Question

Triangle Numbers are generated by creating trianglesof progressively larger size. Example include pinswhen bowling or balls when playing billiards

Answer 1

for the first term:

n= 1 there is 1 item

n=2 there are 2+1 = 3 items

n = 3 there are 3+2+1 = 3+2 = 6 items

n = 4 there are 4+3+2+1 = 4+6 = 10 items

We are adding the "n" term each time

n = 5 10+5 = 15

n= 6 15+6 = 21

n = 7 21+7 = 28

n = 8 28+8 = 36

There would be 36 items in the 8th step