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等差数列通项公式a_n＝a_1＋(n－1)d可以写成a_n＝kn＋b(n∈N~N)的形式,这是关于n的一次函数,与直线方程形式一致,仅定义域不同,那么直线上的定比分点公式在等差数列中是否成立呢?下面给出相应的命题并进行证明。
Equal-difference series general term a_n=a_1+(n-1)d can be written in the form of a_n=kn+b(n∈N~N). This is a linear function of n, which is consistent with the form of a straight line equation. Only the domain is defined differently. Whether the formula of the fixed point score on the straight line is established in the arithmetic progression? The following propositions are given and proved.