# Two methods to prove the sequence is monotonic?

Given a sequence say,

$a_n = k^n$

or

$a_{n+1} = (2+a_n)^{1/2}$

Should I use M.I. to prove it or can I just do '$a_{n+1} - a_n$' ?

• Is it if it is a recurrence relation, we use MI. May 6 '13 at 11:23
• If it is a sequence doesn't recurse, we can just subtract one by another? May 6 '13 at 11:25