- #1

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## Homework Statement

Let {a_n} be a sequence | (a_n+1)^2 < (a_n)^2, 0 < (a_n+1) + (a_n). Show that the sequence is convergent

## Homework Equations

n/a

## The Attempt at a Solution

So I am feeling like monotone convergence theorem is the way to go there. It seems to me that (a_n+1)^2 < (a_n)^2 would imply the sequence is decreasing, but I do not know what to do with 0 < (a_n+1) + (a_n) to show it is bounded.