7) Prove that $2n-3 \leq 2^{n-2}$ for all $n \geq 5$ by mathematical induction
139269
Prove that $2n-3\leq 2^{n-2}$ , for all $n \geq 5$ by mathematical induction
112907
Math Induction Proof: $(1+\frac1n)^n < n$
121107
Proof by induction: $n^{n+1} > (n + 1)^n$, $(1 + x)^n \ge 1 + nx$, other inequalities
108698
proof using the mathematical induction
88144
Induction Proof $n! < n^n$
62100
Show that $n^3-n$ is divisible by $6$ using induction
66358
Prove by mathematical induction that $2n ≤ 2^n$, for all integer $n≥1$?
33757
For what natural numbers is $n^3 < 2^n$? Prove by induction
140841
Induction proof of lower bound for $\sum \sqrt n$
85731
Prove by induction that $n! > n^2$
17491
Proof by Induction: Solving $1+3+5+\cdots+(2n-1)$
116518
Proof by induction: $n$th Fibonacci number is at most $ 2^n$
71451
A proof by strong induction that $a_n\le3^n$ where $a_n=a_{n-1}+a_{n-2}+a_{n-3}$
91197
Proving $n! \ge 2^{n-1 }$for all $n\ge1 $by mathematical Induction
119436
Proving $2^n\leq 2^{n+1}-2^{n-1}-1$ for all $n\geq 1$ by induction
82774
Prove by mathematical induction that $n^3 - n$ is divisible by $3$ for all natural number $n$
152577
Proving $4^n > n^4$ holds for $n\geq 5$ via induction.