# Arithmetic Means

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

## Example

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 + 2*d*, and 7 + 3*d*.

So 23 = 7 + 4*d*.

Arithmetic sequences

7 + 4*d* = 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.