Home
Class 11
MATHS
Prove, by induction, that 3^n >n for all...

Prove, by induction, that `3^n >n` for all `n in N`.

Promotional Banner

Similar Questions

Explore conceptually related problems

Prove by induction that : 2^(n) gt n for all n in N .

Prove by induction that : 2^(n) gt n for all n in N .

By method of induction, prove that 2^n > n , for all n in N .

Prove, by Mathematical Induction, that for all n in N, n(n + 1) (n + 2) (n + 3) is a multiple of 24.

Prove, by Mathematical Induction, that for all n in N, 2.7^n+3.5^n-5 is divisible by 24 .

Prove by Induction, that (2n+7)le (n+3)^2 for all n in N. Using this, prove by induction that : (n+3)^2 le 2^(n+3) for all n in N.

By Principle of Mathematical Induction, prove that : 2^n >n for all n in N.

Prove by induction that for all n in N, n^(2) + n is an even integer (n ge 1) .

Prove by the principal of mathematica induction that 3^(n) gt 2^(n) , for all n in N .

Prove by the principle of mathematical induction that 2^ n >n for all n∈N.