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45.

These are the triangular numbers.

To find the next one, add one more than the previous difference:

1, 3 → difference is 2, so add 2 + 1 = 3 → 3 + 3 = 6

3, 6 → difference is 3, so add 3 + 1 = 4 → 6 + 4 = 10

etc

28, 36 → difference is 8, so add 8 + 1 = 9 → 36 + 9 = 45

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11y ago
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Q: What is the next number in the series 1 3 6 10 15 21 28 36?
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