Question

proof $2a>b+c$ through induction

score 99 · Answer 1 · 2026-04-11 19:07:00

99

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proof $2a>b+c$ through induction

Published on 11 Apr 2026 - 19:07

score 945 · Answer 2 · 2026-04-17 15:29:32

945

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How do I prove that $3$ divides $14^{2n}-1$ by induction?

Published on 17 Apr 2026 - 15:29

score 871 · Answer 3 · 2026-04-15 05:36:09

871

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Prove using mathematical induction: for $n \ge 1, 5^{2n} - 4^{2n}$ is divisible by $9$

Published on 15 Apr 2026 - 5:36

score 61 · Answer 4 · 2026-04-17 12:23:42

61

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Induction with Binomial Coefficients

Published on 17 Apr 2026 - 12:23

score 159 · Answer 5 · 2026-04-17 12:58:02

159

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$a_2^{2} + a_3^{3} + ... + a_n^{n} = a_{n+1}^{n+1}$

Published on 17 Apr 2026 - 12:58

score 1.7k · Answer 6 · 2026-04-14 21:12:57

1.7k

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Mathematical Induction: $3^n +1$ is even for all values of positive integers

Published on 14 Apr 2026 - 21:12

score 2.2k · Answer 7 · 2026-04-14 12:53:20

2.2k

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Strong Induction: parity of sum of odd numbers

Published on 14 Apr 2026 - 12:53

score 5.9k · Answer 8 · 2026-04-14 12:07:08

5.9k

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To prove that a mathematical statement is false is it enough to find a counterexample?

Published on 14 Apr 2026 - 12:07

score 69 · Answer 9 · 2026-04-17 09:12:04

69

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Use induction to prove $|a_{1} + a_{2} + \dots + a_{n} | \leq |a_{1}| + |a_{2}| + \dots + |a_{n}|$.

Published on 17 Apr 2026 - 9:12

score 201 · Answer 10 · 2026-04-16 00:29:04

201

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Prove by induction that $4\sum_{k=-1}^{n}(5)^k = 5^{n+1}-\frac{1}{5}, \forall n \in \mathbb{N}$

Published on 16 Apr 2026 - 0:29

score 47 · Answer 11 · 2026-04-14 07:58:50

47

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Verify that the following sequence defined recursively admits as closed formula another sequence

Published on 14 Apr 2026 - 7:58

score 8.5k · Answer 12 · 2026-04-15 22:44:28

8.5k

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Proving $3^n>n^2$ by induction

Published on 15 Apr 2026 - 22:44

score 453 · Answer 13 · 2026-03-25 17:37:45

453

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How to prove the Church-Rosser theorem for combinatory logic

Published on 25 Mar 2026 - 17:37

score 415 · Answer 14 · 2026-04-16 03:26:18

415

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Fibonacci numbers is defined by the recurrence relation $F_{n+2} = F_{n+1} + F_n$, prove by induction

Published on 16 Apr 2026 - 3:26

score 93 · Answer 15 · 2026-04-12 12:30:04

93

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Induction on $2^n > n^2 - 7$.

Published on 12 Apr 2026 - 12:30

List Question

proof $2a>b+c$ through induction

How do I prove that $3$ divides $14^{2n}-1$ by induction?

Prove using mathematical induction: for $n \ge 1, 5^{2n} - 4^{2n}$ is divisible by $9$

Induction with Binomial Coefficients

$a_2^{2} + a_3^{3} + ... + a_n^{n} = a_{n+1}^{n+1}$

Mathematical Induction: $3^n +1$ is even for all values of positive integers

Strong Induction: parity of sum of odd numbers

To prove that a mathematical statement is false is it enough to find a counterexample?

Use induction to prove $|a_{1} + a_{2} + \dots + a_{n} | \leq |a_{1}| + |a_{2}| + \dots + |a_{n}|$.

Prove by induction that $4\sum_{k=-1}^{n}(5)^k = 5^{n+1}-\frac{1}{5}, \forall n \in \mathbb{N}$

Verify that the following sequence defined recursively admits as closed formula another sequence

Proving $3^n>n^2$ by induction

How to prove the Church-Rosser theorem for combinatory logic

Fibonacci numbers is defined by the recurrence relation $F_{n+2} = F_{n+1} + F_n$, prove by induction

Induction on $2^n > n^2 - 7$.

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