Continue the arithmetic progression by two terms. Sequence: 6, 10, 14, 18, 22, 26, 30, ____ , ____
Verbal Reasoning
Number Series
Difficulty: Easy
Choose an option
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A36 40
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B33 37
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C38 42
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D34 36
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E34 38
Answer
Correct Answer: 34 38
Explanation
Introduction / Context:This is a straightforward arithmetic progression where each term increases by a fixed amount. Such single-step sequences are common quick-solve items.
Given Data / Assumptions:
- Terms: 6, 10, 14, 18, 22, 26, 30
- Find the next two terms.
Concept / Approach:Identify the common difference and extend.
Step-by-Step Solution:
Compute difference: 10 - 6 = 4; pattern confirms +4 throughout.Next after 30: 30 + 4 = 34.Next after that: 34 + 4 = 38.Verification / Alternative check:All prior steps increment by +4, so continuing yields 34 and 38 without contradiction.
Why Other Options Are Wrong:
- 36 40 / 38 42: Assume +6 or +8; incorrect.
- 33 37: Uses +3 and +4; breaks constancy.
- 34 36: Correct first term, wrong second (needs +4 again).
Common Pitfalls:Switching the difference mid-way or averaging nearby differences. Trust the constant increment.
Final Answer:34 38