Number series – find the next two terms: 9, 16, 23, 30, 37, 44, 51, ?, ?
Verbal Reasoning
Number Series
Difficulty: Easy
Choose an option
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A59 66
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B56 62
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C58 66
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D58 65
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E54 61
Answer
Correct Answer: 58 65
Explanation
Introduction / Context:This is a straightforward arithmetic progression check: constant differences signal the next terms directly.
Given Data / Assumptions:
- Series: 9, 16, 23, 30, 37, 44, 51
- We need the next two terms.
- Look for a constant difference.
Concept / Approach:
Compute consecutive differences. If the difference is constant, keep adding it to extend the sequence.
Step-by-Step Solution:
Differences: 16−9 = 7, 23−16 = 7, …, 51−44 = 7.Hence, the common difference is 7.Next term: 51 + 7 = 58.Next term: 58 + 7 = 65.Verification / Alternative check:
All original differences equal 7, confirming a pure arithmetic progression.
Why Other Options Are Wrong:
Any pair not matching +7 steps (like 59 66 or 58 66) violates the constant difference rule.
Common Pitfalls:
Mis-adding the difference or skipping a step; always add the common difference sequentially.
Final Answer:
58 65