一类新的广义Fibonacci数列的通项和性质  

General Term and Properties of A New Generalized Fibonacci Sequence

作　　者：曾文建[1] ZENG Wen-jian(Department of Basic Education,Fujian Polytechnic of Information Technology,Fuzhou 350007,China)

机构地区：[1]福建信息职业技术学院基础教学部,福建福州350007

出　　处：《辽东学院学报（自然科学版）》2022年第2期137-140,共4页Journal of Eastern Liaoning University:Natural Science Edition

摘　　要：给出广义Fibonacci数列的一种推广,利用矩阵和递推关系,推得其通项公式的表达式,并进一步得到5个性质和4个和公式,从而推广了广义Fibonacci数列的相关结论。A generalization of generalized Fibonacci sequence is given.By using matrix and recursive relation,the author deduces the expression of general term formula and obtains five properties and four sum formulas.Accordingly,the related conclusions of generalized Fibonacci sequence are generalized.

关 键 词：广义FIBONACCI数列 矩阵 递推关系 通项公式 

分 类 号：O157[理学—数学]