Number series – find the next two terms. Given sequence: 4, 8, 22, 12, 16, 22, 20, 24, ____ , ____
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A28 32
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B28 22
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C22 28
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D32 36
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E22 26
Answer
Correct Answer: 28 32
Explanation
Introduction / Context:Number series questions test recognition of patterns such as constant differences, alternating sequences, and cyclic increments. Here we must extend a mixed pattern to determine the next two terms.
Given Data / Assumptions:
- Sequence provided: 4, 8, 22, 12, 16, 22, 20, 24
- We need exactly the next two terms as a space-separated pair.
- Assume a consistent rule continues beyond the shown terms.
Concept / Approach:Look for local difference patterns and repeated substructures. Many such series use alternating mini-patterns or settle into a steady increment in the tail. Check recent terms first to avoid early noise.
Step-by-Step Solution:
Observe the last four numbers: 12, 16, 22, 20, 24.From 12 to 16: +4.From 16 to 22: +6 (a jump), then 22 to 20: -2, then 20 to 24: +4.The tail now shows a stable +4 step: 20 → 24 is +4.When a series stabilizes to a simple step near the end, extend with the same increment.Next: 24 + 4 = 28.Next after that: 28 + 4 = 32.Verification / Alternative check:Check for contradictions: If we used any other option (for example, 22 next), we would require a sudden -2 that breaks the emerging +4 stride after 20 → 24. The simplest and most consistent continuation is +4, +4.
Why Other Options Are Wrong:
- 28 22: Reintroduces a -6 drop immediately after +4, not supported by the tail.
- 22 28 / 22 26: Both require a reversal to 22 right after 24, inconsistent.
- 32 36: Skips 28; there is no evidence for a +8 jump.
Common Pitfalls:Overfitting the early irregular jumps (+14, -10, +6, -2) and ignoring the most recent consistent behavior can mislead. Always test the last few steps for stability.
Final Answer:28 32