数列通项公式的求解是数列中的重点内容,而已知递推关系求数列的通项公式又是求数列通项公式的重点。由数列递推式求通项公式的主要思想是化归转换的思想,即通过适当的变形,转化成等差数列或等比数列,从而达到化陌生为熟悉的目的。本文通过对一道递推数列问题的多视角求解,来体会这一思想。1试题呈现 The solution to the general formula of sequence is the key content in the series, and the formula of general formula of known sequence of recurrence is the key to formulate the general formula of the sequence. Recursion by the sequence formula to find the main idea is converted to the idea of ​​conversion, that is, through the appropriate deformation into equal-difference series or geometric series, so as to achieve the familiar familiar with the goal. This article understands this idea through a multi-perspective solution to a recursion sequence problem. 1 questions presented