The series you’ve provided is composed of two interleaved sequences. Let’s break it down:
- The first sequence consists of the numbers in the odd positions: 3, 4, 5. This sequence is straightforward: we start at 3 and simply add 1 each time (3 + 1 = 4; 4 + 1 = 5).
- The second sequence consists of the numbers in the even positions: 6, 7, 8. This sequence starts at 6 and adds 1 as well (6 + 1 = 7; 7 + 1 = 8).
Following this pattern:
- The next number after 5 (from the first sequence) will be 6 (5 + 1).
- The next number after 8 (from the second sequence) will be 9 (8 + 1), but as we are focusing on the odd position next, we use the first sequence.
Thus, the series will continue as follows: 3, 6, 4, 7, 5, 8, 6.