Question 1153035: If there are 12 arithmetic means between -5 and 60, what is the common difference of the arithmetic progression?
Answer by ikleyn(52775)   (Show Source):
You can put this solution on YOUR website! .
The distance between -5 and 60 in number line is 65 units.
From the other side, 12 arithmetic means (actually, 12 terms of an arithmetic progression)
divide the segment [-5,60] in 13 equal intervals, so each interval (the gap between the neighbor terms) is 65/13 = 5 units.
Each such gap is the common difference of the arithmetic prigression, so its common difference is 5. ANSWER
Solved, answered, explained and completed.
|
|
|
