Question

Prove the formula for the sum of consecutive cubes

score 310 · Answer 1 · 2014-12-09 00:36:43

310

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Prove the formula for the sum of consecutive cubes

Published on 09 Dec 2014 - 0:36

score 742 · Answer 2 · 2014-12-09 02:20:48

742

Views

Verification of a proof that the difference of two odd integers is not odd

Published on 09 Dec 2014 - 2:20

score 44 · Answer 3 · 2014-12-09 03:45:39

44

Views

Prove $\sum_{r=0}^n 6r=3n(n+1)$ using induction

Published on 09 Dec 2014 - 3:45

score 65 · Answer 4 · 2014-12-09 03:55:59

65

Views

Prove that the function $f(n) = n! - 2^n$ is positive for $n \ge 4$

Published on 09 Dec 2014 - 3:55

score 138 · Answer 5 · 2014-12-09 04:20:56

138

Views

Prove that $\sum_{r=1}^nr(r+1)=\frac{n(n+1)(n+2)}{3}$ using induction

Published on 09 Dec 2014 - 4:20

score 1.5k · Answer 6 · 2026-03-25 16:00:07

1.5k

Views

Use induction to prove that Legendre polynomials solve the corresponding differential equation

Published on 25 Mar 2026 - 16:00

score 1.4k · Answer 7 · 2014-12-10 18:31:21

1.4k

Views

Can you use proof by contradiction inside simple induction?

Published on 10 Dec 2014 - 18:31

score 3.2k · Answer 8 · 2026-04-02 00:13:41

3.2k

Views

Prove by induction that an expression is divisible by 11

Published on 02 Apr 2026 - 0:13

score 97 · Answer 9 · 2014-12-11 15:12:15

97

Views

Compare inequalities in a proof by induction

Published on 11 Dec 2014 - 15:12

score 145 · Answer 10 · 2014-12-11 18:32:37

145

Views

Mathematical induction help, please.

Published on 11 Dec 2014 - 18:32

score 316 · Answer 11 · 2014-12-11 20:09:37

316

Views

Prove that $\frac{(p^{n}-1)(p^{n}-p).....(p^{n}-p^{n-1})}{n!} \in \mathbb{N}$ with $p$ a prime number and $n \in \mathbb{N}$

Published on 11 Dec 2014 - 20:09

score 119 · Answer 12 · 2014-12-12 03:07:39

119

Views

Prove that $1+2^1+2^2+\ldots +2^n=2^{n+1}-1$ using induction

Published on 12 Dec 2014 - 3:07

score 8.2k · Answer 13 · 2014-12-12 03:59:01

8.2k

Views

Prove or disprove $n^2+41n+41$ is a prime number for every integer $n$

Published on 12 Dec 2014 - 3:59

score 95 · Answer 14 · 2026-04-06 01:09:21

95

Views

How to prove the sequence given by $a_{n+1}=s+a_n^2$ is monotonic increasing?

Published on 06 Apr 2026 - 1:09

score 2k · Answer 15 · 2026-03-26 11:07:11

2k

Views

Model of Robinson Arithmetic but not Peano Arithmetic

Published on 26 Mar 2026 - 11:07

List Question

Prove the formula for the sum of consecutive cubes

Verification of a proof that the difference of two odd integers is not odd

Prove $\sum_{r=0}^n 6r=3n(n+1)$ using induction

Prove that the function $f(n) = n! - 2^n$ is positive for $n \ge 4$

Prove that $\sum_{r=1}^nr(r+1)=\frac{n(n+1)(n+2)}{3}$ using induction

Use induction to prove that Legendre polynomials solve the corresponding differential equation

Can you use proof by contradiction inside simple induction?

Prove by induction that an expression is divisible by 11

Compare inequalities in a proof by induction

Mathematical induction help, please.

Prove that $\frac{(p^{n}-1)(p^{n}-p).....(p^{n}-p^{n-1})}{n!} \in \mathbb{N}$ with $p$ a prime number and $n \in \mathbb{N}$

Prove that $1+2^1+2^2+\ldots +2^n=2^{n+1}-1$ using induction

Prove or disprove $n^2+41n+41$ is a prime number for every integer $n$

How to prove the sequence given by $a_{n+1}=s+a_n^2$ is monotonic increasing?

Model of Robinson Arithmetic but not Peano Arithmetic

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