Question

Arithmetic progressions in arrays with limited range

score 29 · Answer 1 · 2026-03-26 03:18:50

29

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Arithmetic progressions in arrays with limited range

Published on 26 Mar 2026 - 3:18

score 245 · Answer 2 · 2023-04-13 12:01:55

245

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Find the roots of the polynomial $x^5-5x^4-35x^3+ax^2+bx+c$, given that the roots form an arithmetic progression.

Published on 13 Apr 2023 - 12:01

score 124 · Answer 3 · 2026-03-26 11:03:15

124

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The cubic $x^3+ax^2+bx+c$ has three distinct zeros in GP and the reciprocal of these zeros are in AP then prove that $2b^2+3ac=0$

Published on 26 Mar 2026 - 11:03

score 82 · Answer 4 · 2023-04-14 15:05:32

82

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What's the value of $p$ if the roots of the biquadratic equation $x^4-10x^2+p=0$ are in AP?

Published on 14 Apr 2023 - 15:05

score 272 · Answer 5 · 2023-04-21 07:35:39

272

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Finding the sum of the first 10 terms within an Arithmetic Progression

Published on 21 Apr 2023 - 7:35

score 49 · Answer 6 · 2026-03-25 17:26:01

49

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Clarification of the key theorem for proving Roth's theorem

Published on 25 Mar 2026 - 17:26

score 118 · Answer 7 · 2023-05-07 08:34:49

118

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An elementary proof that there are no 4 squares in arithmetic progression

Published on 07 May 2023 - 8:34

score 139 · Answer 8 · 2026-03-26 01:26:39

139

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Coloring arithmetic progression

Published on 26 Mar 2026 - 1:26

score 637 · Answer 9 · 2023-05-25 15:31:44

637

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Solve the equation $x^4-2x^3-21x^2+22x+40=0$ whose roots are in A.P.

Published on 25 May 2023 - 15:31

score 103 · Answer 10 · 2023-06-01 19:55:11

103

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Proof for $\sqrt{2}$, $\sqrt{3}$, $\sqrt{5}$ can never be the terms of a single arithmetic progression with non zero common difference.

Published on 01 Jun 2023 - 19:55

score 850 · Answer 11 · 2026-03-27 16:37:36

850

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What's the idea of Dirichlet’s Theorem on Arithmetic Progressions proof?

Published on 27 Mar 2026 - 16:37

score 68 · Answer 12 · 2026-02-23 09:32:39

68

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Does there exist a maximal subset of arithmetic progressions of length $k,$ such that any additional numbers will result in an A.P. of length $k+2?$

Published on 23 Feb 2026 - 9:32

score 127 · Answer 13 · 2023-06-08 23:03:47

127

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The choice of three or more consecutive terms of an A.P.

Published on 08 Jun 2023 - 23:03

score 71 · Answer 14 · 2023-06-09 06:59:43

71

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4th term of arithmetic progression is the sum of squares of the first three terms.

Published on 09 Jun 2023 - 6:59

score 30 · Answer 15 · 2026-02-23 13:45:54

30

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Prove that $uN\{0,1,2,\dots,m-1\}\equiv N\{0,1,2,\dots,m-1\}\pmod{mN}$, when gcd$(mN,u)=1$

Published on 23 Feb 2026 - 13:45

List Question

Arithmetic progressions in arrays with limited range

Find the roots of the polynomial $x^5-5x^4-35x^3+ax^2+bx+c$, given that the roots form an arithmetic progression.

The cubic $x^3+ax^2+bx+c$ has three distinct zeros in GP and the reciprocal of these zeros are in AP then prove that $2b^2+3ac=0$

What's the value of $p$ if the roots of the biquadratic equation $x^4-10x^2+p=0$ are in AP?

Finding the sum of the first 10 terms within an Arithmetic Progression

Clarification of the key theorem for proving Roth's theorem

An elementary proof that there are no 4 squares in arithmetic progression

Coloring arithmetic progression

Solve the equation $x^4-2x^3-21x^2+22x+40=0$ whose roots are in A.P.

Proof for $\sqrt{2}$, $\sqrt{3}$, $\sqrt{5}$ can never be the terms of a single arithmetic progression with non zero common difference.

What's the idea of Dirichlet’s Theorem on Arithmetic Progressions proof?

Does there exist a maximal subset of arithmetic progressions of length $k,$ such that any additional numbers will result in an A.P. of length $k+2?$

The choice of three or more consecutive terms of an A.P.

4th term of arithmetic progression is the sum of squares of the first three terms.

Prove that $uN\{0,1,2,\dots,m-1\}\equiv N\{0,1,2,\dots,m-1\}\pmod{mN}$, when gcd$(mN,u)=1$

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