An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.
Let's analyze the options:
A. \(2, 4, 8, 16, 32...\)
- The differences between consecutive terms are: \(4 - 2 = 2\), \(8 - 4 = 4\), \(16 - 8 = 8\), \(32 - 16 = 16\).
- The differences are not constant. Therefore, this is not an arithmetic sequence.
B. \(-2, -4, -8, 16, 32...\)
- The differences are: \(-4 - (-2) = -2\), \(-8 - (-4) = -4\), \(16 - (-8) = 24\), \(32 - 16 = 16\).
- The differences are not constant. Therefore, this is not an arithmetic sequence.
C. \(3, 6, 9, 12, 15\)
- The differences are: \(6 - 3 = 3\), \(9 - 6 = 3\), \(12 - 9 = 3\), \(15 - 12 = 3\).
- The differences are constant (equal to 3). Therefore, this is an arithmetic sequence.
Given the analysis, the correct answer is: C. \(3, 6, 9, 12, 15\)