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

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

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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Počet stran výsledku

11

Strana od-do

1-11

Název nakladatele

Univerzita obrany, Brno

Místo vydání

Brno

Místo konání akce

Brno

Datum konání akce

20. 6. 2024

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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