Chapter 1.2, Problem 30ES

A Savings Plan You save a penny on day 1. On each of the following days you save double the amount of money you saved on the previous day. How much money will you have after:

a. 5 days?

b. 10 days?

c. 15 days?

d. n days?

Hint: $2^1=2,2^2=4,2^3=8,2^4=16,$

$2^5=32,\mathrm{...},2^{10}=1024,\mathrm{...},2^{15}=32758,\mathrm{...}$