Question

Let $α,β$ be the roots of $x^2-x+p=0$ and $γ,δ$ be the roots of $x^2-4x+q = 0$ where $p$ and $q$ are integers. If $α,β,γ,δ$ are in GP then $p + q$ is?

score 125 · Answer 1 · 2021-06-23 06:04:12

125

Views

Let $α,β$ be the roots of $x^2-x+p=0$ and $γ,δ$ be the roots of $x^2-4x+q = 0$ where $p$ and $q$ are integers. If $α,β,γ,δ$ are in GP then $p + q$ is?

Published on 23 Jun 2021 - 6:04

score 869 · Answer 2 · 2021-06-26 07:47:01

869

Views

Sum of the series of numbers consisting of AP and GP both.

Published on 26 Jun 2021 - 7:47

score 43 · Answer 3 · 2021-07-01 21:52:35

43

Views

Generalized Arithmetico-Geometic series with a possible application

Published on 01 Jul 2021 - 21:52

score 44 · Answer 4 · 2021-07-05 09:47:16

44

Views

geometric progression point distribution when one extreme point is negetive

Published on 05 Jul 2021 - 9:47

score 49 · Answer 5 · 2021-08-01 08:19:32

49

Views

If $a, b, c, d$ are in G.P., prove that they are in the same place as if they were in a different place.

Published on 01 Aug 2021 - 8:19

score 314 · Answer 6 · 2021-08-16 03:20:29

314

Views

If $\tan(\pi/12 -x),\tan(\pi/12), \tan(\pi/12 + x)$, are 3 consecutive terms of a GP then sum of the solutions in $[0, 314]$ is $k\pi$. What is $k$?

Published on 16 Aug 2021 - 3:20

score 105 · Answer 7 · 2021-08-16 09:34:49

105

Views

calcuate $\sum_{i=0}^{n} 2^{2i}$

Published on 16 Aug 2021 - 9:34

score 1.1k · Answer 8 · 2021-08-19 16:26:44

1.1k

Views

Find the sum of $5.5+55.55+555.555..$ up till n terms?

Published on 19 Aug 2021 - 16:26

score 123 · Answer 9 · 2021-08-20 18:51:01

123

Views

Find all $a,b$ for which the polynomial has real roots and are in geometric progression.

Published on 20 Aug 2021 - 18:51

score 297 · Answer 10 · 2026-03-25 11:06:33

297

Views

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score 91 · Answer 11 · 2021-09-07 18:02:12

91

Views

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Published on 07 Sep 2021 - 18:02

score 214 · Answer 12 · 2021-10-02 20:16:24

214

Views

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score 102 · Answer 13 · 2021-10-13 21:06:28

102

Views

Succession of geometric shapes

Published on 13 Oct 2021 - 21:06

score 155 · Answer 14 · 2021-10-27 09:07:17

155

Views

"Magic" numbers are those divided by all partial digit sums: prove that there is no infinite set of "magic" powers among the natural powers of $\ell$

Published on 27 Oct 2021 - 9:07

score 339 · Answer 15 · 2021-12-19 14:43:40

339

Views

Angles of a triangle - are in a Geometric Progression, possible values for the common ratio other than 1

Published on 19 Dec 2021 - 14:43

List Question

Let $α,β$ be the roots of $x^2-x+p=0$ and $γ,δ$ be the roots of $x^2-4x+q = 0$ where $p$ and $q$ are integers. If $α,β,γ,δ$ are in GP then $p + q$ is?

Sum of the series of numbers consisting of AP and GP both.

Generalized Arithmetico-Geometic series with a possible application

geometric progression point distribution when one extreme point is negetive

If $a, b, c, d$ are in G.P., prove that they are in the same place as if they were in a different place.

If $\tan(\pi/12 -x),\tan(\pi/12), \tan(\pi/12 + x)$, are 3 consecutive terms of a GP then sum of the solutions in $[0, 314]$ is $k\pi$. What is $k$?

calcuate $\sum_{i=0}^{n} 2^{2i}$

Find the sum of $5.5+55.55+555.555..$ up till n terms?

Find all $a,b$ for which the polynomial has real roots and are in geometric progression.

How to prove that a spiral that I have is logarithmic or archimedean?

What is the solution to this problem (Geometric and Arithmetic progression)?

Possible values of r (common ratio) if r is equal to d (common difference)

Succession of geometric shapes

"Magic" numbers are those divided by all partial digit sums: prove that there is no infinite set of "magic" powers among the natural powers of $\ell$

Angles of a triangle - are in a Geometric Progression, possible values for the common ratio other than 1

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