Question

Mathematical induction - the set version v.s. predicate version

score 85 · Answer 1 · 2026-03-25 07:40:05

85

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Mathematical induction - the set version v.s. predicate version

Published on 25 Mar 2026 - 7:40

score 539 · Answer 2 · 2018-03-12 15:49:36

539

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Mathematical Induction prove that $n^3+5n$ is divisible by $6$

Published on 12 Mar 2018 - 15:49

score 61 · Answer 3 · 2018-03-12 16:07:47

61

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How to deal with $(-1)^{k-1}$

Published on 12 Mar 2018 - 16:07

score 80 · Answer 4 · 2018-03-12 17:17:48

80

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Is $1+1+(k+1)2^{k+1}<1+(k+2)2^{k+1}$, for $n=k+1$?

Published on 12 Mar 2018 - 17:17

score 49 · Answer 5 · 2026-03-25 03:00:28

49

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Induction Enough To Ensure That Only One Solution Exists For A Functional Equation?

Published on 25 Mar 2026 - 3:00

score 753 · Answer 6 · 2026-03-25 03:01:38

753

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How to calculate square matrix to power n with induction

Published on 25 Mar 2026 - 3:01

score 236 · Answer 7 · 2018-03-12 23:08:50

236

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How many symmetric oriented graphs with n vertices are there?

Published on 12 Mar 2018 - 23:08

score 1k · Answer 8 · 2018-03-13 16:39:41

1k

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Use induction to show that any integer greater than 3 can be represented as a sum of 2s and 5s.

Published on 13 Mar 2018 - 16:39

score 762 · Answer 9 · 2026-03-25 03:03:41

762

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How to prove this Fibonacci sequence statement: $F^2_{n+1} - F^2_{n-1} = F_{2n}$

Published on 25 Mar 2026 - 3:03

score 73 · Answer 10 · 2026-03-25 02:59:34

73

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How to prove this Fibonacci Statement?

Published on 25 Mar 2026 - 2:59

score 36 · Answer 11 · 2026-03-26 01:07:32

36

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solving polynomial equation (showing non-negativity)

Published on 26 Mar 2026 - 1:07

score 418 · Answer 12 · 2026-03-25 22:23:34

418

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How to prove that the fraction is integer by mathematical induction?

Published on 25 Mar 2026 - 22:23

score 134 · Answer 13 · 2026-03-25 20:53:31

134

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Prove that ${n \choose k} \ge (\frac{n}{k})^k$ for any given $n \ge k$ using induction

Published on 25 Mar 2026 - 20:53

score 4.2k · Answer 14 · 2018-03-20 03:18:00

4.2k

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Induction proof: If $h > -1$, then $1 + nh \leq (1 + h)^n$ for all nonnegative integers $n$.

Published on 20 Mar 2018 - 3:18

score 984 · Answer 15 · 2018-03-20 18:54:58

984

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Prove by induction, multiplication sequence

Published on 20 Mar 2018 - 18:54

List Question

Mathematical induction - the set version v.s. predicate version

Mathematical Induction prove that $n^3+5n$ is divisible by $6$

How to deal with $(-1)^{k-1}$

Is $1+1+(k+1)2^{k+1}<1+(k+2)2^{k+1}$, for $n=k+1$?

Induction Enough To Ensure That Only One Solution Exists For A Functional Equation?

How to calculate square matrix to power n with induction

How many symmetric oriented graphs with n vertices are there?

Use induction to show that any integer greater than 3 can be represented as a sum of 2s and 5s.

How to prove this Fibonacci sequence statement: $F^2_{n+1} - F^2_{n-1} = F_{2n}$

How to prove this Fibonacci Statement?

solving polynomial equation (showing non-negativity)

How to prove that the fraction is integer by mathematical induction?

Prove that ${n \choose k} \ge (\frac{n}{k})^k$ for any given $n \ge k$ using induction

Induction proof: If $h > -1$, then $1 + nh \leq (1 + h)^n$ for all nonnegative integers $n$.

Prove by induction, multiplication sequence

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