3数学基础知识与典型例题复习--数列（3 mathematical basic knowledge and typical examples review - Series）.docVIP

3数学基础知识与典型例题复习--数列（3 mathematical basic knowledge and typical examples review - Series） The basic knowledge of mathematics and a typical example The third chapter series series The relationship between the 1. and the sequence {} general term: Methods: 2. series summation formula, split elimination, dislocation subtraction, reverse sum method etc.. The key is to find a sequence structure. 1. cases of known sequence before the N and as a general formula for the series. 2. cases of known, and pray. 3. cases of known, and pray. 4. cases of summation. 5. cases of the series 1,3,5,7,..., (2n1) + N and Sn before, Sn equals () (A) N2+1 (B) 2n2n+1 (C) N2+1 (D) N2n+1 6. cases of summation. Arithmetic and geometric series Arithmetic sequence Geometric progression Definition (constant) Recursive formula () () The general formula () The item () () And the Important properties 2 The arithmetic sequence extraction distance in an array is an arithmetic sequence. Such as: (subscript an arithmetic progression) 2 From the geometric series in extraction distance a composition series is a geometric series. Such as: (subscript an arithmetic progression) Proof method Methods of proving a series of arithmetic progression: 1. definition of law The 2. item method Proof of a series of geometric progression method: 1. definition of law The 2. item method A skill element Three arithmetic: Quaternion arithmetic: A few geometric: Four geometric: contact Integral geometric, logarithmic arithmetic; index arithmetic, geometric power value. The key to grasp the general formula and before the N and formula for nature is mainly to understand (that he could use specific derived), can be flexible. Especially the method of using the derivation process, is an attempt to study other sequence. If we are arithmetic formulasequence tired difference method and deduced geometric formulasequence accumulation method, is a kind of experience we find other formulasequence. Another example is the arithmetic progressi