# Arithmetic Means

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

## Example

Arithmetic means are the terms

between the given terms

that form an arithmetic sequence.

To find the three arithmetic means between 7 and 23,

write 7, three blanks, and 23.

These five terms are an arithmetic sequence.

Set the common difference as *d*.

Then the first blank is 7 + *d*.

The second blank is 7 + 2*d*.

The third blank is 7 + 3*d*.

And 23 is 7 + 4*d*.

Arithmetic sequences

23 is 7 + 4*d*.

So 7 + 4*d* = 23.

Move 7 to the right side.

Then 4*d* = 16.

Divide both sides by 4.

Then *d* = 4.

*d* = 4

To find the values of the blanks,

start from 7

and add +4.

The first blank is, 7 + 4, 11.

The second blank is, 11 + 4, 15.

And the third blank is, 15 + 4, 19.

19 + 4 is 23,

which is the last term.

So you found the right terms.

So the three arithmetic means are

11, 15, and 19.