Question

Asked Mar 28, 2019

What about the sequence a_{n }=16 + (10n^{2}+1)/e^{n }for all n. Is it monotone? Does it converge? If so, to what?

Step 1

Given a sequence witn nth term is shown below

A function is said to be monotonic if it is entirely non increasing or entirely non decreasing. To see if a fucntion is monotonic we find its derivative.

Step 2

derivaiton of nth term with respect to n we get as shown below

Here we can see that derivative of an is not monotonic since it is quadratic equation which is positive at s...

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