问题描述: 数列(an)各项的倒数组成一个等差数列,若a5=√2-1,a7=√2+1,求a3 1个回答 分类:数学 2014-12-12 问题解答: 我来补答 1/an = 1/a1 + (n-1)dn=51/a5 = 1/a1 + 4d1/(√2-1) = 1/a1 + 4d (1)n=7 1/a7 = 1/a1 + 6d1/(√2+1) = 1/a1 + 6d (2)2(1) - (2)a3=1/a1 + 2d = 2/(√2-1) - 1/(√2+1)= √2+3 再问: 谢谢啦 展开全文阅读