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

Let a_{n}be monotone sequences. Prove or give a counterexample:

The sequence c_{n}given by c_{n}=k*a_{n}is monotone for any Real number k.

The sequence (c_{n}) given by c_{n}=(a_{n}/b_{n}) is monotone.

2. Relevant equations

3. The attempt at a solution

On the first one, I don't think the change of sign on k can change the "monotoneness" of the sequence other than by changing decreasing to increasing and vice versa.

I have played around using different sequences to see if this is true and it is looking like it is, but I just feel that it could be false.

Any ideas?

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# Homework Help: Rules for monotone sequences?

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