Number series (constant decrement −4) Sequence: 34 30 26 22 18 14 10 … Choose the next two numbers.
Verbal Reasoning
Number Series
Difficulty: Easy
Choose an option
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A8 6
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B6 4
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C14 18
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D6 2
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E4 0
Answer
Correct Answer: 6 2
Explanation
Introduction / Context:A straightforward arithmetic progression with a fixed negative step size challenges you to maintain accuracy over multiple decrements.
Given Data / Assumptions:
- Given sequence: 34, 30, 26, 22, 18, 14, 10.
- The common difference appears constant.
Concept / Approach:Check consecutive differences to confirm the common difference, then continue the pattern by the same subtraction.
Step-by-Step Solution:
30 − 34 = −4; 26 − 30 = −4; 22 − 26 = −4; …After 10, next terms are 10 − 4 = 6 and 6 − 4 = 2.Verification / Alternative check:Writing the tail: 18, 14, 10, 6, 2 confirms a constant −4 cadence.
Why Other Options Are Wrong:
- 8 6 and 6 4: One value fits but the second breaks the −4 rule.
- 14 18: Reverses direction.
- 4 0: Skips the required 6 after 10.
Common Pitfalls:Skipping a step when counting down by fours.
Final Answer:6 2