Multiple choice general knowledge

Torrell has written a number pattern that begins with 1, 3, 6, 10, 15. If he continues this pattern, what is the next number in his pattern?

  1. 18

  2. 19

  3. 20

  4. 21

  5. 22
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D Correct answer
Explanation

This is the triangular number sequence. The pattern shows the differences: 3-1=2, 6-3=3, 10-6=4, 15-10=5. Each difference increases by 1, so the next difference is 6, making the next number 15+6=21. Alternatively, these are 1, 1+2, 1+2+3, 1+2+3+4, 1+2+3+4+5.

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