Bi-Periodic Pell Sequence

S Uygun,H Karataş

doi:10.32861/ajams.67.136.144

Abstract

In this study, we introduce a new generalization of the Pell numbers which is called bi-periodic Pell sequences. We then proceed to find the Binet formula as well as the generating function for this sequence. The well-known Cassini, Catalan and the D’ocagne’s identities as well as some related binomial summation and sum formulas are also given. The convergence properties of the consecutive terms of this sequence is also examined.

Highlights

Data with large observations, depending on the nature and depth of the inquiry, are often generated in all areas of human endeavor such as business, sports, academic institutions, research institutions, internet services etc [1,2,3,4]
Understanding of many instructors of introductory statistics classes are: mean cannot be graphically determined and numerical approach is more precise than geometrical technique
We make known that mathematical formulas for mean, median and mode were derived geometrically

Summary

Introduction

Data with large observations, depending on the nature and depth of the inquiry, are often generated in all areas of human endeavor such as business, sports, academic institutions, research institutions, internet services etc [1,2,3,4]. Representative in the sense that, the single number wholly summarizes or mirrors with relatively high precision, the characteristics of interest in the entire observations. Such representative number could be a central value for all the observations. Measures of central tendency is the study of dataset cluster around the central value popularly called average [7, 8]

Objectives

Methods

Conclusion