Have you ever wondered what is the relationship between the arithmetic mean and the geometric mean of two numbers? Or you have probably heard some theorems about their relationship. In this post, we are going to see that their relationship is really very easy to imagine if represented geometrically. The arithmetic mean of two numbers […]

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# Posts tagged with 'arithmetic mean'

## Arithmetic Mean Proof

In this post, we show that if and are real numbers and is less than , then their arithmetic mean is greater than . That is, implies . Proof 1: Direct Proof We know that . Dividing both sides by 2, we have . Adding to both sides results to

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