Question

How to prove $\sum_{k=1}^{n}k\binom{n}{k} = n2^{n-1}$

score 3k · Answer 1 · 2026-03-29 10:15:34

3k

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How to prove $\sum_{k=1}^{n}k\binom{n}{k} = n2^{n-1}$

Published on 29 Mar 2026 - 10:15

score 85 · Answer 2 · 2014-12-31 01:06:06

85

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Write $(1^3 −1)−(2^3 −1)+(3^3 −1)−(4^3 −1)+(5^3 −1)$ using summation or product notation.

Published on 31 Dec 2014 - 1:06

score 153 · Answer 3 · 2026-03-28 14:37:03

153

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induction, recursive function, discrete mathematics

Published on 28 Mar 2026 - 14:37

score 57 · Answer 4 · 2015-01-02 05:43:05

57

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Is this inductive proof valid?

Published on 02 Jan 2015 - 5:43

score 2.1k · Answer 5 · 2015-01-02 18:36:10

2.1k

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Prove Bernoulli inequality if $h>-1$

Published on 02 Jan 2015 - 18:36

score 2k · Answer 6 · 2015-01-02 21:01:31

2k

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Prove that if a set A of natural numbers contains $n_0$ and whenever A contains k it also contains k+1.

Published on 02 Jan 2015 - 21:01

score 71 · Answer 7 · 2019-10-02 05:08:04

71

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Help me understand inductive step with greater than, less than

Published on 02 Oct 2019 - 5:08

score 62 · Answer 8 · 2019-10-02 05:08:37

62

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Proving $\sum_{k=1}^{n} k(k!) = (n+1)! - 1$ by induction

Published on 02 Oct 2019 - 5:08

score 1k · Answer 9 · 2026-04-03 04:54:00

1k

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In mathematical induction, why can we say if it is true for n=1, n=k and n=k+1 then it is true for all numbers?

Published on 03 Apr 2026 - 4:54

score 85 · Answer 10 · 2026-03-30 06:48:35

85

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How would you explain mathematical induction to a novice in a simple and intuitive way?

Published on 30 Mar 2026 - 6:48

score 167 · Answer 11 · 2019-10-02 19:47:14

167

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Prove sequence using induction

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score 345 · Answer 12 · 2026-03-26 12:54:06

345

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Formula for the sum of words in a 3 letter algebra

Published on 26 Mar 2026 - 12:54

score 1k · Answer 13 · 2019-10-04 05:12:42

1k

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Combination formula: n-1 choose -1

Published on 04 Oct 2019 - 5:12

score 39 · Answer 14 · 2019-10-04 14:27:36

39

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Proof by induction: conversion to equal expressions

Published on 04 Oct 2019 - 14:27

score 45 · Answer 15 · 2019-10-04 17:52:58

45

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Proof by induction for recursions

Published on 04 Oct 2019 - 17:52

List Question

How to prove $\sum_{k=1}^{n}k\binom{n}{k} = n2^{n-1}$

Write $(1^3 −1)−(2^3 −1)+(3^3 −1)−(4^3 −1)+(5^3 −1)$ using summation or product notation.

induction, recursive function, discrete mathematics

Is this inductive proof valid?

Prove Bernoulli inequality if $h>-1$

Prove that if a set A of natural numbers contains $n_0$ and whenever A contains k it also contains k+1.

Help me understand inductive step with greater than, less than

Proving $\sum_{k=1}^{n} k(k!) = (n+1)! - 1$ by induction

In mathematical induction, why can we say if it is true for n=1, n=k and n=k+1 then it is true for all numbers?

How would you explain mathematical induction to a novice in a simple and intuitive way?

Prove sequence using induction

Formula for the sum of words in a 3 letter algebra

Combination formula: n-1 choose -1

Proof by induction: conversion to equal expressions

Proof by induction for recursions

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