The Series of the Reciprocals of the Odd Fibonacci Numbers Modified by Plus One and Minus One

Result code in IS VaVaI
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Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
The Series of the Reciprocals of the Odd Fibonacci Numbers Modified by Plus One and Minus One
Original language description
This paper is inspired by interesting YouTube videos dealing with one particular type of Fibonacci series. The author of the first video is Michael Penn, professor of mathematics at Randolph College in Virginia, USA, who devotes himself to the popularization of mathematics in addition to his teaching and scientific work. The author of the second video is Kamaal Mirza, teacher of mathematics at University of Punjab, Pakistan. First, we deal with the series of the reciprocals of the odd Fibonacci numbers modified by plus one, which is the topic of both videos. We derive its sum by means of the golden ratio. Then we deal with the series of the reciprocals of the odd Fibonacci numbers modified by minus one and derive its sum also by means of the golden ratio. Both derived formulas for the sums are an example of a simple sum of the series of the reciprocals of the Fibonacci numbers.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Matematika, informační technologie a aplikované vědy (MITAV 2024)
ISBN
978-80-7582-493-6
ISSN
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e-ISSN
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Number of pages
11
Pages from-to
1-11
Publisher name
Univerzita obrany, Brno
Place of publication
Brno
Event location
Brno
Event date
Jun 20, 2024
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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