Question

State whether the following sequence is an Arithmetic Progression or not:
3, 6, 12, 24,......

Answer 1

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 2^nd ,3^rd ,4^th 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