sequences

👨🏻‍🏫 學術台數學

[匿名]

2007-10-07 8:28 am

Show that the arithmetic mean is always greater than or equal to the geometric mean. When can they be equal?

回答 (1)

用戶127502

2007-10-07 12:27 pm

✔ 最佳答案

http://en.wikipedia.org/wiki/Inequality_of_arithmetic_and_geometric_means

Proof by Induction is the most accessible one.

The equality holds when all the entries are equal.

👍 0 👎 0