Correct Answer:
C. 1024
The given sequence is 1, 4, 4, 16, 64. We need to identify the pattern to find the next term.
- Let's analyze the relationship between consecutive terms:
- The first term is 1.
- The second term is 4.
- The third term is 4. Notice that the third term is the product of the first and second terms (1 * 4 = 4).
- The fourth term is 16. This is the product of the second and third terms (4 * 4 = 16).
- The fifth term is 64. This is the product of the third and fourth terms (4 * 16 = 64).
- This pattern indicates that each term, starting from the third, is the product of the two preceding terms.
- To find the next term, we multiply the last two terms: 16 * 64 = 1024.
Therefore, the next number in the sequence is 1024. Options A (256), B (512), and D (2048) are incorrect as they do not follow this specific multiplicative pattern.