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Question
State whether the following sequence is an AP or not: 1, 3, 6, 10………
Solution
The given sequence is 1, 3, 6, 10, …………
Here t1 = 1, t2 = 3, t3 = 6, t4 = 10
Then,
t2- t1 = 3-1 = 2
t2- t3 = 6-3 = 3
t4- t3 = 10-6 = 4
t2- t1≠ t2- t3≠ t4- t3
Since the difference between two consecutive terms is not constant.
Therefore the given sequence is not an A.P.
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