Number series (alternating +5 and +2) Sequence: 3 8 10 15 17 22 24 … Choose the next two numbers.
Verbal Reasoning
Number Series
Difficulty: Easy
Choose an option
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A26 28
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B29 34
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C29 31
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D26 31
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E26 32
Answer
Correct Answer: 29 31
Explanation
Introduction / Context:Alternating-step progressions require attention to the operation order. Here, two small additions repeat in a cycle.
Given Data / Assumptions:
- Sequence: 3, 8, 10, 15, 17, 22, 24, …
- Observed jumps: +5, +2, +5, +2, +5, +2, …
Concept / Approach:Confirm the alternating pattern and apply the next two operations in order.
Step-by-Step Solution:
3 + 5 = 8; 8 + 2 = 10.10 + 5 = 15; 15 + 2 = 17.17 + 5 = 22; 22 + 2 = 24.Next: 24 + 5 = 29; then 29 + 2 = 31.Verification / Alternative check:Continue mentally: after 29,31 the series would again add +5 then +2, preserving the rhythm.
Why Other Options Are Wrong:
- 26 28 / 26 32 / 26 31: Start from an incorrect next value (should be 29, not 26).
- 29 34: Second step adds +5 again instead of +2.
Common Pitfalls:Applying +5 twice in a row or swapping the order of +5 and +2.
Final Answer:29 31