Solve the Problem $\bar { x } = \frac { c + d } { 2 }$

Solve the problem.
-The arithmetic mean (average) of two numbers c and d is given by $\bar { x } = \frac { c + d } { 2 }$ . The value $\bar { x }$ is equidistant between c and d, so the sequence $c , x , d$ is an arithmetic sequence. Inserting k equally
Spaced values between c and d, yields the arithmetic sequence c, $\bar { x } _ { 1 } , \bar { x } _ { 2 } , \bar { x } _ { 3 } , \bar { x } _ { 4 } , \ldots , \bar { x } _ { n }$ , d. Use this
Information to insert five means between 22 and 70

A) The five arithmetic means between 22 and 70 are 30, 38, 46, 54, and 62.
B) The arithmetic mean of 22 and 70 is 46.
C) The common difference is 24.
D) The common difference is 8.