Step 1: Understanding the Concept:
Check if the series is "interleaved," meaning it contains two independent patterns alternating with each other.
Step 2: Identifying the Vector of Change:
- Pattern A (Odd positions): 13, 15, 17, 19... (Adds 2 each time).
- Pattern B (Even positions): 29, 26, 23... (Subtracts 3 each time).
Step 3: Calculation:
The last number provided is 19 (Pattern A). The next two numbers must be:
- Next in Pattern B: $23 - 3 = 20$.
- Next in Pattern A: $19 + 2 = 21$. (Note: Option (c) uses 17 as a secondary logic, but the primary next number is 20).
Step 4: Final Answer:
The immediate next number in the pattern is 20. Based on the available options, (b) is the most logical choice.