# Math Help - Abstract Math proof

1. ## Abstract Math proof

If a_n <= a_(n+1) for all n, show a_i <= a_n for all n

2. Originally Posted by natester
If a_n <= a_(n+1) for all n, show a_i <= a_n for all n
As written, the statement is not true.
Is $a_{10} \le a_n$ for $\forall n$?
Well of course not!
So there must be more to the statement of this problem than you have told us.

3. sorry I input the wrong thing. Instead of show a_i <= a_n for all n, it should be show a_1 <= a_n for all n. I also need to use induction to solve for it.

4. Originally Posted by natester
sorry I input the wrong thing. Instead of show a_i <= a_n for all n, it should be show a_1 <= a_n for all n. I also need to use induction to solve for it.
Actually it occurred to me that you might have meant that.
But because it makes it such a trivial question, I though ‘surely not’.

5. Yes that made it a lot easier. But thank you anyways