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The next number is 46. The sequence adds an increasing multiple of 3.

1+3 = 4, 4+6=10, 10+9=19, 19+12=31, and 31+15 = 46.

With 1 as the value for n=1, the value for the nth term is x = 1.5 n² - 1.5n + 1

e.g. the 6th term is 1.5 (6x6) - 1.5 (6) + 1 = 54 - 9 + 1 = 46

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Anonymous

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Q: What is the next number in the sequence 1 4 10 19 31?
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