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Check whether the following sequences are in A.P. (v) 1, -1, 1, -1, 1, -1,............

Check whether the following sequences are in A.P.
(v) 1, -1, 1, -1, 1, -1,............
Solution :
d = t2 - t1
d = -1 - 1
d  = -2
d = t3 - t2
d = 1 - (-1)
=  1 + 1
  =  2
The given sequence is not arithmetic progression.