Number series – missing term with doubling increments: 4, 19, 49, ?, 229

Difficulty: Easy

Correct Answer: 109

Explanation:


Introduction / Context:
The series shows increases whose increments themselves follow a doubling pattern, a frequent exam motif.



Observation / Approach:

  • 4 → 19: +15
  • 19 → 49: +30 (doubles)
  • 49 → ?: +60 (double again)
  • ? → 229: +120 (double again)


Step-by-Step Solution:
49 + 60 = 109.



Verification / Alternative check:
Continuing: 109 + 120 = 229 (fits exactly).



Why Other Options Are Wrong:
75, 65, 169, 99 do not preserve the “+15, +30, +60, +120” doubling sequence.



Common Pitfalls:
Trying powers/squares; the constant ratio appears not on the terms but on the differences.



Final Answer:
109

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