" Prove that "2^(*)>n" for all positive integers "n" ."

Prove that 2^n > n for all positive integers n.

Prove that 2^(n) gt n for all positive integers n.

Prove that 2^(n) gt n for all positive integers n.

Prove that 2^(n) gt n for all positive integers n.

Prove that quad 2^(n)>n for all positive integers n.

Prove that 2^n gt n for all positive integers n.

Prove that 2^n gt n for all positive integtrs n.

If A=[1101], prove that A^(n)=[1n01] for all positive integers n.

Given that u_(n+1)=3u_n-2u_(n-1), and u_0=2 ,u_(1)=3 , then prove that u_n=2^(n)+1 for all positive integer of n

Given that u_(n+1)=3u_n-2u_(n-1), and u_0=2 ,u_(1)=3 , then prove that u_n=2^(n)+1 for all positive integer of n