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Proof writing: how to write a clear induction proof?

score 11.6k · Answer 1 · 2026-04-13 16:51:59

11.6k

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Proof writing: how to write a clear induction proof?

Published on 13 Apr 2026 - 16:51

score 98 · Answer 2 · 2026-04-13 13:18:47

98

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Prove by Induction - Sequence

Published on 13 Apr 2026 - 13:18

score 538 · Answer 3 · 2026-04-17 07:42:12

538

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Prove that $1 \cdot 1!+2 \cdot 2!+\cdots+n \cdot n!=(n+1)!-1$

Published on 17 Apr 2026 - 7:42

score 395 · Answer 4 · 2026-04-15 04:32:32

395

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Prove by induction $n! > n^2$

Published on 15 Apr 2026 - 4:32

score 39 · Answer 5 · 2026-04-16 04:39:35

39

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Theorem? For every $f:\mathbb{R}\to\mathbb{R}$, for every $A \subseteq R$ where $A$ is finite, $\exists c\in\mathbb{R}:\forall x\in A:(f(x) = c)$.

Published on 16 Apr 2026 - 4:39

score 431 · Answer 6 · 2026-04-12 22:28:14

431

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Prove that $371\cdots 1$ is not prime

Published on 12 Apr 2026 - 22:28

score 1k · Answer 7 · 2026-04-15 21:19:06

1k

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Proving that $8^n-2^n$ is a multiple of $6$ for all $n\geq 0$ by induction

Published on 15 Apr 2026 - 21:19

score 249 · Answer 8 · 2026-04-16 07:45:07

249

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Proving $\frac {2n}{(a+b)^n} \le \frac {1}{a^n} + \frac {1}{b^n}$ for $a,b>0, n\in\mathbb{N}$ by induction

Published on 16 Apr 2026 - 7:45

score 440 · Answer 9 · 2026-04-11 23:56:08

440

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Discrete Math Informal Proofs Using Mathematical Induction

Published on 11 Apr 2026 - 23:56

score 433 · Answer 10 · 2026-04-12 10:39:47

433

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Proving the principle of definition by generalized recursion using the inductive closure of an induction system

Published on 12 Apr 2026 - 10:39

score 1.3k · Answer 11 · 2026-03-25 20:40:09

1.3k

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Induction Proof on String

Published on 25 Mar 2026 - 20:40

score 63 · Answer 12 · 2026-04-13 20:40:57

63

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Simple Induction Proof

Published on 13 Apr 2026 - 20:40

score 1.4k · Answer 13 · 2026-04-09 13:05:11

1.4k

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A polynomial of degree $n$ has at most $n$ zeros

Published on 09 Apr 2026 - 13:05

score 325 · Answer 14 · 2026-04-17 02:40:35

325

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Proof verification for proving $\forall n \ge 2, 1 + \frac1{2^2} + \frac1{3^2} + \cdots + \frac1{n^2} < 2 − \frac1n$ by induction

Published on 17 Apr 2026 - 2:40

score 1k · Answer 15 · 2026-04-13 00:49:58

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Help with factorial inequality induction proof: $3^n + n! \le (n+3)!$

Published on 13 Apr 2026 - 0:49

List Question

Proof writing: how to write a clear induction proof?

Prove by Induction - Sequence

Prove that $1 \cdot 1!+2 \cdot 2!+\cdots+n \cdot n!=(n+1)!-1$

Prove by induction $n! > n^2$

Theorem? For every $f:\mathbb{R}\to\mathbb{R}$, for every $A \subseteq R$ where $A$ is finite, $\exists c\in\mathbb{R}:\forall x\in A:(f(x) = c)$.

Prove that $371\cdots 1$ is not prime

Proving that $8^n-2^n$ is a multiple of $6$ for all $n\geq 0$ by induction

Proving $\frac {2n}{(a+b)^n} \le \frac {1}{a^n} + \frac {1}{b^n}$ for $a,b>0, n\in\mathbb{N}$ by induction

Discrete Math Informal Proofs Using Mathematical Induction

Proving the principle of definition by generalized recursion using the inductive closure of an induction system

Induction Proof on String

Simple Induction Proof

A polynomial of degree $n$ has at most $n$ zeros

Proof verification for proving $\forall n \ge 2, 1 + \frac1{2^2} + \frac1{3^2} + \cdots + \frac1{n^2} < 2 − \frac1n$ by induction

Help with factorial inequality induction proof: $3^n + n! \le (n+3)!$

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