在2015年高考数学试题中,有7道数列试题就是“差比型”(等差数列和等比数列的乘积构成的新数列)数列的求和,本文试图从解法的角度来探究.一、试题展示(2015年高考湖北,理18)设等差数列{a_n}的公差为d,前n项和为S_n,等比数列{b_n}的公比为q.已知b_1=a_1,b_2=2,q=d,S_(10)=100.(Ⅰ)求数列{a_n},{b_n}的通项公式; In the 2015 college entrance examination math test, there are seven numerical test questions is the sum of the sequence of “difference ratio ” (the new series formed by the product of the arithmetic sequence and the geometric sequence). This article tries to explore from the perspective of solution. First, the test questions show (2015 college entrance examination in Hubei, Li 18) set the tolerance of the differential column {a_n} the d, the first n and for S_n, the geometric ratio of equal to {b_n} is q known b_1 = a_1, b_2 = 2, q = d, S_ (10) = 100. (I) Find the general formulas of the {a_n} and {b_n}