Iterative method, also known as trial and error method, is a process of recursively deriving new values from the old values of variables. Corresponding to iterative method, it is direct method (or one-time solution), that is, one-time solution. Iterative method is divided into exact iterative method and approximate iterative method. "Dichotomy" and "Newton iteration method" belong to approximate iteration method. Iterative algorithm is the basic method to solve problems with computers. It makes use of the characteristics of computer's fast operation speed and suitable for repeated operation, so that the computer can repeatedly execute a set of instructions (or some steps), and every time this set of instructions (or these steps) is executed, the new value of a variable is deduced from its original value.

Mainly used in computer programming, rarely used in high school mathematics.

If the sequence appears many times, it is recursive thinking.

Like Fibonacci series.

0, 1, 1,2,3,5,8.。 . . . . . . .

Rarely check

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