Number series — find the next two terms of the sequence: 11, 16, 21, 26, 31, 36, 41
Verbal Reasoning
Number Series
Difficulty: Easy
Choose an option
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A47 52
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B46 52
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C45 49
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D46 51
Answer
Correct Answer: 46 51
Explanation
Introduction / Context:This is a straightforward arithmetic progression. Once the constant difference is identified, extending the series is immediate. Such questions test quick recognition of linear growth in number sequences.
Given Data / Assumptions:
- Sequence: 11, 16, 21, 26, 31, 36, 41
- Find the next two terms (positions 8 and 9).
Concept / Approach:For an arithmetic progression (AP), each term increases by a constant difference d. Determine d by subtracting any term from the next, then add d repeatedly to project future terms.
Step-by-Step Solution:
Common difference: 16 − 11 = 5 (confirmed across all transitions).Next term: 41 + 5 = 46.Term after that: 46 + 5 = 51.Therefore, the next two terms are 46 and 51.Verification / Alternative check:
Random check: 31 + 5 = 36 and 36 + 5 = 41, confirming the AP with d = 5.Why Other Options Are Wrong:
47 52 / 46 52 / 45 49: Each pair breaks the constant +5 pattern at one or both positions.Common Pitfalls:
Overthinking a simple AP as a complex pattern; always test for constant differences first.Final Answer:46 51