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+1)` for all n.

`|a_n|<4`

So the sequence is monotonic and 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+1)` for all n.

`|a_n|<4`

So the sequence is monotonic and bounded.