笔者翻阅了2012年高考数学试卷,发现其中绝大部分数列试题还是陈旧而常规的,但也有几道有点意思的创新题,其反映出的“新意”对同学们的备考非常具有指导意义.本文将这几道创新题的巧解及内涵整理成文,供大家参考.例1(全国新课标理科卷)已知数列{a_n)满足a_(n+1)+(-1)~na_n=2_n-1,则{a_n}的前60项和为__.解令n=2k,则a_(2k+1)+a_(2k)=4k-1.① The author read the 2012 college entrance examination mathematics papers and found that most of the series of questions is outdated and conventional, but there are also a few interesting innovations, which reflect the “new ideas” is very instructive for students’ pro forma In this paper, we put together the ingenuity and connotation of these innovations, for your reference.Example 1 (National New Curriculum Science Volume) The known sequence {a_n) satisfies a_ (n + 1) + (- 1) ~ na_n = 2_n-1, then a_ (2k + 1) + a_ (2k) = 4k-1 for the first 60 terms of {a_n}