# Math Help - Sequence question

1. ## Sequence question

Given the sequence (Un) defined by Un=(2n-3)/(n+3) for any natural number n
show that Un<2 for any natural number n , knowing that (Un) is strictly increasing

2. ## Re: Sequence question

It's pretty close to trivial isn't it? For what n is $\frac{2n- 3}{n+1}\le 2$ true? Just solve that inequality.