Question:medium

Look carefully for the pattern, and then choose which pair of numbers comes next.
13 29 15 26 17 23 19 _ _ _ _

Show Hint

When numbers in a series jump up and down, try looking at every second number to see if two separate patterns are interleaved.
Updated On: Jun 15, 2026
  • 21 23
  • 20 21
  • 20 17
  • 25 27
  • 22 20
Show Solution

The Correct Option is B

Solution and Explanation

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.
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