List questions from induction

Published on 16 Apr 2026 - 7:40

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Proof by induction that $\frac1{n+1} + \frac1{n+2} + \ldots + \frac1{2n} \geq \frac7{12}$

Published on 14 Apr 2026 - 23:18

498

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Can the inequality $\sum\limits_{i=1}^n\frac{1}{\sqrt{i}} < 2\sqrt{n} - 1$ be proved without induction?

Published on 16 Apr 2026 - 19:47

88

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How does one show that for $k \in \mathbb{Z_+},3\mid2^{2^k} +5$ and $7\mid2^{2^k} + 3, \forall \space k$ odd.

Published on 15 Apr 2026 - 9:45

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Induction help with final answer

Published on 11 Apr 2026 - 20:23

2.2k

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Induction Sequence on Points on a Circle

Published on 13 Apr 2026 - 18:10

143

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Prove by induction that $u^{n} - v^{n} > (u - v)^{n}$

Published on 16 Apr 2026 - 11:52

175

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Sum of Harmonic Series

Published on 14 Apr 2026 - 20:15

95

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Exponents [Discrete Maths]

Published on 13 Apr 2026 - 22:14

397

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Induction Proof with Factorials

Published on 09 Apr 2026 - 11:52

468

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Why is the enumeration of binary strings misaligned?

Published on 10 Apr 2026 - 6:57

378

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Induction over real number

Published on 18 Apr 2026 - 3:35

1.6k

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Proof alternating sum of squares is alternating sign of sum

Published on 10 Apr 2026 - 21:03

107

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Inductive proof, algebra step

Published on 15 Apr 2026 - 10:07

40

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Proving that step-wise function is $\mathcal C^{\infty}$

Published on 12 Apr 2026 - 19:31

List Question

Use induction to prove that $n! \leq n^{n-1}$

Proof by induction that $\frac1{n+1} + \frac1{n+2} + \ldots + \frac1{2n} \geq \frac7{12}$

Can the inequality $\sum\limits_{i=1}^n\frac{1}{\sqrt{i}} < 2\sqrt{n} - 1$ be proved without induction?

How does one show that for $k \in \mathbb{Z_+},3\mid2^{2^k} +5$ and $7\mid2^{2^k} + 3, \forall \space k$ odd.

Induction help with final answer

Induction Sequence on Points on a Circle

Prove by induction that $u^{n} - v^{n} > (u - v)^{n}$

Sum of Harmonic Series

Exponents [Discrete Maths]

Induction Proof with Factorials

Why is the enumeration of binary strings misaligned?

Induction over real number

Proof alternating sum of squares is alternating sign of sum

Inductive proof, algebra step

Proving that step-wise function is $\mathcal C^{\infty}$

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