Which of the following sequences are A.P. ? If they are A.P. find the common difference.
0, – 4, – 8, – 12, . . .
0, – 4, – 8, – 12, . . .
Here, the first term, a1 = 0
Second term, a2 = – 4
a3 = – 8
Now, common difference = a2 – a1 = – 4 – 0 = – 4
Also, a3 – a2 = – 8 – ( – 4) = – 8 + 4 = – 4
Since, the common difference is same.
Hence the terms are in Arithmetic progression with common difference, d = – 4.
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