[Potironette]

I guess then #38 would be (n(n+1))/(2(n+1)(n+2))

I as far as I recall, class hasn't covered anything divided by 2.
..I'm not entirely certain what has been covered in class except what sequences/sigmas/partial sums mean and that and looking for ratios and addition of similar numbers is important.

EDIT: How does (n² + n)/2 work?
Add a number the the same number multiplied by itself makes it always even..
n(n+1) means that with every increase in n, the "1" part increases by n too.
And then dividing by 2 makes it increase by 1 instead of 2.
So I guess I can instead of dividing it by 2, replace that with anything 2x = number to increase each time by that number? Only the first number will always get higher or lower. If I wanted it to stay at 1, then I'd have to subtract or add something extra?