一、错误应用等差或等比数列的性质例1等差数列{a_n)中,已知a_1=2,a_9=6,则a_(10)=_______.错解:a_(10)=a_1+a_9=8.错误分析:此处是错误应用等差数列性质:若m+n=p+q,则a_m+a_n=a_p+a_q,只注意到序号的和要相等,未注意到等式两边的项的个数要相等.要避免这种错误,应从深刻认识这个性质人手.利用基本元素法有:a_m+a_n=2a_1 First, the wrong application of equal or equal to the nature of the sequence Example 1 equal difference sequence {a_n), known a_1 = 2, a_9 = 6, then a_ (10) = _______. Misconstructed: a_ (10) = a_1 + a_9 = 8. Error Analysis: Here is the wrong application of the arithmetic sequence of columns: If m + n = p + q, then a_m + a_n = a_p + a_q, only pay attention to the sum of the serial numbers are equal, Of the number of items to be equal.To avoid this error, should have a profound understanding of the nature of manpower.Using the basic elements of the law are: a_m + a_n = 2a_1