Multiple choice general knowledge math & puzzles

Which number is the next logical number in the following sequence of numbers: 2, 6, 14, 30, ..?

  1. 64

  2. 58

  3. 60

  4. 62
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The pattern is 2^n + 2: 2^1+2=4, 2^2+2=6, 2^3+2=10, 2^4+2=18, 2^5+2=34. Wait, that doesn't match. Let's reconsider: pattern is double and add 2: 2×2+2=6, 6×2+2=14, 14×2+2=30, so 30×2+2=62. The correct answer is D (62).

AI explanation

Each term follows the rule: next = previous × 2 + 2. Check: 2×2+2=6, 6×2+2=14, 14×2+2=30, and continuing, 30×2+2=62. So the next number is 62. The distractors 58, 60, and 64 are nearby numbers meant to catch arithmetic slips (e.g., forgetting the '+2' or miscalculating the doubling), but only 62 satisfies the actual recurrence relation established by the first four terms.

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