(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[tex]2^n>n , n\geq 1[/tex]

2. Relevant equations

3. The attempt at a solution

[tex]n=1[/tex]

[tex]2^1>1[/tex]

[tex]2>1[/tex]

[tex]n=k[/tex]

[tex]2^k>k[/tex]

[tex]n=k+1[/tex]

[tex]2^k^+^1=2^k*2>2k=k+k>k+1[/tex]

[tex]2^k^+^1>k+1[/tex]

Ok, I don't understand the part k+k>k+1

If I get k=1 (from the [tex]k\geq 1[/tex])

1+1>1+1

2>2 which is not actually correct. Any help?

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# Mathematical induction

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