Question

Conjecture for $\ln(x)$ and $\frac{d^ny}{dx^n}$

score 601 · Answer 1 · 2026-03-25 16:44:20

601

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Conjecture for $\ln(x)$ and $\frac{d^ny}{dx^n}$

Published on 25 Mar 2026 - 16:44

score 249 · Answer 2 · 2018-10-13 20:36:33

249

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$\sum\limits_{k=1}^nk^r = \frac{1}{1+r}n^{r+1}+a_rn^r +....+a_1n$

Published on 13 Oct 2018 - 20:36

score 58 · Answer 3 · 2018-10-14 10:06:41

58

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Show by induction that $(\frac{n}{3})^n \leq \frac{n!}{3}$

Published on 14 Oct 2018 - 10:06

score 126 · Answer 4 · 2026-03-28 05:28:49

126

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Solve the recurrence relation $T(n) = (n-1) T(n-1)$

Published on 28 Mar 2026 - 5:28

score 51 · Answer 5 · 2026-03-25 15:48:02

51

Views

By mathematical induction prove that?

Published on 25 Mar 2026 - 15:48

score 100 · Answer 6 · 2026-03-25 15:47:59

100

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By M.I prove that?

Published on 25 Mar 2026 - 15:47

score 492 · Answer 7 · 2026-03-25 15:52:38

492

Views

Iteration to guess formula and simplify and use mathematical induction to prove right

Published on 25 Mar 2026 - 15:52

score 77 · Answer 8 · 2026-03-25 01:51:04

77

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Strong induction with recursive definition function

Published on 25 Mar 2026 - 1:51

score 1.2k · Answer 9 · 2018-10-14 21:56:13

1.2k

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Induction in which the base case is not 0

Published on 14 Oct 2018 - 21:56

score 129 · Answer 10 · 2018-10-15 02:23:24

129

Views

Unsure how to do this problem with iteration and mathematical induction

Published on 15 Oct 2018 - 2:23

score 16 · Answer 11 · 2018-10-15 04:00:31

16

Views

Prove that for any odd number m, there is some $e \in \mathcal{E}$ such that $vr(e) + op(e) = m$

Published on 15 Oct 2018 - 4:00

score 6.9k · Answer 12 · 2026-03-26 17:32:22

6.9k

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Prove that $3\cdot 5^{2n+1} +2^{3n+1}$ is divisible by $17$ for all $n ∈ \mathbb{N}$

Published on 26 Mar 2026 - 17:32

score 55 · Answer 13 · 2018-10-16 10:57:26

55

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prove that $b$ balls can be placed in $\binom{n-b+1}{b}$ spaces without touching

Published on 16 Oct 2018 - 10:57

score 2.3k · Answer 14 · 2026-03-26 14:24:49

2.3k

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Prove that $7^n+2$ is divisible by $3$ for all $n ∈ \mathbb{N}$

Published on 26 Mar 2026 - 14:24

score 63 · Answer 15 · 2026-03-28 11:35:20

63

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$F(X)=\lbrace 3\rbrace\cup\lbrace x+3|x\in X\rbrace$ show that $F$ is continous and cocontinous

Published on 28 Mar 2026 - 11:35

List Question

Conjecture for $\ln(x)$ and $\frac{d^ny}{dx^n}$

$\sum\limits_{k=1}^nk^r = \frac{1}{1+r}n^{r+1}+a_rn^r +....+a_1n$

Show by induction that $(\frac{n}{3})^n \leq \frac{n!}{3}$

Solve the recurrence relation $T(n) = (n-1) T(n-1)$

By mathematical induction prove that?

By M.I prove that?

Iteration to guess formula and simplify and use mathematical induction to prove right

Strong induction with recursive definition function

Induction in which the base case is not 0

Unsure how to do this problem with iteration and mathematical induction

Prove that for any odd number m, there is some $e \in \mathcal{E}$ such that $vr(e) + op(e) = m$

Prove that $3\cdot 5^{2n+1} +2^{3n+1}$ is divisible by $17$ for all $n ∈ \mathbb{N}$

prove that $b$ balls can be placed in $\binom{n-b+1}{b}$ spaces without touching

Prove that $7^n+2$ is divisible by $3$ for all $n ∈ \mathbb{N}$

$F(X)=\lbrace 3\rbrace\cup\lbrace x+3|x\in X\rbrace$ show that $F$ is continous and cocontinous

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