TY - JOUR
ID - 34323
TI - A Class of Convergent Series with Golden Ratio Based on Fibonacci Sequence
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Ebadi, Moosa
AU - Soltanpour, Farnaz
AD - Department of Mathematics, University of Farhangian, Tehran, Iran.
Y1 - 2019
PY - 2019
VL - 13
IS - 1
SP - 115
EP - 127
KW - Fibonacci numbers
KW - Golden Ratio
KW - Convergence analysis
DO - 10.22130/scma.2018.62087.231
N2 - 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.
UR - https://scma.maragheh.ac.ir/article_34323.html
L1 - https://scma.maragheh.ac.ir/article_34323_062ea721f5f1adbe65dd5025387cba8d.pdf
ER -