Question

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

Answer 1

B) n=5

Step-by-step 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