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Question
Which of the following sequences are A.P.? If they are A.P. find the common difference.
2, 4, 6, 8, ...
Solution
The given sequence is 2, 4, 6, 8, ....
Here, t1 = 2, t2 = 4, t3 = 6, t4 = 8
∴ t2 – t1 = 4 – 2 = 2
∴ t3 – t2 = 6 – 4 = 2
∴ t4 – t3 = 8 – 6 = 2
The difference between two consecutive terms is constant.
∴ The given sequence is an A.P. and common difference (d) = 2.
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