多个正数的算术,几何及调和平均数递推数列的极限和可视化

The Limits and Visualizations of Multiple Positive Arithmetic, Geometry and Harmonic Averages of Numbers Recursive Series

根据两个正数的几何平均数递推数列极限的求法,推导了多个正数的几何平均数递推数列极限的一般公式,同时还推导了多个正数的算术平均数递推数列极限以及调和平均数递推数列极限的一般公式,并且应用MATLAB可视化验证了公式的正确性.

Based on the method of calculating the limit of the geometric average of two positive numbers,the recursive number of geometric averages of multiple positive numbers is deduced.The general formula of column limit,at the same time,the general formula of arithmetic mean recursive series limit of multiple positive numbers and the limit of harmonic average recursive series are deduced,and MATLAB visualization is used to verify the correctness of the formula.