Arithmetic Means

Arithmetic Means

How to find the arithmetic means: example and its solution.

Example

Find the three arithmetic means between 7 and 23.

Arithmetic means are the terms
that form an arithmetic sequence
with the boundary terms.

Write 7, three blanks, and 23.

The values of the blanks are
7 + d, 7 + 2d, and 7 + 3d.

So 23 = 7 + 4d.

Arithmetic sequences

7 + 4d = 23

So d = 4.

Find the values of the blanks.

(1st blank) = 7 + 4 = 11
(2nd blank) = 11 + 4 = 15
(3rd blank) = 15 + 4 = 19

So the arithmetic means are 11, 15, and 19.