# Sequences

### Exercises

#### Exercise 1

A giant cookie sits on a plate. Cookie Monster eats half the cookie with one bite. With another bite he eats half of the remaining cookie.

Cookie Monster keeps taking bites, eating half the remaining cookie with each bite.

(a) After 5 bites, what fraction of the cookie has Cookie Monster eaten?

(b) How many bites does it take before less than one one-thousandth of the cookie remains?

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