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Question
Which of the following sequences are A.P.? If they are A.P. find the common difference.
Solution
The terms are given :
2, `5/2, 3, 7/2,......`
t2 − t1 = `5/2 - 2 = (5 - 4)/2 = 1/2`
t3 − t2 = `3 - 5/2 = (6 - 5)/2 = 1/2`
t4 − t3 = `7/2 - 3 = (7 - 6)/2 = 1/2`
∵ The difference between consecutive terms are constant.
∴ Given sequence is an A.P.
Common difference (d) = `1/2`
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