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.
Math
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.