Given sequence: 5, 9, 16, 29, 54, ___,
To find the next numbers in the sequence, let's look at the pattern:
- Starting with 5, we notice the following:
- \(5 \times 2 - 1 = 9\)
- \(9 \times 2 - 2 = 16\)
- \(16 \times 2 - 3 = 29\)
- \(29 \times 2 - 4 = 54\)
Following this pattern, we continue:
- \(54 \times 2 - 5 = 103\)
So, the next number in the sequence is 103.
Continuing with the same pattern for the next number:
- \(103 \times 2 - 6 = 200\)
Thus, the sequence continues as: 5, 9, 16, 29, 54, 103, 200.
So the correct answer is:
Option B: 200