Question

the realtion between airtmetic mean and geometric mean​

Answer 1

Answer:

Arithmetic Mean is the average of two given numbers. If we have two numbers a and b, then we can include a number A in between these numbers so that the three numbers will form an arithmetic sequence like a, A, b.

Here the number A is the arithmetic mean of the numbers a and b.

According to the property of Arithmetic progression, we can say that-

A – a = b – A  that is, the common difference ‘d’ of the given AP.

This is generally used to find the missing number of the sequence between the two given numbers.The arithmetic mean serves as the balancing point of the two given numbers.

Example

What is the Arithmetic mean of 4 and 16 ?

Given

a = 4

b = 16

So the Arithmetic mean will be



Hence the AP is 10.