To determine the next number in the sequence 1, 1, 2, 4, 3, 9, 4, we can look for a pattern.
The sequence can be divided into two alternating patterns:
- The first sequence (even positions): 1, 2, 3, 4
- The second sequence (odd positions): 1, 4, 9
The first sequence simply increases by 1 with each step, so after 4, the next number would be 5.
The second sequence consists of perfect squares: 1 (12), 4 (22), 9 (32), which suggests the next number is 16 (42).
Looking at the position of the last number, which is 4 (the 7th term, thus an odd position), the next number should come from the first sequence. Therefore, the next number in the sequence is 5.