Question

Inductive problem $\sqrt{k+1} -1\le \frac{a_{k-1}}{a_k}\le\sqrt{k}$

score 84 · Answer 1 · 2018-05-31 11:14:47

84

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Inductive problem $\sqrt{k+1} -1\le \frac{a_{k-1}}{a_k}\le\sqrt{k}$

Published on 31 May 2018 - 11:14

score 82 · Answer 2 · 2018-06-01 09:15:59

82

Views

A double induction inequality

Published on 01 Jun 2018 - 9:15

score 421 · Answer 3 · 2026-03-25 21:01:34

421

Views

${3^n\choose k}$ is divisible by $3$?

Published on 25 Mar 2026 - 21:01

score 578 · Answer 4 · 2018-06-02 06:25:39

578

Views

Prove the sequence is perfect square

Published on 02 Jun 2018 - 6:25

score 762 · Answer 5 · 2026-03-25 07:47:47

762

Views

Bogus Proof by Strong Induction

Published on 25 Mar 2026 - 7:47

score 67 · Answer 6 · 2018-06-02 20:30:57

67

Views

Proving a Fourier Polynomial Relation

Published on 02 Jun 2018 - 20:30

score 2.1k · Answer 7 · 2018-06-03 13:11:14

2.1k

Views

Prove using induction that $n^3 − n$ is divisible by 6 whenever $n > 0$.

Published on 03 Jun 2018 - 13:11

score 84 · Answer 8 · 2018-06-03 22:53:55

84

Views

How to use mathematical induction to verify: $\sum_{i=1}^{n}\frac{1}{i(i+1)} = \frac{n}{n+1}$

Published on 03 Jun 2018 - 22:53

score 84 · Answer 9 · 2018-06-04 18:10:25

84

Views

Mathematical induction inequality: $\sum_{r=1}^n\frac{1}{\sqrt r}>\sqrt n,~n\geq 2$

Published on 04 Jun 2018 - 18:10

score 134 · Answer 10 · 2026-03-25 03:01:42

134

Views

How to prove that $N\setminus A$ is finite?

Published on 25 Mar 2026 - 3:01

score 26 · Answer 11 · 2018-06-06 06:36:14

26

Views

Inductive proof for mean of a set of numbers is less than or equal to the maximum [collecting inductive proofs]

Published on 06 Jun 2018 - 6:36

score 74 · Answer 12 · 2018-06-06 14:26:43

74

Views

Am I permitted to use the truth of the base case during the inductive step in a proof using weak induction?

Published on 06 Jun 2018 - 14:26

score 598 · Answer 13 · 2018-06-06 20:25:55

598

Views

Spivak's Calculus: Finding the formula for the sum of a series.

Published on 06 Jun 2018 - 20:25

score 565 · Answer 14 · 2018-06-06 23:15:59

565

Views

Stuck on Induction Problem

Published on 06 Jun 2018 - 23:15

score 469 · Answer 15 · 2026-03-25 03:03:45

469

Views

Prove by induction that for every natural number $n$ is worth $2^n + 3^n ≤ 5^n$

Published on 25 Mar 2026 - 3:03

List Question

Inductive problem $\sqrt{k+1} -1\le \frac{a_{k-1}}{a_k}\le\sqrt{k}$

A double induction inequality

${3^n\choose k}$ is divisible by $3$?

Prove the sequence is perfect square

Bogus Proof by Strong Induction

Proving a Fourier Polynomial Relation

Prove using induction that $n^3 − n$ is divisible by 6 whenever $n > 0$.

How to use mathematical induction to verify: $\sum_{i=1}^{n}\frac{1}{i(i+1)} = \frac{n}{n+1}$

Mathematical induction inequality: $\sum_{r=1}^n\frac{1}{\sqrt r}>\sqrt n,~n\geq 2$

How to prove that $N\setminus A$ is finite?

Inductive proof for mean of a set of numbers is less than or equal to the maximum [collecting inductive proofs]

Am I permitted to use the truth of the base case during the inductive step in a proof using weak induction?

Spivak's Calculus: Finding the formula for the sum of a series.

Stuck on Induction Problem

Prove by induction that for every natural number $n$ is worth $2^n + 3^n ≤ 5^n$

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