Final answer:
An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. Options a and d are arithmetic sequences. Option A ,D are correct.
Step-by-step explanation:
An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. Looking at the given options:
a. -2, -4, -8, -16, -32 - This sequence has a common difference of -2. Therefore, it is an arithmetic sequence.
b. 0, 5, 11, 18, 24, ... - This sequence does not have a constant difference between consecutive terms, so it is not an arithmetic sequence.
c. 1, -3, 9, -27, 81, ... - This sequence does not have a constant difference between consecutive terms, so it is not an arithmetic sequence.
d. 0, 6, 12, 18, 24, ... - This sequence has a common difference of 6. Therefore, it is an arithmetic sequence.
Based on the definitions and properties of an arithmetic sequence, options a and d are arithmetic sequences.