Question

Use induction to show that: $\frac{1}{2!} + \frac{2}{3!} + \frac{3}{4!} +\ldots + \frac{n}{(n+1)!} = 1-\frac{1}{(n+1)!}$

score 43 · Answer 1 · 2020-04-26 20:19:46

Use induction to show that: $\frac{1}{2!} + \frac{2}{3!} + \frac{3}{4!} +\ldots + \frac{n}{(n+1)!} = 1-\frac{1}{(n+1)!}$

score 213 · Answer 2 · 2026-03-26 06:31:06

213

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Proving by induction the construction of a planar graph with maximum number of edges.

Published on 26 Mar 2026 - 6:31

score 1.3k · Answer 3 · 2020-04-27 14:51:44

1.3k

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Prove that $n(T) = (2l(T) – 1)$ for all full binary trees T, using structural induction

Published on 27 Apr 2020 - 14:51

score 1.4k · Answer 4 · 2026-03-28 13:21:34

1.4k

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Prove that a red-black tree with $n$ internal nodes has height at most $2\lg(n+1)$

Published on 28 Mar 2026 - 13:21

score 25 · Answer 5 · 2026-04-09 21:46:55

25

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Can weighted means of functions intersect?

Published on 09 Apr 2026 - 21:46

score 59 · Answer 6 · 2020-04-28 02:17:35

59

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prove $(\frac{n+1}{n})^n < (\frac{n}{n-1})^n$ if $n\geq2$

Published on 28 Apr 2020 - 2:17

score 274 · Answer 7 · 2026-04-09 05:32:07

274

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Polya's urn scheme from Feller Volume 1

Published on 09 Apr 2026 - 5:32

score 247 · Answer 8 · 2020-04-28 07:16:53

247

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Show that $x_n$ is increasing and $x_n < 2$ for all $n \geq 2$, for the sequence. $x_1 = 1$, $x_{n+1} = \frac{1}{5}(x_n^2 + 6)$ for $n \geq 1$.

Published on 28 Apr 2020 - 7:16

score 37 · Answer 9 · 2026-04-11 04:12:47

37

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Prove by induction of integration functions

Published on 11 Apr 2026 - 4:12

score 33 · Answer 10 · 2026-04-09 03:00:46

33

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Need help with mathematical induction

Published on 09 Apr 2026 - 3:00

score 27 · Answer 11 · 2020-04-29 01:59:41

27

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Basic Mathematical Induction Proof

Published on 29 Apr 2020 - 1:59

score 53 · Answer 12 · 2020-04-29 06:55:54

53

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Questions about the Inductive sequence. $x_1 = 1$ , $x_{n+1}= \frac{1}{5}(x_n^2+6)$ for $n \geq 1$

Published on 29 Apr 2020 - 6:55

score 89 · Answer 13 · 2026-04-08 10:48:01

89

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Show that $2^n>\frac{n(n-1)}{2}$ without using induction

Published on 08 Apr 2026 - 10:48

score 55 · Answer 14 · 2020-04-30 09:07:08

55

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Questions involving the inductive sequence, $x_1 = 7$, $x_{n+1} = \sqrt{3x_n + 4}$ for $n \geq 1$

Published on 30 Apr 2020 - 9:07

score 182 · Answer 15 · 2026-03-25 19:07:05

182

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If $f(\frac{t_1+t_2}{2}) \leq \frac{f(t_1)+f(t_2)}{2}$, show that $f(\frac{t_1+t_2+ \cdots +t_n}{n})\leq \frac{f(t_1)+f(t_2)+\cdots f(t_n)}{n}$

Published on 25 Mar 2026 - 19:07

List Question

Use induction to show that: $\frac{1}{2!} + \frac{2}{3!} + \frac{3}{4!} +\ldots + \frac{n}{(n+1)!} = 1-\frac{1}{(n+1)!}$

Proving by induction the construction of a planar graph with maximum number of edges.

Prove that $n(T) = (2l(T) – 1)$ for all full binary trees T, using structural induction

Prove that a red-black tree with $n$ internal nodes has height at most $2\lg(n+1)$

Can weighted means of functions intersect?

prove $(\frac{n+1}{n})^n < (\frac{n}{n-1})^n$ if $n\geq2$

Polya's urn scheme from Feller Volume 1

Show that $x_n$ is increasing and $x_n < 2$ for all $n \geq 2$, for the sequence. $x_1 = 1$, $x_{n+1} = \frac{1}{5}(x_n^2 + 6)$ for $n \geq 1$.

Prove by induction of integration functions

Need help with mathematical induction

Basic Mathematical Induction Proof

Questions about the Inductive sequence. $x_1 = 1$ , $x_{n+1}= \frac{1}{5}(x_n^2+6)$ for $n \geq 1$

Show that $2^n>\frac{n(n-1)}{2}$ without using induction

Questions involving the inductive sequence, $x_1 = 7$, $x_{n+1} = \sqrt{3x_n + 4}$ for $n \geq 1$

If $f(\frac{t_1+t_2}{2}) \leq \frac{f(t_1)+f(t_2)}{2}$, show that $f(\frac{t_1+t_2+ \cdots +t_n}{n})\leq \frac{f(t_1)+f(t_2)+\cdots f(t_n)}{n}$

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