Телескопічний ряд

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Телескопічний ряд

Quality:

Telescoping series - series whose partial sums eventually only have a fixed number of terms after cancellation. Article "Телескопічний ряд" in Ukrainian Wikipedia has 2.6 points for quality (as of July 1, 2025). The article contains 0 references and 2 sections.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that language version.

Since the creation of article "Телескопічний ряд", its content was written by 5 registered users of Ukrainian Wikipedia and edited by 229 registered Wikipedia users in all languages.

The article is cited 6 times in Ukrainian Wikipedia and cited 601 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Ukrainian): #4835 in October 2013
  • Global: #75635 in March 2004

The highest popularity rank from 2008:

  • Local (Ukrainian): #103555 in April 2015
  • Global: #138894 in November 2017

There are 21 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Telescoping series
23.5379
2Dutch (nl)
Telescoopsom
23.3762
3Greek (el)
Τηλεσκοπική σειρά
22.9645
4Hindi (hi)
अंतःसर्पी श्रेणी
21.7342
5Galician (gl)
Serie telescópica
21.0541
6Chinese (zh)
裂項和
20.119
7Catalan (ca)
Sèrie telescòpica
16.5681
8Arabic (ar)
متسلسلة متداخلة
13.1954
9Spanish (es)
Serie telescópica
12.9073
10Portuguese (pt)
Soma telescópica
11.2709
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Телескопічний ряд" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Telescoping series
840 371
2German (de)
Teleskopsumme
262 893
3French (fr)
Somme télescopique
194 756
4Spanish (es)
Serie telescópica
160 563
5Italian (it)
Serie telescopica
129 922
6Portuguese (pt)
Soma telescópica
78 848
7Russian (ru)
Телескопический ряд
51 196
8Chinese (zh)
裂項和
47 557
9Korean (ko)
망원급수
21 218
10Japanese (ja)
畳み込み級数
17 476
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Телескопічний ряд" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Telescoping series
2 800
2French (fr)
Somme télescopique
701
3Spanish (es)
Serie telescópica
519
4German (de)
Teleskopsumme
513
5Russian (ru)
Телескопический ряд
285
6Italian (it)
Serie telescopica
266
7Chinese (zh)
裂項和
259
8Portuguese (pt)
Soma telescópica
221
9Japanese (ja)
畳み込み級数
144
10Korean (ko)
망원급수
79
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Телескопічний ряд" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Telescoping series
59
2German (de)
Teleskopsumme
34
3French (fr)
Somme télescopique
26
4Italian (it)
Serie telescopica
23
5Russian (ru)
Телескопический ряд
12
6Chinese (zh)
裂項和
11
7Portuguese (pt)
Soma telescópica
10
8Swedish (sv)
Teleskoperande serie
9
9Hindi (hi)
अंतःसर्पी श्रेणी
7
10Japanese (ja)
畳み込み級数
7
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Телескопічний ряд" with the highest AI in June 2025
#LanguageAI awardRelative AI
1French (fr)
Somme télescopique
2
2Italian (it)
Serie telescopica
1
3Arabic (ar)
متسلسلة متداخلة
0
4Catalan (ca)
Sèrie telescòpica
0
5German (de)
Teleskopsumme
0
6Greek (el)
Τηλεσκοπική σειρά
0
7English (en)
Telescoping series
0
8Spanish (es)
Serie telescópica
0
9Basque (eu)
Serie teleskopiko
0
10Galician (gl)
Serie telescópica
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Телескопічний ряд" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Telescoping series
202
2Arabic (ar)
متسلسلة متداخلة
136
3Italian (it)
Serie telescopica
50
4Korean (ko)
망원급수
35
5French (fr)
Somme télescopique
34
6German (de)
Teleskopsumme
21
7Swedish (sv)
Teleskoperande serie
19
8Russian (ru)
Телескопический ряд
17
9Vietnamese (vi)
Chuỗi lồng nhau
16
10Chinese (zh)
裂項和
14
More...

Scores

Estimated value for Wikipedia:
Ukrainian:
Global:
Popularity in June 2025:
Ukrainian:
Global:
Popularity in all years:
Ukrainian:
Global:
Authors in June 2025:
Ukrainian:
Global:
Registered authors in all years:
Ukrainian:
Global:
Citations:
Ukrainian:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
متسلسلة متداخلة
caCatalan
Sèrie telescòpica
deGerman
Teleskopsumme
elGreek
Τηλεσκοπική σειρά
enEnglish
Telescoping series
esSpanish
Serie telescópica
euBasque
Serie teleskopiko
frFrench
Somme télescopique
glGalician
Serie telescópica
hiHindi
अंतःसर्पी श्रेणी
huHungarian
Teleszkopikus összeg
itItalian
Serie telescopica
jaJapanese
畳み込み級数
koKorean
망원급수
nlDutch
Telescoopsom
ptPortuguese
Soma telescópica
ruRussian
Телескопический ряд
svSwedish
Teleskoperande serie
ukUkrainian
Телескопічний ряд
viVietnamese
Chuỗi lồng nhau
zhChinese
裂項和

Popularity rank trends

Best Rank Ukrainian:
#103555
04.2015
Global:
#138894
11.2017

AI rank trends

Best Rank Ukrainian:
#4835
10.2013
Global:
#75635
03.2004

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Telescoping series from Wikipedia articles about Harmonic series, Fundamental theorem of calculus, Wikipedia article, Series and Grandis series. Whereas reading the article about Telescoping series people most often go to Wikipedia articles on Pronic number, Evangelista Torricelli, Divergence of the sum of the reciprocals of the primes, Harmonic number and Partial fraction decomposition.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 12 August 2025

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

In Ukrainian Wikipedia the most popular articles on that day were: Забарний Ілля Борисович, Аляска, Анкоридж (Аляска), Макс Корж, Венздей (2-й сезон), 1-й корпус НГУ «Азов», День молоді (Україна), Волинська трагедія, Кріштіану Роналду, Україна.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information