Friday, January 20, 2017

a_n = 4-1/n Determine whether the sequence with the given n'th term is monotonic and whether it is bounded.

A sequence is monotone if it is increasing for all n , or decreasing for all n.
We are given:a_n=4-1/n
a_(n+1)=4-1/(n+1)
a_n|a_n|<4
So the sequence is monotonic and bounded.

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