Wednesday, 4 May 2016

number theory - Prove that : 22n+1mid2xn2 with n=1,2,3...

Question :



Let n>0 a natural number Use the following inequality 2nn+1 to prove that :



22n+12xn2 where :



xn=22n+1



My attempt :




I think use induction :



n=1 then xn=5 so 305 correct



Now for n+1 we will prove that :



xn+12xn+12.



I don't know how prove it using 2nn+1.




If any one know other method please drop here



Thanks!

No comments:

Post a Comment

real analysis - How to find limhrightarrow0fracsin(ha)h

How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...