Question

Induction on the equality $ \sum_{i=2}^{n+1} \frac{1}{i(i+1)}= \frac{n}{2(n+2)}$

score 87 · Answer 1 · 2016-09-01 12:10:35

87

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Induction on the equality $ \sum_{i=2}^{n+1} \frac{1}{i(i+1)}= \frac{n}{2(n+2)}$

Published on 01 Sep 2016 - 12:10

score 136 · Answer 2 · 2026-04-11 20:42:18

136

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Secondary school level mathematical induction

Published on 11 Apr 2026 - 20:42

score 104 · Answer 3 · 2026-04-12 15:31:54

104

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How can I prove this statement by induction?

Published on 12 Apr 2026 - 15:31

score 330 · Answer 4 · 2026-04-09 23:55:03

330

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The Induction Principle for Sentential Logic

Published on 09 Apr 2026 - 23:55

score 97 · Answer 5 · 2026-04-11 17:26:14

97

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A closed formula for the $i$th forward difference of Bézier control points.

Published on 11 Apr 2026 - 17:26

score 123 · Answer 6 · 2026-04-05 13:46:34

123

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Proof for $m!(n-m)!|n!$ for $m\leq n$

Published on 05 Apr 2026 - 13:46

score 103 · Answer 7 · 2016-09-04 15:22:36

103

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Proof by Induction on $a_{n-1}=(na_n+1)/(a_n+n)$.

Published on 04 Sep 2016 - 15:22

score 224 · Answer 8 · 2026-03-27 18:28:00

224

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Prove $T(n) = (n - 10)\log(n-10) -10$ for all $n \ge 18.$ by induction

Published on 27 Mar 2026 - 18:28

score 99 · Answer 9 · 2026-04-05 13:49:23

99

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Use mathematical induction to prove that $ \frac{(2n)!}{(2^n)} $ is a natural number for all n $\ge $ 0.

Published on 05 Apr 2026 - 13:49

score 79 · Answer 10 · 2026-04-11 06:17:10

79

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Induction proof - divisibility by 3

Published on 11 Apr 2026 - 6:17

score 657 · Answer 11 · 2026-04-02 10:20:14

657

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Induction absolute values proof verification

Published on 02 Apr 2026 - 10:20

score 210 · Answer 12 · 2026-04-08 17:30:13

210

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proof using the mathematical induction

Published on 08 Apr 2026 - 17:30

score 122 · Answer 13 · 2016-09-06 19:07:10

122

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How would you prove that $\sum_{k=1}^{n}\frac{k}{(k+1)!}= \frac{(n+1)!-1}{(n+1)!}$

Published on 06 Sep 2016 - 19:07

score 201 · Answer 14 · 2026-04-11 13:46:22

201

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$mn$ People standing in a rectangular array

Published on 11 Apr 2026 - 13:46

score 103 · Answer 15 · 2016-09-07 08:35:12

103

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$\left(\sum_{i=1}^n x_i\right) \cdot \left(\sum_{i=1}^n \frac{1}{x_i}\right) \ge n^2$, for all integers $n\ge 1$.

Published on 07 Sep 2016 - 8:35

List Question

Induction on the equality $ \sum_{i=2}^{n+1} \frac{1}{i(i+1)}= \frac{n}{2(n+2)}$

Secondary school level mathematical induction

How can I prove this statement by induction?

The Induction Principle for Sentential Logic

A closed formula for the $i$th forward difference of Bézier control points.

Proof for $m!(n-m)!|n!$ for $m\leq n$

Proof by Induction on $a_{n-1}=(na_n+1)/(a_n+n)$.

Prove $T(n) = (n - 10)\log(n-10) -10$ for all $n \ge 18.$ by induction

Use mathematical induction to prove that $ \frac{(2n)!}{(2^n)} $ is a natural number for all n $\ge $ 0.

Induction proof - divisibility by 3

Induction absolute values proof verification

proof using the mathematical induction

How would you prove that $\sum_{k=1}^{n}\frac{k}{(k+1)!}= \frac{(n+1)!-1}{(n+1)!}$

$mn$ People standing in a rectangular array

$\left(\sum_{i=1}^n x_i\right) \cdot \left(\sum_{i=1}^n \frac{1}{x_i}\right) \ge n^2$, for all integers $n\ge 1$.

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