List questions from induction

Published on 14 Apr 2026 - 15:27

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How would one go about solving these types of problems?

Published on 10 Apr 2026 - 15:32

62

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prove by contradiction:gcd and divisibility

Published on 17 Apr 2026 - 12:15

83

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Prove that using induction that $\binom22+\dots+\binom n2 = \binom{n+1}2$

Published on 15 Apr 2026 - 14:16

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How to show $p_n < p_1 + p_2 + \cdots + p_{n-1}$?

Published on 16 Apr 2026 - 18:21

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Proof by induction the following: $n+1 ≤ 2^n ≤ (n+1)!$

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Using induction to prove that the infinite set of polynomials is countably infinite

Published on 14 Apr 2026 - 11:00

600

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Prove $\sum_{i=1}^n i! \cdot i = (n+1)! - 1$?

Published on 14 Apr 2026 - 0:28

87

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Question Proof By Induction (One Step)

Published on 13 Apr 2026 - 17:35

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Calculating number of tile sequences

Published on 14 Apr 2026 - 19:17

145

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Definition by Recursion - Need for Rigour

Published on 13 Apr 2026 - 11:17

141

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Let $g_n= {2^2}^n +1 $. Prove $g_0 · g_1 · · · g_{n−1} = g_{n} − 2$

Published on 17 Apr 2026 - 2:29

89

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Question about structural induction and predecessor relation

Published on 12 Apr 2026 - 4:45

127

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Proof by Induction: "In a Zoo there are$\ k$ monkeys and$\ k$ monkey bars ...

Published on 28 Apr 2026 - 21:47

379

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Determine the matrix for every n,$\begin{pmatrix}1&1\\1&0\end{pmatrix}^n$.

Published on 16 Apr 2026 - 7:59

List Question

Prove the inequality for all natural numbers n using induction

How would one go about solving these types of problems?

prove by contradiction:gcd and divisibility

Prove that using induction that $\binom22+\dots+\binom n2 = \binom{n+1}2$

How to show $p_n < p_1 + p_2 + \cdots + p_{n-1}$?

Proof by induction the following: $n+1 ≤ 2^n ≤ (n+1)!$

Using induction to prove that the infinite set of polynomials is countably infinite

Prove $\sum_{i=1}^n i! \cdot i = (n+1)! - 1$?

Question Proof By Induction (One Step)

Calculating number of tile sequences

Definition by Recursion - Need for Rigour

Let $g_n= {2^2}^n +1 $. Prove $g_0 · g_1 · · · g_{n−1} = g_{n} − 2$

Question about structural induction and predecessor relation

Proof by Induction: "In a Zoo there are$\ k$ monkeys and$\ k$ monkey bars ...

Determine the matrix for every n,$\begin{pmatrix}1&1\\1&0\end{pmatrix}^n$.

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