Question

Is this a complete proof by induction?

score 26 · Answer 1 · 2019-04-11 22:39:25

26

Views

Is this a complete proof by induction?

Published on 11 Apr 2019 - 22:39

score 2k · Answer 2 · 2026-03-27 03:33:23

2k

Views

Trouble finding the formula for f(n) of a recursive function.

Published on 27 Mar 2026 - 3:33

score 108 · Answer 3 · 2026-03-25 11:54:04

108

Views

There's an equivalence of simplicial categories $\Delta \to \tilde{\Delta}^{\text{op}}$.

Published on 25 Mar 2026 - 11:54

score 80 · Answer 4 · 2026-03-25 14:25:25

80

Views

Is the exclusion of infinite decimal expressions of the form $a_0.a_1\dots{a_n}\bar{9}$ logically necessary?

Published on 25 Mar 2026 - 14:25

score 32 · Answer 5 · 2019-04-12 14:31:23

32

Views

How to simplify this expression to get the target expression by induction.

Published on 12 Apr 2019 - 14:31

score 81 · Answer 6 · 2019-04-12 19:36:32

81

Views

Show With Induction that $2\cdot2^{0}+3\cdot2^{1}+4\cdot2^{2}+...(n+1)\cdot2^{n-1}=n\cdot2^{n}$

Published on 12 Apr 2019 - 19:36

score 702 · Answer 7 · 2019-04-12 21:57:14

702

Views

Find an integer $N$ such that $2^n > n^4$ whenever n is an integer greater than N.

Published on 12 Apr 2019 - 21:57

score 98 · Answer 8 · 2019-04-13 04:49:59

98

Views

If $S\subseteq \mathbb{N}:\ N_0\in S $ and $n+1\in S$ whenever $n\in S,$ then $S$ contains all natural numbers s.t. $n\geq N_0$.

Published on 13 Apr 2019 - 4:49

score 130 · Answer 9 · 2019-04-13 16:11:16

130

Views

Prove with induction $\sum_{k=1}^n\frac{1}{(2k-1)(2k+1)(2k+3)}=\frac{n(n+2)}{3(2n+1)(2n+3)}$

Published on 13 Apr 2019 - 16:11

score 136 · Answer 10 · 2019-04-13 21:34:25

136

Views

Finding an explicit formula for $a_1 := 1, a_{n+1} := 1 + \sum_{i=1}^{n} ia_i$

Published on 13 Apr 2019 - 21:34

score 61 · Answer 11 · 2026-03-28 10:24:13

61

Views

Inequalities involved in the proof of transcendence of $[0,10,10^{2!}, \dots]$

Published on 28 Mar 2026 - 10:24

score 162 · Answer 12 · 2019-04-14 13:47:16

How to use induction to show how to construct a graph with $2n$ nodes and $n^2$ edges such that the graph as exactly one, unique, complete pairing?

score 60 · Answer 13 · 2019-04-14 17:49:28

60

Views

How to show $\forall n \in \mathbb{N^*}, (\frac{2n}{3}+\frac{1}{3})\sqrt{n} \leq \sum_{k=1}^{n}\sqrt{k}$?

Published on 14 Apr 2019 - 17:49

score 3.1k · Answer 14 · 2026-03-27 18:16:30

3.1k

Views

Simple Proof of Binomial Theorem for Negative Integer Powers

Published on 27 Mar 2026 - 18:16

score 72 · Answer 15 · 2019-04-15 14:57:45

72

Views

Proof that the real number $\text {fin} \mathcal M$ has an additive inverse using induction.

Published on 15 Apr 2019 - 14:57

List Question

Is this a complete proof by induction?

Trouble finding the formula for f(n) of a recursive function.

There's an equivalence of simplicial categories $\Delta \to \tilde{\Delta}^{\text{op}}$.

Is the exclusion of infinite decimal expressions of the form $a_0.a_1\dots{a_n}\bar{9}$ logically necessary?

How to simplify this expression to get the target expression by induction.

Show With Induction that $2\cdot2^{0}+3\cdot2^{1}+4\cdot2^{2}+...(n+1)\cdot2^{n-1}=n\cdot2^{n}$

Find an integer $N$ such that $2^n > n^4$ whenever n is an integer greater than N.

If $S\subseteq \mathbb{N}:\ N_0\in S $ and $n+1\in S$ whenever $n\in S,$ then $S$ contains all natural numbers s.t. $n\geq N_0$.

Prove with induction $\sum_{k=1}^n\frac{1}{(2k-1)(2k+1)(2k+3)}=\frac{n(n+2)}{3(2n+1)(2n+3)}$

Finding an explicit formula for $a_1 := 1, a_{n+1} := 1 + \sum_{i=1}^{n} ia_i$

Inequalities involved in the proof of transcendence of $[0,10,10^{2!}, \dots]$

How to use induction to show how to construct a graph with $2n$ nodes and $n^2$ edges such that the graph as exactly one, unique, complete pairing?

How to show $\forall n \in \mathbb{N^*}, (\frac{2n}{3}+\frac{1}{3})\sqrt{n} \leq \sum_{k=1}^{n}\sqrt{k}$?

Simple Proof of Binomial Theorem for Negative Integer Powers

Proof that the real number $\text {fin} \mathcal M$ has an additive inverse using induction.

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