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20 0 4年高考数学 (江苏卷 )第 2 0题 :设无穷等差数列 {an}的前n项和为Sn.(Ⅰ )若首项a1 =32 ,公差d=1,求满足Sk2 =(Sk) 2 的正整数k ;(Ⅱ )求所有的无穷等差数列 {an},使得对一切正整数k都有Sk2 =(Sk) 2 成立 .此题主要考查数列的基本知识 ,以及运用数学知识分析问题和解决问
Mathematics of the college entrance examination in 2004 (Jiangsu vol.) Item 20: Let the first n terms of the infinite series {an} be Sn(I) If the first term a1 =32, the tolerance d=1, and satisfy Sk2 = (Sk) The positive integer k of 2; (II) Find all the infinite series {an} such that Sk2 = (Sk) 2 holds for all positive integers k. This question mainly examines the basic knowledge of the sequence and its application. Mathematical knowledge analysis problems and solutions