Question

Proving $\sum\limits_{k=1}^{n+1} a_k\cdot\sum\limits_{k=1}^{n+1} \frac{1}{a_k} \geq (n+1)^2$

score 62 · Answer 1 · 2018-11-22 22:11:34

62

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Proving $\sum\limits_{k=1}^{n+1} a_k\cdot\sum\limits_{k=1}^{n+1} \frac{1}{a_k} \geq (n+1)^2$

Published on 22 Nov 2018 - 22:11

score 855 · Answer 2 · 2018-11-23 04:03:19

855

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Prove by mathematical induction that $\sum_{i=0}^n (n-i)2^i = 2^{n+1}-n-2$

Published on 23 Nov 2018 - 4:03

score 256 · Answer 3 · 2018-11-23 09:56:54

256

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Prove $2^{3^n}+1 $ is a multiple of $3^{n+1}$ by induction

Published on 23 Nov 2018 - 9:56

score 29 · Answer 4 · 2018-11-23 12:57:43

29

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Mathematical Induction Prove the Formula

Published on 23 Nov 2018 - 12:57

score 1.2k · Answer 5 · 2018-11-23 13:40:46

1.2k

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Prove that two sequences converge to the same limit.

Published on 23 Nov 2018 - 13:40

score 571 · Answer 6 · 2026-03-25 08:12:12

571

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Coxeter length in the symmetric group equals number of inversions

Published on 25 Mar 2026 - 8:12

score 773 · Answer 7 · 2018-11-24 08:44:32

773

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Stones game proof by induction

Published on 24 Nov 2018 - 8:44

score 5.3k · Answer 8 · 2018-11-24 11:38:21

5.3k

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Proving $(n+1)^2+(n+2)^2+...+(2n)^2= \frac{n(2n+1)(7n+1)}{6}$ by induction

Published on 24 Nov 2018 - 11:38

score 2.7k · Answer 9 · 2026-03-25 19:10:04

2.7k

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Proving $n \leq 3^{n/3}$ for $n \geq 0$ via the Well-Ordering Principle

Published on 25 Mar 2026 - 19:10

score 48 · Answer 10 · 2026-03-29 22:12:34

48

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Is there a name for this method of proof?

Published on 29 Mar 2026 - 22:12

score 128 · Answer 11 · 2018-11-27 22:17:04

128

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How many cases do I need for a proof by induction

Published on 27 Nov 2018 - 22:17

score 126 · Answer 12 · 2018-11-28 03:43:56

126

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Proofs involving functions and induction

Published on 28 Nov 2018 - 3:43

score 348 · Answer 13 · 2018-11-28 13:13:25

348

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Proof by induction using functions

Published on 28 Nov 2018 - 13:13

score 229 · Answer 14 · 2018-11-28 19:57:01

229

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combination numbers induction proof

Published on 28 Nov 2018 - 19:57

score 439 · Answer 15 · 2026-03-25 21:45:08

439

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Proof by Induction Question including Rational Numbers

Published on 25 Mar 2026 - 21:45

List Question

Proving $\sum\limits_{k=1}^{n+1} a_k\cdot\sum\limits_{k=1}^{n+1} \frac{1}{a_k} \geq (n+1)^2$

Prove by mathematical induction that $\sum_{i=0}^n (n-i)2^i = 2^{n+1}-n-2$

Prove $2^{3^n}+1 $ is a multiple of $3^{n+1}$ by induction

Mathematical Induction Prove the Formula

Prove that two sequences converge to the same limit.

Coxeter length in the symmetric group equals number of inversions

Stones game proof by induction

Proving $(n+1)^2+(n+2)^2+...+(2n)^2= \frac{n(2n+1)(7n+1)}{6}$ by induction

Proving $n \leq 3^{n/3}$ for $n \geq 0$ via the Well-Ordering Principle

Is there a name for this method of proof?

How many cases do I need for a proof by induction

Proofs involving functions and induction

Proof by induction using functions

combination numbers induction proof

Proof by Induction Question including Rational Numbers

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