Question

If Erdős Conjecture on arithmetic progressions is true, and $A$ is large, then does there exist a consecutive A.P. of $A$ of length $k$ for every $k?$

score 35 · Answer 1 · 2026-02-23 05:47:43

35

Views

If Erdős Conjecture on arithmetic progressions is true, and $A$ is large, then does there exist a consecutive A.P. of $A$ of length $k$ for every $k?$

Published on 23 Feb 2026 - 5:47

score 80 · Answer 2 · 2023-12-04 22:46:21

80

Views

Is the sequence $\underbrace{2,2,...2}_{1000\text{times}}$ a harmonic sequence?

Published on 04 Dec 2023 - 22:46

score 100 · Answer 3 · 2023-12-12 02:03:46

100

Views

if $a_1,a_2...a_n $ are in AP and the first 16 terms add up to 114 , find $a_1+a_6+a_{11}+a_{16}$

Published on 12 Dec 2023 - 2:03

score 84 · Answer 4 · 2026-03-26 17:53:41

84

Views

When is the sum of reciprocals of positive integers convergent?

Published on 26 Mar 2026 - 17:53

score 164 · Answer 5 · 2023-12-24 16:18:53

164

Views

Why does $nT_n = mT_m$ imply $T_\text{n+m} = 0$?

Published on 24 Dec 2023 - 16:18

score 65 · Answer 6 · 2024-01-05 08:53:59

65

Views

Assuming all the terms of A.P. $[a_{n}]$ are integers with $a_{1}=2019$. Find number of such sequence satisfying given condition

Published on 05 Jan 2024 - 8:53

score 84 · Answer 7 · 2024-01-15 10:29:29

84

Views

Why is $\sum_{k=1}^n {ka_k} = \frac{n(n+1)}{2}\frac{(a_1+2a_n)}{3}$ where $(a_n)$ is an arithmetic progression.

Published on 15 Jan 2024 - 10:29

score 46 · Answer 8 · 2026-03-26 10:57:25

46

Views

Arithmetic-Geometric progression general integral formula

Published on 26 Mar 2026 - 10:57

score 83 · Answer 9 · 2024-01-28 14:37:58

83

Views

counting number of arithmetic sequenses of diff 1 of length of at least 2 that could be made from numbers {1,2,...,n}

Published on 28 Jan 2024 - 14:37

score 75 · Answer 10 · 2026-03-25 13:59:49

75

Views

Shifted start arithmetic progression formula why it works? $a_n=a_k+(n-k)\cdot d$

Published on 25 Mar 2026 - 13:59

score 46 · Answer 11 · 2024-02-11 01:21:49

46

Views

Question where sum of terms of an AP is a trignometric function

Published on 11 Feb 2024 - 1:21

score 119 · Answer 12 · 2024-02-18 18:59:19

119

Views

given that $a_n$ is an arithmetic sequence, and $a_{14}^2+a_{15}^2+a_{16}^2=35$, $a_{15} > 0$ find the general term of an $a_n$

Published on 18 Feb 2024 - 18:59

score 120 · Answer 13 · 2026-03-26 21:27:18

120

Views

Number of Salem–Spencer subsets of $\{1,2,3,\dots ,n\}$

Published on 26 Mar 2026 - 21:27

score 143 · Answer 14 · 2024-02-23 22:52:00

143

Views

$\mathcal S =\{ a^{x_i} + a^{x_j} + a^{x_k} \mid i,j,k \in \{1,2,3, \ldots,n \} , i+j+k=n \}$

Published on 23 Feb 2024 - 22:52

score 28 · Answer 15 · 2024-03-05 18:38:58

28

Views

If for any element's neighbors' average equals to element in sequence, it is an arithmetic progression

Published on 05 Mar 2024 - 18:38

List Question

If Erdős Conjecture on arithmetic progressions is true, and $A$ is large, then does there exist a consecutive A.P. of $A$ of length $k$ for every $k?$

Is the sequence $\underbrace{2,2,...2}_{1000\text{times}}$ a harmonic sequence?

if $a_1,a_2...a_n $ are in AP and the first 16 terms add up to 114 , find $a_1+a_6+a_{11}+a_{16}$

When is the sum of reciprocals of positive integers convergent?

Why does $nT_n = mT_m$ imply $T_\text{n+m} = 0$?

Assuming all the terms of A.P. $[a_{n}]$ are integers with $a_{1}=2019$. Find number of such sequence satisfying given condition

Why is $\sum_{k=1}^n {ka_k} = \frac{n(n+1)}{2}\frac{(a_1+2a_n)}{3}$ where $(a_n)$ is an arithmetic progression.

Arithmetic-Geometric progression general integral formula

counting number of arithmetic sequenses of diff 1 of length of at least 2 that could be made from numbers {1,2,...,n}

Shifted start arithmetic progression formula why it works? $a_n=a_k+(n-k)\cdot d$

Question where sum of terms of an AP is a trignometric function

given that $a_n$ is an arithmetic sequence, and $a_{14}^2+a_{15}^2+a_{16}^2=35$, $a_{15} > 0$ find the general term of an $a_n$

Number of Salem–Spencer subsets of $\{1,2,3,\dots ,n\}$

$\mathcal S =\{ a^{x_i} + a^{x_j} + a^{x_k} \mid i,j,k \in \{1,2,3, \ldots,n \} , i+j+k=n \}$

If for any element's neighbors' average equals to element in sequence, it is an arithmetic progression

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