Proving a sequence by induction
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Proof by induction that $a_0 = 1, a_1 = 1, a_n=2a_{n-1} + 3a_{n-2}$ satisfies $a_n = \frac12 (3^n) + \frac12 (-1)^n$
108596
Proof by induction for "sum-of"
129860
Find a formula for this sequence (and prove it).
65391
Prove by induction. $n \in \mathbb N$.
45460
Proof verification of a number theory problem involving sequences.
33526
How to prove this beautiful statement on linear forms using induction?
91896
Induction (Geometric sequence)
96332
Prove by induction that $\sqrt[n+1]{n+1}<\sqrt[n]{n}$ for $n\ge 3$
138857
Proving an inequality by induction, how to figure out intermediate inductive steps?
119436
Proving $2^n\leq 2^{n+1}-2^{n-1}-1$ for all $n\geq 1$ by induction
76696
Using induction to prove $2^{n-1}(1 + a_1a_2\ldots a_n) \geq (1+a_1)(1+a_2)\ldots(1+a_n)$ for $a_i \geq 1$
85731
Prove by induction that $n! > n^2$
120093
Proof of inequality $2(\sqrt{n+1}-\sqrt{n}) < \frac{1}{\sqrt{n}} < 2(\sqrt{n} - \sqrt{n-1})$ using induction
71639
Proof $(1+1/n)^n$ is an increasing sequence
25496
Avoiding proof by induction
71650
Proving by strong induction for a sequence of integers, $2^n$ divides term $n$
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Induction: prove using congruences