A.
1 = 1
2 = 3
3 = 6
4 = 10
5 = 15
6 = 21
7 = 28
8 = 36
9 = 45
10 = 55
B. There is pattern. What that pattern is, however, is beyond me. Well actually, I guess you could say that you can add the sum of the last value to the value being added to get the next value. If that makes sense.
Ex. First solution is 1, so 2 + 1 = 3, which is your next answer. 6 +4 = 10, so forth and so forth.
C. I'm pretty sure what I said can be translated into a formula, but I wouldn't be able to figure it out without looking it up. I mean, I get the concept, just don't know the formula.
D. Assuming that this is correct, the next two answers would be:
11 = 66
12 = 78
That's the best I can do. Not that good at proving things.
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