Question

Induction: confused by $P(k)$ to $P(k+1)$

score 158 · Answer 1 · 2026-03-28 14:05:33

158

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Induction: confused by $P(k)$ to $P(k+1)$

Published on 28 Mar 2026 - 14:05

score 70 · Answer 2 · 2019-06-13 03:18:21

70

Views

A combinatorial argument to prove a general inequality

Published on 13 Jun 2019 - 3:18

score 784 · Answer 3 · 2019-06-13 03:49:22

784

Views

Induction: Difference between $P(k) \implies P(k+1)$ and $P(k-1) \implies P(k)$

Published on 13 Jun 2019 - 3:49

score 205 · Answer 4 · 2019-06-14 22:51:44

205

Views

Proof with induction that $n^2+n$ is even, when $n \in \mathbb{N}$

Published on 14 Jun 2019 - 22:51

score 352 · Answer 5 · 2019-06-15 17:18:26

352

Views

Proving the chromatic polynomial of a clique using induction

Published on 15 Jun 2019 - 17:18

score 55 · Answer 6 · 2019-06-15 19:12:57

55

Views

Rules for factoring out a and b from $a^k - b^k$? Not sure why two expressions are equivalent.

Published on 15 Jun 2019 - 19:12

score 113 · Answer 7 · 2019-06-16 10:30:27

113

Views

How to find the formula to this summation and the prove it by induction?

Published on 16 Jun 2019 - 10:30

score 91 · Answer 8 · 2026-03-27 21:53:24

91

Views

Proving binomial sum equals $0$

Published on 27 Mar 2026 - 21:53

score 56 · Answer 9 · 2019-06-18 14:29:16

56

Views

Confusion with Discrete Math Induction example

Published on 18 Jun 2019 - 14:29

score 31 · Answer 10 · 2019-06-18 14:50:17

31

Views

Confusion with algebraic manipulation of inductive step

Published on 18 Jun 2019 - 14:50

score 71 · Answer 11 · 2019-06-18 15:31:48

71

Views

How is this induction argument here valid

Published on 18 Jun 2019 - 15:31

score 99 · Answer 12 · 2019-06-18 20:37:34

99

Views

Concrete Mathematics: how to prove 1.14 using induction

Published on 18 Jun 2019 - 20:37

score 70 · Answer 13 · 2019-06-19 09:49:52

70

Views

How can I prove this statement by mathematical induction?

Published on 19 Jun 2019 - 9:49

score 995 · Answer 14 · 2019-06-19 15:53:52

995

Views

Proof by induction v. Proof by smallest counter-example

Published on 19 Jun 2019 - 15:53

score 597 · Answer 15 · 2026-03-25 07:45:01

597

Views

Proving inequality for induction proof: $\frac1{(n+1)^2} + \frac1{n+1} < \frac1n$

Published on 25 Mar 2026 - 7:45

List Question

Induction: confused by $P(k)$ to $P(k+1)$

A combinatorial argument to prove a general inequality

Induction: Difference between $P(k) \implies P(k+1)$ and $P(k-1) \implies P(k)$

Proof with induction that $n^2+n$ is even, when $n \in \mathbb{N}$

Proving the chromatic polynomial of a clique using induction

Rules for factoring out a and b from $a^k - b^k$? Not sure why two expressions are equivalent.

How to find the formula to this summation and the prove it by induction?

Proving binomial sum equals $0$

Confusion with Discrete Math Induction example

Confusion with algebraic manipulation of inductive step

How is this induction argument here valid

Concrete Mathematics: how to prove 1.14 using induction

How can I prove this statement by mathematical induction?

Proof by induction v. Proof by smallest counter-example

Proving inequality for induction proof: $\frac1{(n+1)^2} + \frac1{n+1} < \frac1n$

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