing in n+1 and n and show that the inequality leads to a logical conclusion?

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# Method of proof

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