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数列求和问题,一直都是高考考查的热点,相关题型千变万化,精彩纷呈,让人目不暇接,其中利用“错位相减法”与“裂项相消法”求解的两类求和问题尤为突出.但利用错位相减法求解时,繁琐运算有时总使人望而却步;利用裂项相消法求解时,剩余若干项有时常叫人丢三落四.结合2013年的高考题介绍“构造常数列”的办法,来解决这两类问题,以藉读者.类型一、可利用“错位相减法”求解的数列
The problem of summation of series has always been the hot spot for college entrance examination examinations. The related questions are ever-changing and exciting, making people dizzying. Two kinds of sums are solved by using the method of “dislocation subtraction” and “fission cancellation” The problem is particularly prominent.However, the use of dislocation subtraction method to solve, cumbersome computing sometimes always prohibitive; the use of split-phase method to solve, the remaining number of sometimes often make people forgetful. Combined with the 2013 entrance examination introduction “Approach to solve these two types of problems, in order to borrow readers. Type one, can use ” dislocation subtraction method "to solve the sequence