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Question
Decide whether the following sequence is an A.P. or not.
3, 5, 7, 9, 11 ........
Solution
The given sequence is 3, 5, 7, 9, 11 ........
Here, t1 = 3, t2 = 5, t3 = 7, t4 = 9
∴ t2 – t1 = 5 – 3 = 2
t3 – t2 = 7 – 5 = 2
t4 – t3 = 9 – 7 = 2
∴ t2 – t1 = t3 – t2 = 2 = d = constant
The difference between two consecutive terms is constant.
∴ The given sequence is an A.P.
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