(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find a sequence (an) of positive real numbers such the sum of an from 1 to infinity is convergent but the number of k such that a(k+1)>ak divided by n tends to 1 as n tends to infinity.

2. Relevant equations

3. The attempt at a solution

I don't have a clue how to find a sequence here. Could anyone please give a hint? Any help is appreciated!

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# Homework Help: Convergent series

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