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it adds one more each time. 1+2=3 3+3=6 6+4=10 10+5=15 the next one would be 15+6=21

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With U{n} = (7n⁵ - 105n⁴ + 595n³ - 1555n² + 1938n - 840)/40

U{1, ..., 5} = {1, 3, 6, 10, 15}

U{6} = 42

However, I suspect the rule your teacher wants is that it is the triangular numbers given by U{n} = ½n(n + 1)

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Q: What is the rule for 1 3 6 10 15?
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