Question

Find $x$, if $2(a-b) + x(b-c)^2 + (c-a) ^3 = 2(a-d) + (b-d) ^2 +(c-d) ^3$, where $a, b, c, d$ are in AP series

score 569 · Answer 1 · 2018-01-02 03:07:48

569

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Find $x$, if $2(a-b) + x(b-c)^2 + (c-a) ^3 = 2(a-d) + (b-d) ^2 +(c-d) ^3$, where $a, b, c, d$ are in AP series

Published on 02 Jan 2018 - 3:07

score 61 · Answer 2 · 2018-01-09 21:45:16

61

Views

A closed form of $\prod_{i=0}^{n-1}(a+id)$

Published on 09 Jan 2018 - 21:45

score 590 · Answer 3 · 2018-01-11 16:06:31

590

Views

How do I generalize the nth term in an Arithmetic Progression?

Published on 11 Jan 2018 - 16:06

score 53 · Answer 4 · 2018-01-12 16:21:25

53

Views

Arithmetic progression determination

Published on 12 Jan 2018 - 16:21

score 306.5k · Answer 5 · 2026-02-24 01:52:38

306.5k

Views

Proof that $1+2+3+4+\cdots+n = \frac{n\times(n+1)}2$

Published on 24 Feb 2026 - 1:52

score 1.7k · Answer 6 · 2010-11-22 07:59:53

1.7k

Views

Dirichlet's theorem on primes in arithmetic progression

Published on 22 Nov 2010 - 7:59

score 99.2k · Answer 7 · 2011-01-18 09:53:50

99.2k

Views

How can we sum up $\sin$ and $\cos$ series when the angles are in arithmetic progression?

Published on 18 Jan 2011 - 9:53

score 797 · Answer 8 · 2011-06-12 13:32:50

797

Views

Why is sum of a sequence $\displaystyle s_n = \frac{n}{2}(a_1+a_n)$?

Published on 12 Jun 2011 - 13:32

score 1.1k · Answer 9 · 2026-03-27 07:13:53

1.1k

Views

Problem about sum of arithemtic progression and geometric progression

Published on 27 Mar 2026 - 7:13

score 144 · Answer 10 · 2012-03-05 19:32:25

144

Views

k-th Difference of product of multiple arithmetic progression powers

Published on 05 Mar 2012 - 19:32

score 10.5k · Answer 11 · 2012-03-06 15:37:21

10.5k

Views

$\sum \cos$ when angles are in arithmetic progression

Published on 06 Mar 2012 - 15:37

score 11.1k · Answer 12 · 2012-09-13 03:54:21

11.1k

Views

Proving that there are infinitely many primes with remainder of 2 when divided by 3

Published on 13 Sep 2012 - 3:54

score 1k · Answer 13 · 2012-11-06 18:35:56

1k

Views

Infinitely many primes p that are not congruent to 1 mod 5

Published on 06 Nov 2012 - 18:35

score 135 · Answer 14 · 2012-11-28 08:27:57

135

Views

Integer Part and Arithmetic Progressions

Published on 28 Nov 2012 - 8:27

score 287 · Answer 15 · 2012-12-01 20:42:22

287

Views

How to "make up a formula" of a sum: $S=2+7+12+\cdots+(5n-3)$?

Published on 01 Dec 2012 - 20:42

List Question

Find $x$, if $2(a-b) + x(b-c)^2 + (c-a) ^3 = 2(a-d) + (b-d) ^2 +(c-d) ^3$, where $a, b, c, d$ are in AP series

A closed form of $\prod_{i=0}^{n-1}(a+id)$

How do I generalize the nth term in an Arithmetic Progression?

Arithmetic progression determination

Proof that $1+2+3+4+\cdots+n = \frac{n\times(n+1)}2$

Dirichlet's theorem on primes in arithmetic progression

How can we sum up $\sin$ and $\cos$ series when the angles are in arithmetic progression?

Why is sum of a sequence $\displaystyle s_n = \frac{n}{2}(a_1+a_n)$?

Problem about sum of arithemtic progression and geometric progression

k-th Difference of product of multiple arithmetic progression powers

$\sum \cos$ when angles are in arithmetic progression

Proving that there are infinitely many primes with remainder of 2 when divided by 3

Infinitely many primes p that are not congruent to 1 mod 5

Integer Part and Arithmetic Progressions

How to "make up a formula" of a sum: $S=2+7+12+\cdots+(5n-3)$?

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