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Question
State whether the following sequence is an Arithmetic Progression or not:
3, 6, 12, 24,......
Solution
3, 6, 12, 24....
Let , 'a' be the first term of the given sequence and 'd' be the common difference.
Also, t2 , t3 , t4 be the 2nd ,3rd ,4th terms respectively.
Consider,
t2 - a = 6 - 3 = 3
t3 - t2 = 12 - 6 = 6
Here, we can see that difference between two successive terms is not constant. Hence, it is not an Arithmetic Progression
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