A chain email tells people to forward the email to 10 friends in order to have good luck. Assuming that everyone in the chain actually follows the directions, create a sequence to show how many people will get the email after 5 rounds of forwarding.(2 points)

Question

10, 100,
,
,
.

Answer 1

In the chain email scenario, each person forwards the email to 10 friends. This means that each round multiplies the number of people who receive the email by 10.

We can outline the progression as follows:

• Round 0: 1 original sender (the person who started the email)
• Round 1: 10 people (the original person forwards to 10 friends)
• Round 2: 10 × 10 = 100 people (each of the 10 people from Round 1 forwards to 10 more friends)
• Round 3: 100 × 10 = 1,000 people
• Round 4: 1,000 × 10 = 10,000 people
• Round 5: 10,000 × 10 = 100,000 people

So the completed sequence showing the number of people who will receive the email after each round would be:

10, 100, 1,000, 10,000, 100,000.