For a1, a2, a3, a4..............to be an arithmetic sequence

a2-a1 = a3-a2 = a4-a3 etc.

For example, if we have the sequence 5, -3, -11, -19...........

so -3-5 = -8

Similarly -11- -3 = -8

-19 - -11 = -8

Hence the sequence is an arithmetic sequence

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