Sequence is an important content of high school mathematics and the basis of learning advanced mathematics. The examination of the College Entrance Examination is comprehensive, and the examination of arithmetic progression and geometric progression will not be missed every year. The test questions about series are often comprehensive questions, which often combine the knowledge of series with the knowledge of exponential function, logarithmic function and inequality. The test questions often combine arithmetic progression, geometric progression, seeking limit and mathematical induction. Inquiry problem is a hot spot in the college entrance examination, which often appears when solving the problem of sequence. The topic also contains rich mathematical ideas. In the subjective questions, important ideas such as function and equation, transformation and reduction, classified discussion, and basic mathematical methods such as collocation method, method of substitution method and undetermined coefficient method are emphasized.