七上数学开学预习【找规律公式】汇总

七上数学开学预习【找规律公式】汇总

  • 简介

    一、等差数列 1,3,5,7,9,11,...,2n-1(n为正整数) 2,4,6,8,10,12,.,2n(n为正整数) 5,8,11,14,17,20,...,3n+2(n为正整数) 二、等比数列 2,4,8,16,32,64,..,2n(n为正整数) 1,2,4,8,16,32,..,2n-1(n为正整数) 3,5,9,17,33,65,...,2n+1(n为正整数) 三、平方数列及衍生数列 1,4,9,16,25,36,..,n2(n为正整数) 2,5,10,17,26,37,...,n2+1(n为正整数) 0,3,8,15,24,35,...,n2-1(n为正整数) 四、三角数列及行生数列 1,3,6,10,15,21,...,n(n+1)/2(n为正整数) 2,6,12,20,30,42,...,n(n+1)(n为正整数) 五、符号数列 -1,+1,-1,+1,-1,+1,...,(-1)n(n为正整数) +1,-1,+1,-1,+1,-1,..,(-1)n+1(n为正整数) 六、幂的规律 2,4,8,16,32...2n(n为正整数) 3,9,27,81,243...3n(n为正整数) 七、常用求和公式 1+2+3...+n=n(n+1)2 1+3+5+7+9+...+2n-1=n² 八、平方规律 0,3,8,15,24,35......n2-1 1,4,9,16,25,36......n² 2,5,10,17,26,37......n2+1 4,9,16,25,36,......(n+1)² 0,1,4,9,16,25,......(n-1)2

七上数学开学预习【找规律公式】汇总