The given sequence, 2.4, 8, 16, is not an arithmetic progression (AP), so it does not have a common difference.
An arithmetic progression (AP) is a sequence of numbers such that the difference between any two consecutive terms is constant. This constant difference is called the common difference.
Let's analyze the differences in the given sequence:
- The difference between the second and the first term is 8 - 2.4 = 5.6.
- The difference between the third and the second term is 16 - 8 = 8.
Since 5.6 ≠ 8, the differences are not the same. Therefore, 2.4, 8, 16 is not an AP.
Examples of Arithmetic Progressions (from the references):
- Example 1: The sequence 2, 5/2, 3, 7/2 forms an AP. The common difference is 1/2. This is because:
- 5/2 - 2 = 1/2
- 3 - 5/2 = 1/2
- 7/2 - 3 = 1/2
- Example 2: The sequence -1.2, -3.2, -5.2, -7.2 forms an AP. The common difference is -2. This is because:
- -3.2 - (-1.2) = -2
- -5.2 - (-3.2) = -2
- -7.2 - (-5.2) = -2
The sequence 2, 4, 8, 16 is also not an AP because the common difference is not equal, as noted in the references.
Therefore, the given question cannot be answered as the sequence is not an arithmetic progression.
