Number series — find the next two terms of the sequence: 3, 8, 13, 18, 23, 28, 33
Verbal Reasoning
Number Series
Difficulty: Easy
Choose an option
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A39 44
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B38 44
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C38 43
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D37 42
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E33 38
Answer
Correct Answer: 38 43
Explanation
Introduction / Context:This series is another arithmetic progression. Quickly spotting the constant difference allows immediate prediction of the next terms—an essential skill for rapid quantitative reasoning.
Given Data / Assumptions:
- Sequence: 3, 8, 13, 18, 23, 28, 33
- Find the next two values (positions 8 and 9).
Concept / Approach:Arithmetic progression with constant difference d. Compute d and add it successively to obtain future terms.
Step-by-Step Solution:
Difference: 8 − 3 = 5 (consistent across the sequence).Next term: 33 + 5 = 38.Term after that: 38 + 5 = 43.Hence, the next two terms are 38 and 43.Verification / Alternative check:
Check mid-sequence: 18 + 5 = 23 and 23 + 5 = 28, confirming d = 5.Why Other Options Are Wrong:
39 44 / 38 44 / 37 42 / 33 38: At least one entry in each pair violates the constant +5 progression.Common Pitfalls:
Confusing this AP with two interleaved series; there is only one constant step here.Final Answer:38 43