David's first Number Theory blog

Yay! Number Theory! Soooooo here we go I guess...

A.) n=10
1: 1
2: 3
3: 6
4: 10
5: 15
6: 21
7: 28
8: 36
9: 45
10: 55

B.) I don't know if there is a pattern but some of them are divisable by the numbers they were added from.

C.) There probably is a formula for this because there are formulas for everything and you probably would not have included this in the prompt if one didn't exist. I haven't the slightest idea as to what it would be though.

D.) I think a formula would work because there are rules to addition and all of those other functions and whatnot so that a pattern probably does eventually emerge and one could use it to figure it out without adding 1,000,000+ numbers using case work (any written or shown work) or otherwise.