SOLUTION: If there are 12 arithmetic means between -5 and 60, what is the common difference of the arithmetic progression?

Question 1153035: If there are 12 arithmetic means between -5 and 60, what is the common difference of the arithmetic progression?
Answer by ikleyn(52776) (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.

RELATED QUESTIONS
There are 9 arithmetic means between 11 and 51. The sum of the progression... (answered by Edwin McCravy)

The 2nd, 4th and 8th terms of an arithmetic progression are the three consecutive terms... (answered by mananth)

The first term of an arithmetic progression is 12 and the sum of the first 16 terms is... (answered by greenestamps)

if 4 arithmetic means are inserted between 1 & 36 the sum of the resulting terms is 148... (answered by ikleyn,greenestamps)

What is the sum of the terms in an arithmetic progression obtained by inserting 7... (answered by CubeyThePenguin)

The first term of an arithmetic progression is -12,and the last term is 40. If the sum of (answered by Fombitz)

The first and the last term of an arithmetic progression are -0.5 and 140.5 respectively. (answered by math_tutor2020,greenestamps,Edwin McCravy,MathTherapy)

there are three arithmetic means between a and b in an arithmetic sequence . the average... (answered by robertb)

Let there are four numbers, the first three are geometric progression and the last three... (answered by greenestamps)