The number 10 comes between 6 and 15. The numbers 3, 6, 10, 15, 21, and 28 are called TRIANGLE NUMBERS because they can be represented by lines of dots that form an equilateral triangle. They represent the additive sum 1+2+...+n which is equal to n (n+1)/2.
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22
The next number in the sequence 3-15-6-30-21 is -207.
It is (5+37)/2 = 21.
This sequence is an interlace of two sequences: 13,17,21,25,29,33,..(each number 4 higher than the previous one) and 10, 15, 25,30,35(each number 5 more than the previous one). So the sequence continues 30,29,35,33,...
28