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数列是高中数学的重要内容之一,而求数列的通项公式又是研究和探讨数列问题的重要渠道.通项公式给出了数列{an}中第n项an与项数n之间的函数关系.对于一个数列,特别是无穷数列来说,通项公式对认识这个数列起到关键作用,掌握数列通项公式的求法,有助于学生理解和掌握数列的相关知识、加强知识的横向联系、促进对知识的进一步掌握;有助于培养学生的创造力、观察力和思维能力,提高学生学习数学的兴趣.本文通过具体实例对求数列通项公式的方法加以归纳整理.
The number sequence is one of the important contents of high school mathematics, and the general formula of the number sequence is an important channel to study and explore the sequence of numbers. The general formula gives the number an {n} For a series of numbers, especially the infinite series, the general formula for understanding this series plays a key role in mastering the sequence of formulas to help students understand and grasp the relevant knowledge of the series, to enhance the horizontal knowledge Contact and promote the further mastery of knowledge; help to develop students ’creativity, observation and thinking ability, improve students’ interest in learning mathematics.This paper summarizes the method of seeking the formula of the general formula through concrete examples.