Use division algorithm and then induction to show 3|(n³+2n) for all ℕ.
113119
Use the division algorithm to prove that 3|(n³ + 2n) for all n ∈ ℕ
71451
A proof by strong induction that $a_n\le3^n$ where $a_n=a_{n-1}+a_{n-2}+a_{n-3}$
122711
Prove by induction that $n^3 + 11n$ is divisible by $6$ for every positive integer $n$.
11867
Prove by induction that $n < 2^n$ for all $n \ge 1$
125220
Solving binomial theorem via induction
50534
Prove that if $n^2$ is divided by 3, then also $n$ can also be divided by 3.
56566
If ${n \choose 3} + {n+3-1 \choose 3} = (n)_3$, compute $n$.
138846
Prove by induction that $3\mid n^4-n^2$ for all $n \in \mathbb{Z^+}$, $n\ge2$.
134202
Proof by Induction - Math
62556
Prove $3|n(n+1)(n+2)$ by induction
106847
Proof that $n^3+2n$ is divisible by $3$
86479
How to Prove with Mathematical Induction $3^n > n^2$
39175
Prove by induction that $\forall n \in\mathbb N$, $3\mid4^{n}-1$.
123820
Guess the formula for $\sum\frac 1{(4n-3)(4n+1)}$ and prove by induction
90835
Use induction to prove that $2^n \gt n^3$ for every integer $n \ge 10$.
101899
Proof By Induction of a Sum
45914
Proving that $n!≤((n+1)/2)^n$ by induction