$\"\"$

\

The nth term of an arithmetic sequence is $\"\"$ ,

\

Where $\"\"$ = First term of the sequence and d = common difference.

\

The sequence three arithmetic means between 44 and 92.

\

The sequence is $\"\"$ , then $\"\"$ .

\

$\"\"$ (Substitute $\"\"$ )

\

$\"\"$ (Substitute $\"\"$ )

\

$\"\"$ (Subtract: $\"\"$ ) $\"\"$

\

Subtract 44 from each side.

\

$\"\"$

\

$\"\"$ (Subtract: $\"\"$ )

\

Divide each side by 4.

\

$\"\"$

\

d = 12 (Divide: $\"\"$ ) $\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ $\"\"$

\

The arithmetic means are 56, 68 and 80.