广义Fibonacci数列的若干和公式  

Some Summation Formulas of Generalized Fibonacci Sequence

作　　者：曾文建[1] ZENG Wen-jian(Department of Basic Sciences Teaching,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）》2021年第4期285-287,共3页Journal of Eastern Liaoning University:Natural Science Edition

摘　　要：研究广义Fibonacci数的求和,运用其递推关系和性质,推得∑^(n)_(i=1)b^(ki)F_(i)、∑^(n)_(i=1)b_(ki)F_(i)^(2)、∑_(i=1)^(n)b^(ki)F_(i)^( 3)等和式,得到一些新的求和公式。The summation of generalized Fibonacci numbers was studied.By using their recurrence relations and properties,the expressions such as ∑^(n)_(i=1)b^(ki)F_(i)、∑^(n)_(i=1)b_(ki)F_(i)^(2)、∑_(i=1)^(n)b^(ki)F_(i)^( 3) were derived,by which some new summation formulas are obtained.

关 键 词：广义FIBONACCI数列 递推关系 和公式 

分 类 号：O157[理学—数学]