The next three terms in the sequence are: 5, 32, 5.
This sequence appears to alternate between the number 5 and another number. Let’s break it down:
- The first term is 5.
- The second term is also 5.
- Then, we see the number 2, followed again by 5.
- This pattern continues where 5 appears consistently at every second term.
- In the sequence of other numbers: 2, 4, 8, 16, we see that these numbers are actually doubling each time (2 × 2 = 4, 4 × 2 = 8, 8 × 2 = 16).
Continuing this pattern of doubling, the next number should be 16 × 2 = 32. Thus, the sequence will proceed with 5, followed by 32, and then again 5. The complete next three terms become 5, 32, and 5.