For a growing quantity to reach a value 32 times its initial value, how many doubling times are required? A) 4

B) 5

C) 16

D) 8

Question

Patrick

Physics

3 January, 19:52

For a growing quantity to reach a value 32 times its initial value, how many doubling times are required? A) 4

B) 5

C) 16

D) 8

+5

Answers (1)

Know the Answer?

Fernando Boone · Answer 1

B) n=5

Explanation:

We call the initial value Xo. We start to double this initial value

X1=2*Xo n=1

We double again:

X2=2*X1=2 * (2Xo) n=2

X2=2*X1=2^2*Xo n=2

In general:

Xn = (2^n) * Xo

If we want to reach a value 32 times its initial value:

2^n=32

then: n=5

2^5=2*2*2*2*2=32

For a growing quantity to reach a value 32 times its initial value, how many doubling times are required? A) 4B) 5C) 16D) 8

For a growing quantity to reach a value 32 times its initial value, how many doubling times are required? A) 4

B) 5

C) 16

D) 8