- #1

Feynstein100

- 162

- 16

Iteration 1:

Data series = 1, 4

AM = 3

Iteration 2:

Data series = 1, 1.77, 2.76, 4

AM = 2.38

And so on

As we add more and more points, or rather midpoints, does the AM converge to a certain value? At first I thought that the sum of an infinite number of points would be infinity and thus the AM would diverge but then it occurred to me that by its very definition, the AM must lie somewhere between the endpoints and thus can't diverge to infinity. So what would the AM be for all the points between y = 1 and y = 4? Is there a formula to calculate this? And can it be generalized to any function? Same for the GM and HM.