Question

Show that $f(x)=0$ for all $x \in [a,b]$.

score 150 · Answer 1 · 2026-04-15 18:31:33

150

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Show that $f(x)=0$ for all $x \in [a,b]$.

Published on 15 Apr 2026 - 18:31

score 68 · Answer 2 · 2026-04-11 05:30:24

68

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basic mathematical induction problem

Published on 11 Apr 2026 - 5:30

score 211 · Answer 3 · 2026-04-17 13:40:52

211

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Prove ${4n \choose 2n} = {\frac{1\cdot3\cdot5\cdots(4n-1)}{(1\cdot3\cdot5\cdots(2n-1))^{2}}}{2n \choose n}$

Published on 17 Apr 2026 - 13:40

score 1.2k · Answer 4 · 2026-04-15 08:30:53

1.2k

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Prove by strong induction that $2^n$ divides $p_n$ for all integers n ≥ 1

Published on 15 Apr 2026 - 8:30

score 870 · Answer 5 · 2026-04-17 07:14:50

870

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How to Prove with Mathematical Induction $3^n > n^2$

Published on 17 Apr 2026 - 7:14

score 61 · Answer 6 · 2026-04-13 10:04:13

61

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Where to make induction?

Published on 13 Apr 2026 - 10:04

score 2.7k · Answer 7 · 2026-04-15 20:29:54

2.7k

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Proving $10^n \equiv 1 \pmod 3$ for all $n\geq 1$ by induction

Published on 15 Apr 2026 - 20:29

score 122 · Answer 8 · 2026-04-13 09:24:56

122

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How to prove this proposition with induction

Published on 13 Apr 2026 - 9:24

score 443 · Answer 9 · 2026-04-15 21:39:07

443

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Multiple part problem concerning the proof that $\sum_{k=1}^n k^3=\left(\frac{n(n+1)}{2}\right)^2$ by induction

Published on 15 Apr 2026 - 21:39

score 1k · Answer 10 · 2026-04-14 10:53:02

1k

Views

Inverted induction

Published on 14 Apr 2026 - 10:53

score 70 · Answer 11 · 2026-04-12 10:05:51

70

Views

How can I prove by mathematical induction that $\sum_{i=0}^n i^4 = (\sum_{i=0}^n i)^3$?

Published on 12 Apr 2026 - 10:05

score 291 · Answer 12 · 2026-04-14 18:59:56

291

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Proof by Induction $3^n > n^3$

Published on 14 Apr 2026 - 18:59

score 19k · Answer 13 · 2026-04-14 22:00:11

19k

Views

Proving $6^n - 1$ is always divisible by $5$ by induction

Published on 14 Apr 2026 - 22:00

score 103 · Answer 14 · 2026-04-16 14:40:57

103

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Proving $2^n -1 = \sum_{i=0} ^{n-1} 2^i$ for all $n\geq 1$ by induction

Published on 16 Apr 2026 - 14:40

score 226 · Answer 15 · 2026-04-14 15:20:04

226

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Prove by mathematical induction: $\frac{1}{n}+\frac{1}{n+1}+\dots+\frac{1}{n^2}>1$

Published on 14 Apr 2026 - 15:20

List Question

Show that $f(x)=0$ for all $x \in [a,b]$.

basic mathematical induction problem

Prove ${4n \choose 2n} = {\frac{1\cdot3\cdot5\cdots(4n-1)}{(1\cdot3\cdot5\cdots(2n-1))^{2}}}{2n \choose n}$

Prove by strong induction that $2^n$ divides $p_n$ for all integers n ≥ 1

How to Prove with Mathematical Induction $3^n > n^2$

Where to make induction?

Proving $10^n \equiv 1 \pmod 3$ for all $n\geq 1$ by induction

How to prove this proposition with induction

Multiple part problem concerning the proof that $\sum_{k=1}^n k^3=\left(\frac{n(n+1)}{2}\right)^2$ by induction

Inverted induction

How can I prove by mathematical induction that $\sum_{i=0}^n i^4 = (\sum_{i=0}^n i)^3$?

Proof by Induction $3^n > n^3$

Proving $6^n - 1$ is always divisible by $5$ by induction

Proving $2^n -1 = \sum_{i=0} ^{n-1} 2^i$ for all $n\geq 1$ by induction

Prove by mathematical induction: $\frac{1}{n}+\frac{1}{n+1}+\dots+\frac{1}{n^2}>1$

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