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Question

How to find the number of arithmetic means between two numbers?

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Solution

The arithmetic mean between two numbers is defined to be the sum of numbers divided by the quantity of numbers. Likewise, in a collection, the arithmetic mean is defined to be the sum of the collection of numbers divided by the number of numbers present in the collection.

Another term that is closely associated with arithmetic mean is arithmetic progression. While arithmetic mean is abbreviated as A.M., arithmetic progression is abbreviated as A.P. If three terms are in A.P., then the middle term is called the arithmetic mean (A.M.) between the other two. Mathematically, we can say that

If a, b, c are in A.P. then b = (a+c)/2 is the A.M. of a and c.



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