how many fold-in -halves are needed to have a stack of one inch. equation: 1=.005^(n)
I'm asssuming here that you have a sheet of paper, 5 thou thickness, which you then proceed to fold in half multiple times.
You want to know how many times must it be folded in order for the thickness to reach 1 inch?
Let's see what we get.
Paper thickness = t, say. and folded thickness is T.
0 folds, T = t
1 fold, T = 2t
2 folds, T = 4t
3 folds, T = 8t
.
.
n folds, T = 2^n.t
So, we want T = 1 inch, then
2^n.t = T = 1
2^n = 1/t = 1/0.005 = 200
2^7 = 128 (T = 0,64") and 2^8 = 256 (T = 1.28")
So, the paper must be folded 8 times in order to exceed 1 inch thickness