How do you determine whether the sequence #1/3, 2/3, 1, 4/3, 5/6,...# is arithmetic and if it is, what is the common difference?

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Answer 1 · 2017-10-14T16:33:57

#color(blue)(1/3)#

Concentrating on the first three values:

If a , b , c are in arithmetic sequence:

Then:

#b-a = c-b#

From example:

#2/3 - 1/3 = 1- 2/3= color(blue)(1/3)#

So:

The common difference is #color(blue)(1/3)#