Insert four arithmetic means between -8 and 17.
A) $\quad - 3,3,8,13$
B) $\quad 4,9,14,19$
C) $- 3,2,7,12$
D) $- 7 , - 6 , - 5 , - 4$
E) $0,1,2,3$

Question

Insert four arithmetic means between -8 and 17. 
A) $\quad - 3,3,8,13$
B) $\quad 4,9,14,19$
C) $- 3,2,7,12$
D) $- 7 , - 6 , - 5 , - 4$
E) $0,1,2,3$

Quizplus · Accepted Answer

To find the arithmetic means, we divide the difference between the endpoints by the number of intervals (in this case, 5): 
$$\frac{17-(-8)}{5}=5$$
Starting with -8, we add 5 successively to get the means: 
$$-8+5=-3,-3+5=2,2+5=7,7+5=12$$
Therefore, the correct choice is (C) -3, 2, 7, 12.

Insert Four Arithmetic Means Between -8 and 17 −3,3,8,13\quad - 3,3,8,13−3,3,8,13

Insert Four Arithmetic Means Between -8 and 17 $\quad - 3,3,8,13$