Question

Suppose you are given an allowance of $1 the first week of the year, and each week your allowance doubles. That is, $1 the first week, $2 the second week, $4 the third week, and so on.

C. How do you calculate what your allowance will be in week 25?

Answer 1

The equation to find out what the allowance would be is 2^(n-1), with n being the number of weeks. Thus, for 25 weeks, you would plug in 25 for n and get 2^24, or 16,777,216