The split term method is a method to decompose a polynomial or equation into several smaller parts, thus making the problem easier to solve. In the split term method, the basic formula is an=nan-nan- 1, where an represents the nth term of the original polynomial, nan- 1 represents the nth term of the original polynomial, and nan represents the nth term obtained after decomposition.
The principle of this formula is to split each term of the original polynomial into the difference of two smaller terms, that is, an=nan-nan- 1. In this way, a complex polynomial can be decomposed into several simple subproblems, thus simplifying the solution process of the problem.
In practical application, the split term method is widely used to solve various mathematical problems, such as series summation, equation solving, function calculation and so on. For example, when we need to solve the sum of the first n terms of a arithmetic progression, we can split each term into the difference of two tolerance terms by the split term method, and then calculate it through the properties of arithmetic progression.
The split term method can also be used to solve some complex polynomial equations, such as higher-order equations. By decomposing each term in the equation into the difference of two smaller terms, we can transform the high-order equation into several low-order equations, thus solving them more easily.
Skills of learning mathematics:
1, understand mathematical concepts
Mathematics is a conceptual subject, so learning mathematics must first understand mathematical concepts. Students should read more, think more and practice more to deepen their understanding of mathematical concepts, especially some abstract concepts, which need to be understood through repeated example exercises.
Step 2 Practice solving problems
Mathematics is a practical subject, and it takes a lot of practice to master problem-solving skills. Students can choose some classic math problems to practice, and pay attention to the summary and induction of solving ideas, methods and steps in the process of solving problems. Students can also improve their problem-solving ability through some math competitions and interesting math games.
3. Establish mathematical thinking.
Mathematics is a logic subject, which needs to establish mathematical thinking. Students can cultivate their own mathematical thinking through some classic mathematical problems, such as geometry, algebra, probability and other topics. Students can also exercise their mathematical thinking ability by participating in mathematical societies and mathematical modeling competitions.