Question

check whether the following sequences are in Arithmetic Progression
-1/3,0,1/3,2/3,......
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Answer 1

The given sequence is -1/3,0,1/3,2/3

If it is in AP, common difference, remains the same throughout.

0 - (-1/3)= d= 1/3

1/3- 0= 1/3 = d

and, 2/3 - 1/3 = 1/3 = d

Hence the given sequence is an AP