1=.005^(n)

Question

how  many fold-in -halves are needed to have a stack of one inch. equation: 1=.005^(n)

Answer 1

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