A Class of Convergent Series with Golden Ratio Based on Fibonacci Sequence
عنوان مقاله: A Class of Convergent Series with Golden Ratio Based on Fibonacci Sequence
شناسه ملی مقاله: JR_SCMA-13-1_009
منتشر شده در شماره 1 دوره 13 فصل در سال 1398
شناسه ملی مقاله: JR_SCMA-13-1_009
منتشر شده در شماره 1 دوره 13 فصل در سال 1398
مشخصات نویسندگان مقاله:
Moosa Ebadi - Department of Mathematics, University of Farhangian, Tehran, Iran.
Farnaz Soltanpour - Department of Mathematics, University of Farhangian, Tehran, Iran.
خلاصه مقاله:
Moosa Ebadi - Department of Mathematics, University of Farhangian, Tehran, Iran.
Farnaz Soltanpour - Department of Mathematics, University of Farhangian, Tehran, Iran.
In this article, a class of convergent series based on Fibonacci sequence is introduced for which there is a golden ratio (i.e. $frac{1+sqrt 5}{2}),$ with respect to convergence analysis. A class of sequences are at first built using two consecutive numbers of Fibonacci sequence and, therefore, new sequences have been used in order to introduce a new class of series. All properties of the sequences and related series are illustrated in the work by providing the details including sequences formula, related theorems, proofs and convergence analysis of the series.
کلمات کلیدی: Fibonacci numbers, Golden Ratio, Convergence analysis
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/892039/