Question

How to prove via induction.

score 60 · Answer 1 · 2026-04-10 17:02:17

60

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How to prove via induction.

Published on 10 Apr 2026 - 17:02

score 57 · Answer 2 · 2016-08-20 06:03:01

57

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Finding the coeffecient of $x_{n+j}\cdot x_{n+k}$ in $\prod_{l=2}^n(1+\sum_{i=1}^{l-1}c_{il}x_{n+i})$

Published on 20 Aug 2016 - 6:03

score 48.7k · Answer 3 · 2026-04-12 12:32:46

48.7k

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What is the algebraic intuition behind Vieta jumping in IMO1988 Problem 6?

Published on 12 Apr 2026 - 12:32

score 29 · Answer 4 · 2016-08-20 16:41:23

29

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A property of subsets of $A\times\mathbb N$

Published on 20 Aug 2016 - 16:41

score 2.1k · Answer 5 · 2026-04-05 01:11:31

2.1k

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Prove that :- $A_n = 2903^n - 803^n - 464^n + 261^n$ is divisible by $1897$ for $n \in \mathbb{N}$

Published on 05 Apr 2026 - 1:11

score 88 · Answer 6 · 2026-04-02 12:52:10

88

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How to prove that $(L_1L_2)' = (L_2)'(L_1)'$

Published on 02 Apr 2026 - 12:52

score 9k · Answer 7 · 2026-03-30 20:12:33

9k

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Mathematical induction problem: $\frac12\cdot \frac34\cdots\frac{2n-1}{2n}<\frac1{\sqrt{2n}}$

Published on 30 Mar 2026 - 20:12

score 1.1k · Answer 8 · 2026-03-27 18:27:58

1.1k

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Find number of occurrences of a character in a string recursively.

Published on 27 Mar 2026 - 18:27

score 69 · Answer 9 · 2026-04-11 17:03:53

69

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Prove by mathematical induction and determine when there is an equality

Published on 11 Apr 2026 - 17:03

score 99 · Answer 10 · 2026-04-11 07:49:11

99

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How can I prove by induction that $n!>n^{\frac n2}$ for $n>2$?

Published on 11 Apr 2026 - 7:49

score 79 · Answer 11 · 2016-08-23 17:19:55

79

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Find a law, and prove it by induction.

Published on 23 Aug 2016 - 17:19

score 141 · Answer 12 · 2016-08-24 10:29:23

141

Views

Inequality, prove for all natural numbers $n \geq 2$, possibly induction

Published on 24 Aug 2016 - 10:29

score 160 · Answer 13 · 2016-08-24 16:47:15

160

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Prove that $\left(\frac{n}{2}\right)^n \gt n! \gt \left(\frac{n}{3}\right)^n \qquad n\ge 6 $

Published on 24 Aug 2016 - 16:47

score 523 · Answer 14 · 2026-04-12 21:33:25

523

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Is This Proof Valid? - $\sum_{k=1}^{n}\mu(k!)=1$ for $n \geq 3$

Published on 12 Apr 2026 - 21:33

score 184 · Answer 15 · 2026-03-30 17:38:09

184

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Prove that $y_1, . . . , y_n$ can be obtained from $x_1, . . ., x_n$ by a permutation if $x_1^{x_1}+...+x_n^{x_n}= y_1^{y_1}+...+y_n^{y_n}$

Published on 30 Mar 2026 - 17:38

List Question

How to prove via induction.

Finding the coeffecient of $x_{n+j}\cdot x_{n+k}$ in $\prod_{l=2}^n(1+\sum_{i=1}^{l-1}c_{il}x_{n+i})$

What is the algebraic intuition behind Vieta jumping in IMO1988 Problem 6?

A property of subsets of $A\times\mathbb N$

Prove that :- $A_n = 2903^n - 803^n - 464^n + 261^n$ is divisible by $1897$ for $n \in \mathbb{N}$

How to prove that $(L_1L_2)' = (L_2)'(L_1)'$

Mathematical induction problem: $\frac12\cdot \frac34\cdots\frac{2n-1}{2n}<\frac1{\sqrt{2n}}$

Find number of occurrences of a character in a string recursively.

Prove by mathematical induction and determine when there is an equality

How can I prove by induction that $n!>n^{\frac n2}$ for $n>2$?

Find a law, and prove it by induction.

Inequality, prove for all natural numbers $n \geq 2$, possibly induction

Prove that $\left(\frac{n}{2}\right)^n \gt n! \gt \left(\frac{n}{3}\right)^n \qquad n\ge 6 $

Is This Proof Valid? - $\sum_{k=1}^{n}\mu(k!)=1$ for $n \geq 3$

Prove that $y_1, . . . , y_n$ can be obtained from $x_1, . . ., x_n$ by a permutation if $x_1^{x_1}+...+x_n^{x_n}= y_1^{y_1}+...+y_n^{y_n}$

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