A note on the sums of reciprocal k-Fibonacci numbers of subscript
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 9, Issue 1
Abstract
In this article we find the fïnite sum of reciprocal k-Fibonacci numbers of subscript 2n a, then we fïnd the infinite sum of these numbers. Special cases of these sums for the classical Fibonacci sequence and the Pell sequence are indicated. Finally we propose a new way to fïnd the infinite sum of the reciprocal k-Fibonacci numbers with odd subscripts and, consequently, the sum of all reciprocal k-Fibonacci numbers, but without finding the answer to this problem (Erdos).
Authors and Affiliations
Sergio Falcon
Keywords
Related Articles
- EP ID EP651370
- DOI 10.24297/jam.v9i1.2463
- Views 172
- Downloads 0
The product Nystr–m method and Volterra-Hammerstien Integral Equation with A Generalized Singular Kernel
In this work, the existence of a unique solution of Volterra-Hammerstein integral equation of the second kind (V-HIESK) is discussed. The Volterra integral term (VIT) is considered in time with a continuous kernel, while...
Semi-rough Connected Topologized Approximation Spaces
The topological view for connectedness is more general and is applied for topologieson discrete sets. Rough thinking is one of the topological connections to uncertainty. The purpose of this paper is to introduce connect...
Effects of Gravity Modulation and Internal Heat Generation on the onset of Rayleigh-Benard convection in a Micropolar Fluid
The effect of gravity modulation (time periodic body force or g-jitter) on the onset of Rayleigh-Bénard convection in a micropolar fluid with internal heat generation is investigated by making a linear stability analysi...
Approximation of General Form for a Sequence of Linear Positive Operators Based on Four Parameters
In the present paper, we define a generalization sequence of linear positive operators based on four parameters which is reduce to many other sequences of summation–integral older type operators of any weight function (B...
Using Particle Swarm Optimization to Determine the Optimal Strata Boundaries
Stratified random sampling is a commonly used sampling methodology especially for heterogeneous populations with outliers. Stratified sampling is preferably employed due to its capability of improving statistical precisi...