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

question 134

Multiple Choice

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.

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