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.

No comments:

Post a Comment

Why is the fact that the Americans are helping the Russians important?

In the late author Tom Clancy’s first novel, The Hunt for Red October, the assistance rendered to the Russians by the United States is impor...