Number series – find the next two terms: 2, 8, 14, 20, 26, 32, 38, ?, ?
Verbal Reasoning
Number Series
Difficulty: Easy
Choose an option
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A2 46
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B44 50
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C42 48
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D40 42
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E32 26
Answer
Correct Answer: 44 50
Explanation
Introduction / Context:An arithmetic sequence with a constant positive step increases uniformly. We extend it by repeatedly adding the common difference.
Given Data / Assumptions:
- Series: 2, 8, 14, 20, 26, 32, 38
- Find the next two values.
- Check consecutive differences.
Concept / Approach:
Calculate the difference between adjacent terms. If constant, continue adding the same difference to get future terms.
Step-by-Step Solution:
Differences: 8−2 = 6, 14−8 = 6, …, 38−32 = 6.Common difference = 6.Next term: 38 + 6 = 44.Next term: 44 + 6 = 50.Verification / Alternative check:
All original gaps are 6, confirming an arithmetic progression.
Why Other Options Are Wrong:
42 48 or 40 42 do not follow the +6 rule from 38; 2 46 and 32 26 are unrelated reversals.
Common Pitfalls:
Using the wrong difference or making a simple addition error; always verify with multiple consecutive steps.
Final Answer:
44 50