Multiple choice general knowledge math & puzzles

What are the next 3 numbers in this series? 2, 3, 4, 6, 8, 10, 13, 16, 20, 24, ?, ?, ?;

  1. 28,41,47

  2. 28,31,37

  3. 38,43,58

  4. 28,33,38
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D Correct answer
Explanation

Find the pattern in differences between consecutive terms. 2 to 3: +1, 3 to 4: +1, 4 to 6: +2, 6 to 8: +2, 8 to 10: +2, 10 to 13: +3, 13 to 16: +3, 16 to 20: +4, 20 to 24: +4. The differences are 1,1,2,2,2,3,3,4,4... The next differences should be 4,5,5 giving: 24+4=28, 28+5=33, 33+5=38. This matches option D exactly.

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