Question

I need help with a proof regarding Fibonacci sequence.

score 110 · Answer 1 · 2026-04-09 23:02:14

110

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I need help with a proof regarding Fibonacci sequence.

Published on 09 Apr 2026 - 23:02

score 75 · Answer 2 · 2026-04-16 05:25:49

75

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Proof by induction of summation inequality: $1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\dots+\frac1{3^n}\ge 1+\frac{2n}3$

Published on 16 Apr 2026 - 5:25

score 55 · Answer 3 · 2026-04-16 01:19:16

55

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Induction in reverse to prove polynomials have a form $f(z) = w_0(z-w_1) \cdots (z-w_n)$

Published on 16 Apr 2026 - 1:19

score 827 · Answer 4 · 2026-04-11 22:18:41

827

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What am i doing wrong for this induction problem?

Published on 11 Apr 2026 - 22:18

score 61 · Answer 5 · 2026-04-14 22:43:13

61

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Proof, that $ \prod_{i = 1}^{n-1} (1 + \frac{1}{i})^i = \frac{n^n}{n!} $

Published on 14 Apr 2026 - 22:43

score 62 · Answer 6 · 2026-04-15 10:12:29

62

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Prove by induction that every integer n, n>=0 can be represented by 5a+7b for a, b in Z

Published on 15 Apr 2026 - 10:12

score 62 · Answer 7 · 2026-04-15 23:22:24

62

Views

Prove inequality by induction: $\sum _{i=1}^n\frac{1}{\sqrt{i}} > 2\left(\sqrt{n+1}-1\right)$ for $n \ge 1$

Published on 15 Apr 2026 - 23:22

score 76 · Answer 8 · 2026-04-11 09:47:50

76

Views

Matrix Proof Inverses

Published on 11 Apr 2026 - 9:47

score 178 · Answer 9 · 2026-04-14 22:58:25

178

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Given $a_1$, find an increasing sequence so that $a_1+\dots+a_k $ divides $ a_1^2+\dots+a_k^2$ for all $k$

Published on 14 Apr 2026 - 22:58

score 66 · Answer 10 · 2026-04-14 00:07:44

66

Views

On a rather strange induction

Published on 14 Apr 2026 - 0:07

score 294 · Answer 11 · 2026-04-17 14:38:55

294

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Prove the recurrence relation $T(n) = 2T(n/2) + n$ is equal to $n\log(n) + n$ using induction

Published on 17 Apr 2026 - 14:38

score 467 · Answer 12 · 2026-04-11 10:06:39

467

Views

Mathematical induction proof for integers

Published on 11 Apr 2026 - 10:06

score 72 · Answer 13 · 2026-04-14 17:12:22

72

Views

Find the explicit formula for this recurrence relation

Published on 14 Apr 2026 - 17:12

score 67 · Answer 14 · 2026-04-14 22:07:05

67

Views

Proving the generalized mediant inequality by using induction

Published on 14 Apr 2026 - 22:07

score 55 · Answer 15 · 2026-04-12 13:15:16

55

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Equivalence of Two Kinds of Induction

Published on 12 Apr 2026 - 13:15

List Question

I need help with a proof regarding Fibonacci sequence.

Proof by induction of summation inequality: $1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\dots+\frac1{3^n}\ge 1+\frac{2n}3$

Induction in reverse to prove polynomials have a form $f(z) = w_0(z-w_1) \cdots (z-w_n)$

What am i doing wrong for this induction problem?

Proof, that $ \prod_{i = 1}^{n-1} (1 + \frac{1}{i})^i = \frac{n^n}{n!} $

Prove by induction that every integer n, n>=0 can be represented by 5a+7b for a, b in Z

Prove inequality by induction: $\sum _{i=1}^n\frac{1}{\sqrt{i}} > 2\left(\sqrt{n+1}-1\right)$ for $n \ge 1$

Matrix Proof Inverses

Given $a_1$, find an increasing sequence so that $a_1+\dots+a_k $ divides $ a_1^2+\dots+a_k^2$ for all $k$

On a rather strange induction

Prove the recurrence relation $T(n) = 2T(n/2) + n$ is equal to $n\log(n) + n$ using induction

Mathematical induction proof for integers

Find the explicit formula for this recurrence relation

Proving the generalized mediant inequality by using induction

Equivalence of Two Kinds of Induction

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