Question

Sum of cosines with a multiplicative factor in the angle and different interval

score 105 · Answer 1 · 2026-03-29 02:12:42

105

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Sum of cosines with a multiplicative factor in the angle and different interval

Published on 29 Mar 2026 - 2:12

score 103 · Answer 2 · 2016-06-17 15:51:49

103

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On the existence of certain type of arithmetic progressions

Published on 17 Jun 2016 - 15:51

score 58 · Answer 3 · 2016-06-18 00:39:46

58

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Find the value of $\sum_{n=1}^k u_n$, arithmetic series

Published on 18 Jun 2016 - 0:39

score 394 · Answer 4 · 2016-06-18 16:36:42

394

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A question about arithmetic progressions and prime numbers

Published on 18 Jun 2016 - 16:36

score 200 · Answer 5 · 2016-06-19 15:14:18

200

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Validity of Arithmetic Progression

Published on 19 Jun 2016 - 15:14

score 1.5k · Answer 6 · 2016-06-24 14:58:26

1.5k

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$x, y , z$ are respectively the $sines$ and $p, q, r$ are respectively the $cosines$ of the .....

Published on 24 Jun 2016 - 14:58

score 34 · Answer 7 · 2016-06-27 18:18:09

34

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For $\forall m \in \mathbb{N}, m \ge 3$ there are m elements of S in arithmetic progression.

Published on 27 Jun 2016 - 18:18

score 4.3k · Answer 8 · 2016-06-30 15:47:18

4.3k

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Is there any formula to find the nth element in a sequence where common difference (d) is varying with a constant rate?

Published on 30 Jun 2016 - 15:47

score 743 · Answer 9 · 2016-06-30 20:23:42

743

Views

I derived a new formula related to arithmetic sequences, I think!

Published on 30 Jun 2016 - 20:23

score 987 · Answer 10 · 2016-07-03 12:28:39

987

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Sequences avoiding three-term arithmetic progressions

Published on 03 Jul 2016 - 12:28

score 2.4k · Answer 11 · 2013-05-07 00:28:02

2.4k

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I need help with proofs using mathematical induction: $2+7+12+17+...+(5n-3)=(\frac{n}{2})(5n-1)$

Published on 07 May 2013 - 0:28

score 48.9k · Answer 12 · 2013-05-14 06:15:22

48.9k

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Infinitely many primes of the form $4n+3$

Published on 14 May 2013 - 6:15

score 231 · Answer 13 · 2013-10-18 01:47:09

231

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Proof by induction that sum of terms $a_i$ with $a_i = b + i \cdot c$ is $(n+1) \frac{a_0 + a_n}{2}$

Published on 18 Oct 2013 - 1:47

score 1k · Answer 14 · 2013-11-24 23:14:23

1k

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Why arithmetic series never sums to a fraction

Published on 24 Nov 2013 - 23:14

score 9.7k · Answer 15 · 2014-01-05 07:14:42

9.7k

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Proof — Infinitely many primes of the form $4k + 3$ — origin of $4(p_1...p_k - 1) + 3$

Published on 05 Jan 2014 - 7:14

List Question

Sum of cosines with a multiplicative factor in the angle and different interval

On the existence of certain type of arithmetic progressions

Find the value of $\sum_{n=1}^k u_n$, arithmetic series

A question about arithmetic progressions and prime numbers

Validity of Arithmetic Progression

$x, y , z$ are respectively the $sines$ and $p, q, r$ are respectively the $cosines$ of the .....

For $\forall m \in \mathbb{N}, m \ge 3$ there are m elements of S in arithmetic progression.

Is there any formula to find the nth element in a sequence where common difference (d) is varying with a constant rate?

I derived a new formula related to arithmetic sequences, I think!

Sequences avoiding three-term arithmetic progressions

I need help with proofs using mathematical induction: $2+7+12+17+...+(5n-3)=(\frac{n}{2})(5n-1)$

Infinitely many primes of the form $4n+3$

Proof by induction that sum of terms $a_i$ with $a_i = b + i \cdot c$ is $(n+1) \frac{a_0 + a_n}{2}$

Why arithmetic series never sums to a fraction

Proof — Infinitely many primes of the form $4k + 3$ — origin of $4(p_1...p_k - 1) + 3$

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