List questions from induction

Published on 09 May 2019 - 7:56

41

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Proof by induction: $\sum_{j=1}^{n-1}{j^k}<\frac{n^{k+1}}{k+1}$ with $n,k \in \mathbb{N}$ and $n\geq 2$

Published on 09 May 2019 - 12:28

79

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Prove by induction on $n$ that $(1)(2)+(2)(3)+...+n(n+1)={1\over 3}n(n+1)(n+2)$

Published on 09 May 2019 - 14:00

2.5k

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Why can't I prove summation identities without guessing?

Published on 09 May 2019 - 16:36

63

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I'm actually lost regarding inductions

Published on 11 May 2019 - 3:31

362

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Recursion-like sequences which are hard to relate recursively

Published on 01 Apr 2026 - 3:41

103

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Prove that for all $n \in \mathbb{N}$, either 3 or 13 divides $3^n + 13n^2 + 38$

Published on 28 Mar 2026 - 5:22

105

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Congruences and second-order recurrence relations

Published on 28 Mar 2026 - 7:05

48

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Prove that $\sum_{i=1}^{2^n} \frac{1}{i} \geq 1 + \frac{n}{2}$ holds for all $n$

Published on 13 May 2019 - 8:09

498

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Why is the definition of inductive set well defined?

Published on 26 Mar 2026 - 14:42

42

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Equalities with sum of squares

Published on 26 Mar 2026 - 14:42

39

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Confused on an algebraic step of inductive proof

Published on 14 May 2019 - 2:38

51

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A divisibility problem with mathematical induction

Published on 28 Mar 2026 - 8:47

2.5k

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proof by mathematical induction n!< n^n

Published on 16 May 2019 - 17:56

176

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Question about self-complementary graphs

Published on 16 May 2019 - 18:22

List Question

Proof by induction: $\sum^{2n-1}_{i=1} (2i-1)=(2n-1)^2$

Proof by induction: $\sum_{j=1}^{n-1}{j^k}<\frac{n^{k+1}}{k+1}$ with $n,k \in \mathbb{N}$ and $n\geq 2$

Prove by induction on $n$ that $(1)(2)+(2)(3)+...+n(n+1)={1\over 3}n(n+1)(n+2)$

Why can't I prove summation identities without guessing?

I'm actually lost regarding inductions

Recursion-like sequences which are hard to relate recursively

Prove that for all $n \in \mathbb{N}$, either 3 or 13 divides $3^n + 13n^2 + 38$

Congruences and second-order recurrence relations

Prove that $\sum_{i=1}^{2^n} \frac{1}{i} \geq 1 + \frac{n}{2}$ holds for all $n$

Why is the definition of inductive set well defined?

Equalities with sum of squares

Confused on an algebraic step of inductive proof

A divisibility problem with mathematical induction

proof by mathematical induction n!< n^n

Question about self-complementary graphs

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