Question

An army of clone warriors is quadrupling every year. If the army started with only one warrior

named Clone Alpha, how many clones will there be in a decade?
A) 262,144 clones
B) 4,194,304 clones
C) 1,048,576 clones
D 10,485,760 clones

Answer 1

C) 1,048,576 clones

Explanation:

An army of clone warriors is quadrupling every year.

This means that the amount of clone warriots after t years is given by:

`A(t) = A(0)4^t`

Started with only one warrior:

This means that
`A(0) = 1`, so:

`A(t) = 4^t`

How many clones will there be in a decade?

A decade is 10 years, so this is A(10).

`A(10) = 4^(10) = 1,048,576`

The correct answer is given by option C.