摘要
在求某些离散型随机变量的数学期望时,我们会遇到一类数列的求和问题.将这类问题归纳、拓展为由两个等差数列对应项之积组成的数列的前n项的求和问题及两个等差数列、一个等比数列对应项之积组成的数列的求和问题.利用求和符号及初等数学方法得到这类问题的处理方法、结论及应用的实例.
This thesis paper is devoted to studies on the summation problem of the former terms in a sequence of numbers which is consisted of products of correspondence terms in two arithmetic progressions. It also discusses the summation problem involving a sequence of numbers which is composed of products of correspondence terms in two arithmetic progressions and one geometric series. For clarification, it also gives some applied examples.
出处
《陕西教育学院学报》
2007年第2期72-74,共3页
Journal of Shaanxi Institute of Education
基金
陕西教育学院科研基金项目(06KJ007)
关键词
数列
求和
对应项之积
a sequence of numbers
summation
the product of correspondence terms