Application Of Difference Method To Solve Recursion Sequence Of Numbers Problem In Teaching

Sequence is the carrier of which a lot of important mathematical thought and method to be,as a discrete function model,not only has the nature of function,but also has its own unique recurrence relations,and other knowledge are more closely linked,all these decide that in the high school mathematics plays a very important role.In recent years the College Entrance Examination Mathematics Test question,basically appears every year sequence question,at the same time it is also one of the hot spots of Mathematics Competition.So the teaching study of high school Number sequence has already become the mathematics College Entrance Examination Mathematics and Mathematics Competition in the research of education and teaching is one of the important content.The question of Number sequence usually refers to seek its formula for the general term of a number sequence or seek sum of a number sequence. Although research in this area has made great achievements, but the application of difference equation method to teaching progression undertake comparative comprehensive research is very few. In view of this, this article in the series of teaching research on the basis of summarizing, from another point of view, to use the difference equation method for the tool, using difference equation method onto the teaching of Number sequence made more comprehensive study.Focus on: Difference equation method the basic theory and its application in sequence analysis using the theory of difference equations and Number sequence commonly used methods,made a comparative study,for recursive sequence of number question, put forward two in solution sequence question on relationship, and obtains the certain enlightenment to teaching Finally,on how to teaching the application of difference equation method to solve the Number sequence questions,give some suggestions about the problem solving strategy and teaching strategy.