Question

A sequence is monotonically increasing iff

Answer 1

\[a _{n} \le a _{n+1} \forall n\] right?

Answer 2

Yup

Answer 3

yeah. If it's just <, then it's strictly monotonically increasing

Answer 4

Okay so is this monotonically increasing?
1, 1, 1, 1, 1, ...

Answer 5

and monotonically decreasing?

Answer 6

Yes, but not strictly monotonically increasing.

Answer 7

So any sequence which has the same numbers is both monotonically increasing and decreasing?

Answer 8

I believe so.

Answer 9

Okay!