Question :
Let n>0 a natural number Use the following inequality 2n≥n+1 to prove that :
22n+1∣2xn−2 where :
xn=22n+1
My attempt :
I think use induction :
n=1 then xn=5 so 30∣5 correct
Now for n+1 we will prove that :
xn+1∣2xn+1−2.
I don't know how prove it using 2n≥n+1.
If any one know other method please drop here
Thanks!
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