The next three terms in the sequence are 16, 4, and 1.
This sequence is a pattern where each term is obtained by dividing the previous term by 4. To illustrate:
- 4096 divided by 4 equals 1024
- 1024 divided by 4 equals 256
- 256 divided by 4 equals 64
Continuing this pattern:
- 64 divided by 4 equals 16
- 16 divided by 4 equals 4
- 4 divided by 4 equals 1
Therefore, the next three terms after 64 are 16, 4, and 1.