Question

How many ways are there to express a natural as a sum of 3 others—but by induction?

score 20 · Answer 1 · 2026-04-12 23:13:24

20

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How many ways are there to express a natural as a sum of 3 others—but by induction?

Published on 12 Apr 2026 - 23:13

score 225 · Answer 2 · 2026-04-15 17:21:01

225

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Proving $\frac{n^n}{3^n} < n!$ for $n\ge6$ by induction

Published on 15 Apr 2026 - 17:21

score 567 · Answer 3 · 2026-04-12 13:13:44

567

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Property for the natural numbers.

Published on 12 Apr 2026 - 13:13

score 1.2k · Answer 4 · 2026-04-17 13:41:01

1.2k

Views

Prove by induction and recursion that $n!=n(n-1)(n-2)...(3)(2)(1). $

Published on 17 Apr 2026 - 13:41

score 27 · Answer 5 · 2026-04-11 13:15:40

27

Views

Equivalence of definitions of the axiom of induction.

Published on 11 Apr 2026 - 13:15

score 476 · Answer 6 · 2026-04-12 06:21:40

476

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Stating the induction hypothesis

Published on 12 Apr 2026 - 6:21

score 60 · Answer 7 · 2026-04-08 19:27:05

60

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doubt about the solution to an induction problem exercise

Published on 08 Apr 2026 - 19:27

score 1.7k · Answer 8 · 2026-04-13 11:50:25

1.7k

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Using induction more than once in a proof

Published on 13 Apr 2026 - 11:50

score 171 · Answer 9 · 2026-04-14 18:20:07

171

Views

Proving a formula about the supremum of a finite family of sets by induction

Published on 14 Apr 2026 - 18:20

score 5.6k · Answer 10 · 2026-04-12 09:52:03

5.6k

Views

We all use mathematical induction to prove results, but is there a proof of mathematical induction itself?

Published on 12 Apr 2026 - 9:52

score 85 · Answer 11 · 2026-04-08 16:45:59

85

Views

How do you symbolically represent the general principle of induction?

Published on 08 Apr 2026 - 16:45

score 15.6k · Answer 12 · 2026-04-12 08:06:49

15.6k

Views

Mathematical induction: using 3 cent and 7 cent stamps

Published on 12 Apr 2026 - 8:06

score 343 · Answer 13 · 2026-04-17 09:03:56

343

Views

Prove that $1^2 + 2^2 + ..... + (n-1)^2 < \frac {n^3} { 3} < 1^2 + 2^2 + ...... + n^2$

Published on 17 Apr 2026 - 9:03

score 104 · Answer 14 · 2026-04-14 08:52:53

104

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"Proof" that $(2n)!$ is divisible by $2^n 5^{n-3}$ for $n\ge3$

Published on 14 Apr 2026 - 8:52

score 2.6k · Answer 15 · 2026-04-16 02:48:05

2.6k

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Use induction to prove that $F_n \ge \sqrt 2 ^n$ for $n \ge 6$

Published on 16 Apr 2026 - 2:48

List Question

How many ways are there to express a natural as a sum of 3 others—but by induction?

Proving $\frac{n^n}{3^n} < n!$ for $n\ge6$ by induction

Property for the natural numbers.

Prove by induction and recursion that $n!=n(n-1)(n-2)...(3)(2)(1). $

Equivalence of definitions of the axiom of induction.

Stating the induction hypothesis

doubt about the solution to an induction problem exercise

Using induction more than once in a proof

Proving a formula about the supremum of a finite family of sets by induction

We all use mathematical induction to prove results, but is there a proof of mathematical induction itself?

How do you symbolically represent the general principle of induction?

Mathematical induction: using 3 cent and 7 cent stamps

Prove that $1^2 + 2^2 + ..... + (n-1)^2 < \frac {n^3} { 3} < 1^2 + 2^2 + ...... + n^2$

"Proof" that $(2n)!$ is divisible by $2^n 5^{n-3}$ for $n\ge3$

Use induction to prove that $F_n \ge \sqrt 2 ^n$ for $n \ge 6$

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