Question

Proving $\forall n \in \mathbb Z, n>0, \;\exists x_n\in \mathbb Z$ such that $x_n^2 \equiv 14 \pmod {5^n}$

score 68 · Answer 1 · 2018-02-15 20:25:23

68

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Proving $\forall n \in \mathbb Z, n>0, \;\exists x_n\in \mathbb Z$ such that $x_n^2 \equiv 14 \pmod {5^n}$

Published on 15 Feb 2018 - 20:25

score 37 · Answer 2 · 2018-02-16 03:17:22

37

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For every $k\ge 1$, exists $10^{k-1}\le n<10^k$ such that $10^k|n^2-n$?

Published on 16 Feb 2018 - 3:17

score 145 · Answer 3 · 2018-02-16 05:34:19

145

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Find the formula for $1 + 4 + 7 +\ldots+ (3n - 2)$ and verify the formula by induction

Published on 16 Feb 2018 - 5:34

score 42 · Answer 4 · 2018-02-16 15:43:11

42

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Tips for Mathematical induction, im student

Published on 16 Feb 2018 - 15:43

score 393 · Answer 5 · 2018-02-18 01:13:18

393

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Inductive proof of sequence defined by recurrence relation

Published on 18 Feb 2018 - 1:13

score 93 · Answer 6 · 2018-02-18 21:24:04

93

Views

proof by induction: product of number = 1

Published on 18 Feb 2018 - 21:24

score 730 · Answer 7 · 2026-03-22 13:25:00

730

Views

Recursive Induction Floor Proof Help

Published on 22 Mar 2026 - 13:25

score 3.2k · Answer 8 · 2026-03-23 06:44:45

3.2k

Views

Ackermann function proof by Induction

Published on 23 Mar 2026 - 6:44

score 209 · Answer 9 · 2018-02-20 13:46:40

209

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Prove $\sum_{i=0}^{2n}{(-1)^i \binom{2n}{i}^3} = (-1)^n \frac{(3n)!}{(n!)^3}$

Published on 20 Feb 2018 - 13:46

score 294 · Answer 10 · 2018-02-20 18:52:23

294

Views

Second principle of mathematical induction for identity permutation

Published on 20 Feb 2018 - 18:52

score 2.7k · Answer 11 · 2018-02-20 20:02:36

2.7k

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Can Induction be done to prove statements for integers?

Published on 20 Feb 2018 - 20:02

score 552 · Answer 12 · 2018-02-20 20:04:35

552

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Recursive derivative formula of $\frac{1}{a+bx}$

Published on 20 Feb 2018 - 20:04

score 67 · Answer 13 · 2026-03-22 14:25:40

67

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Bound a natural by two consecutive powers

Published on 22 Mar 2026 - 14:25

score 97 · Answer 14 · 2018-02-20 21:28:49

97

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Is $\frac{3^n-(-1)^n}{n}\ge 4$?

Published on 20 Feb 2018 - 21:28

score 372 · Answer 15 · 2018-02-21 00:40:45

372

Views

Proof by induction when upper bound isn't $n$

Published on 21 Feb 2018 - 0:40

List Question

Proving $\forall n \in \mathbb Z, n>0, \;\exists x_n\in \mathbb Z$ such that $x_n^2 \equiv 14 \pmod {5^n}$

For every $k\ge 1$, exists $10^{k-1}\le n<10^k$ such that $10^k|n^2-n$?

Find the formula for $1 + 4 + 7 +\ldots+ (3n - 2)$ and verify the formula by induction

Tips for Mathematical induction, im student

Inductive proof of sequence defined by recurrence relation

proof by induction: product of number = 1

Recursive Induction Floor Proof Help

Ackermann function proof by Induction

Prove $\sum_{i=0}^{2n}{(-1)^i \binom{2n}{i}^3} = (-1)^n \frac{(3n)!}{(n!)^3}$

Second principle of mathematical induction for identity permutation

Can Induction be done to prove statements for integers?

Recursive derivative formula of $\frac{1}{a+bx}$

Bound a natural by two consecutive powers

Is $\frac{3^n-(-1)^n}{n}\ge 4$?

Proof by induction when upper bound isn't $n$

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