SOLUTION: is 11/2, 25/6, 17/6, 3/2, 1/6 arithmetic?

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Question 1165988: is 11/2, 25/6, 17/6, 3/2, 1/6 arithmetic?


Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Try on your own. What is the difference between each pair of successive terms? Is it same value each time?

Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
.

            More simple way is to write the given fractions with the common denominator. 


Use  " 6 " as the common denominator


    33%2F6,  25%2F6,  17%2F6,  9%2F6,  1%2F6.


Now look into the numerators.


You see that the numerators are in arithmetic progression.


Hence, the original numbers form an arithmetic progression, too,

and the common difference is  -8%2F6 = -4%2F3.