Quick question about induction

1. The problem statement, all variables and given/known data

So my question i ...

2. Relevant equations

... when you're trying to prove some inequality, ....

3. The attempt at a solution

... for example, an < bn, can you do the inductive step by doing legal stuff to both sides of the inequality until you arrive at an+1 < bn+1?
 
My answer is....
what... is....
legal stuff ? XD ;-)

Do you have a specific example of what you mean ?
 
My answer is....
what... is....
legal stuff ? XD ;-)

Do you have a specific example of what you mean ?
I'm trying to prove that xn < xn+1, where x1 = √2 and xn+1 = √(2 + xn)
 

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