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《中学数学教学参考》2 0 0 2年第5期刊登了关于等差数列前n项和比值的两类问题,作者推导了解决这两类问题的几个定理,并且运用它们解决了两个例题.笔者认为,这两类问题可以通过等差数列的通项公式与前n项和公式的结构特征来解决.设{an}为等差数列,首项为a1 ,公差为d,则an=a1 +
In the second issue of Mathematics Teaching Reference for Secondary School in 2000, two questions about the first n items and ratios of arithmetic progressions were published. The authors deduced several theorems to solve these two types of problems and used them to solve two problems. In the author’s opinion, these two types of problems can be solved by the general formula of arithmetic series, the first n terms, and the structural features of the formula. Let {an} be the arithmetic series, the first one be a1, and the tolerance is d. =a1 +