Question

Induction on inequalities: $\frac1{1^2}+\frac1{2^2}+\frac1{3^2}+\ldots+\frac1{n^2}<2$

score 386 · Answer 1 · 2026-04-15 21:05:05

386

Views

Induction on inequalities: $\frac1{1^2}+\frac1{2^2}+\frac1{3^2}+\ldots+\frac1{n^2}<2$

Published on 15 Apr 2026 - 21:05

score 31 · Answer 2 · 2026-04-15 16:20:00

31

Views

Find all $n$ so that the weights can be split into two groups

Published on 15 Apr 2026 - 16:20

score 181 · Answer 3 · 2026-04-14 18:50:25

181

Views

Induction: Prove that $5^{3n} + 7^{2n-1}$ is divisible by $4$

Published on 14 Apr 2026 - 18:50

score 87 · Answer 4 · 2026-04-25 22:49:00

87

Views

Does it make sense to claim that something cannot be proven without induction?

Published on 25 Apr 2026 - 22:49

score 73 · Answer 5 · 2026-04-17 14:31:28

73

Views

Product of the Euler phi function

Published on 17 Apr 2026 - 14:31

score 221 · Answer 6 · 2026-04-16 00:42:53

Use Induction to prove that for all $n \in \mathbb{N}, (x^n + \frac{1}{x^n}) \in \mathbb{Z}$ if $x+\frac{1}{x}\in\mathbb{Z}$.

score 92 · Answer 7 · 2026-04-12 23:09:56

92

Views

How do you express $\sum_{j=1}^{n} j^{k+1}$ in terms of $\sum_{j=1}^{n} j^{k}$?

Published on 12 Apr 2026 - 23:09

score 639 · Answer 8 · 2026-04-16 03:45:37

639

Views

Use induction to prove that any (finite) list is a permutation of itself—in other words, that the permutation relation is reflexive.

Published on 16 Apr 2026 - 3:45

score 65 · Answer 9 · 2026-04-16 09:38:18

65

Views

Show that $U_{n+1}-1<1/2(U_n-1)$

Published on 16 Apr 2026 - 9:38

score 61 · Answer 10 · 2026-04-13 08:02:31

61

Views

Induction to find string length equivalence

Published on 13 Apr 2026 - 8:02

score 110 · Answer 11 · 2026-04-09 03:48:50

110

Views

Can I extend mathematical induction to real numbers?

Published on 09 Apr 2026 - 3:48

score 208 · Answer 12 · 2026-05-15 20:04:36

208

Views

Induction on String? (automata related)

Published on 15 May 2026 - 20:04

score 372 · Answer 13 · 2026-04-13 14:40:43

372

Views

Proof of product summation of binomial coefficients

Published on 13 Apr 2026 - 14:40

score 50 · Answer 14 · 2026-04-13 18:13:22

50

Views

Factorial and induction

Published on 13 Apr 2026 - 18:13

score 1k · Answer 15 · 2026-03-27 23:39:04

1k

Views

Can the Recursion Theorem be proved in Peano Arithmetic?

Published on 27 Mar 2026 - 23:39

List Question

Induction on inequalities: $\frac1{1^2}+\frac1{2^2}+\frac1{3^2}+\ldots+\frac1{n^2}<2$

Find all $n$ so that the weights can be split into two groups

Induction: Prove that $5^{3n} + 7^{2n-1}$ is divisible by $4$

Does it make sense to claim that something cannot be proven without induction?

Product of the Euler phi function

Use Induction to prove that for all $n \in \mathbb{N}, (x^n + \frac{1}{x^n}) \in \mathbb{Z}$ if $x+\frac{1}{x}\in\mathbb{Z}$.

How do you express $\sum_{j=1}^{n} j^{k+1}$ in terms of $\sum_{j=1}^{n} j^{k}$?

Use induction to prove that any (finite) list is a permutation of itself—in other words, that the permutation relation is reflexive.

Show that $U_{n+1}-1<1/2(U_n-1)$

Induction to find string length equivalence

Can I extend mathematical induction to real numbers?

Induction on String? (automata related)

Proof of product summation of binomial coefficients

Factorial and induction

Can the Recursion Theorem be proved in Peano Arithmetic?

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