Which of the following sequences are A.P. ? If they are A.P. find the common difference.
– 10, – 6, – 2, 2, . . .
– 10, – 6, – 2,2, . . .
Here, the first term, a1 = – 10
Second term, a2 = – 6
a3 = – 2
Now, common difference = a2 – a1 = – 6 – ( – 10) = – 6 + 10 = 4
Also, a3 – a2 = – 2 – ( – 6) = – 2 + 6 = 4
Since, the common difference is same.
Hence the terms are in Arithmetic progression with common difference, d = 4.
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