摘要
不论是等差数列还是等比数列,其通项公式通常都只有一种形式,而它们的前n项和公式却有两种形式,故此在使用上就比较灵活。利用推理和数学归纳法证明出了等差数列和等比数列通项公式的另一种形式,并通过例题说明其用法,从而使得其通项公式在使用上更加简捷、灵活。
Both a grade ordered series of numbers and a rate ordered series of numbers are normally considered to have only one form for their general term formula. But there are two forms for the sum formula of their first N items, which makes it more flexible in use. This article demonstrates that there exists another form for the general term formula of a grade and a rate ordered series of numbers, by means of inference and mathematics induction. The article also gives examples to illustrate the usage and therefore make it easier and more flexible in the use of the general term formula.
出处
《北京工业职业技术学院学报》
2002年第2期40-42,共3页
Journal of Beijing Polytechnic College
关键词
数列
通项公式
应用
an ordered series of numbers
general formula
in use