Prove by induction $\forall n\in N, \sum_{k=1}^nk^3=(\sum_{k=1}^nk)^2$
16812
Proving $1^3+ 2^3 + \cdots + n^3 = \left(\frac{n(n+1)}{2}\right)^2$ using induction
36639
Prove by induction that $\sum_{r=0}^{n}\begin{pmatrix}n \\ r \end{pmatrix}=2^k$
115459
Proving this $F_{n+1} \cdot F_{n-1} - F^2_n = (-1)^n$ by induction
16347
Induction: $\sum_{k=0}^n \binom nk k^2 = n(1+n)2^{n-2}$
123820
Guess the formula for $\sum\frac 1{(4n-3)(4n+1)}$ and prove by induction
61117
Prove by induction: $n! \ge 2^{(n-1)}$ for any $n \ge 1$
13291
Proving $\sum_{k=1}^n\frac1{\sqrt k}<2\sqrt n$ by induction
62177
Prove that: $2^n < n!$ Using Induction
8609
Prove by induction that $n!>2^n$
54595
Prove $\sum\limits_{i=2}^{n}\frac{1}{(i-1)i}$ = $\frac{(n-1)}{n}$ using induction.
17491
Proof by Induction: Solving $1+3+5+\cdots+(2n-1)$
92704
Prove that $\sum_{k=1}^{n}k\binom{n}{k}=n\cdot2^{n-1}$
4991
Proving by induction that $ \sum_{k=0}^n{n \choose k} = 2^n$
134202
Proof by Induction - Math
72026
Induction proof of $\sum_{k=1}^{n} \binom n k = 2^n -1 $
40692
Proving by strong induction that $\forall n \ge 2, \;\forall d \ge 2 : d \mid n(n+1)(n+2)...(n+d-1) $
70625
Prove By Induction $1 + 1/2 + 1/3 + ... + 1/(2^n) ≥ 1 + n/2$