A popular shoe manufacturer is planning to market a new style of tennis shoe in a city of 500,000 people. Using a prominent professional athlete as their spokesperson, the company's ad agency hopes to induce 35% of the people to buy the product. The ad agency estimates that these satisfied customers will convince 35% of the 35% of 500,000 to buy a pair of shoes, and those will persuade 35% of 35% of 35% of 500,000 and so on.

1) Model this situation using sigma notation.

Question

A popular shoe manufacturer is planning to market a new style of tennis shoe in a city of 500,000 people. Using a prominent professional athlete as their spokesperson, the company's ad agency hopes to induce 35% of the people to buy the product. The ad agency estimates that these satisfied customers will convince 35% of the 35% of 500,000 to buy a pair of shoes, and those will persuade 35% of 35% of 35% of 500,000 and so on.

1) Model this situation using sigma notation.