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

To understand how the forwarding of the email works, let's break it down step by step.

1. Round 1: The original sender forwards the email to 10 friends.

   • Total people who received the email = 10 (just the friends).

2. Round 2: Each of those 10 friends forwards the email to 10 more friends.

   • Total people who received the email in this round = 10 (from Round 1) x 10 = 100.

3. Round 3: Each of those 100 friends forwards the email to 10 more friends.

   • Total people who received the email in this round = 100 x 10 = 1,000.

4. Round 4: Each of those 1,000 friends forwards the email to 10 more friends.

   • Total people who received the email in this round = 1,000 x 10 = 10,000.

5. Round 5: Each of those 10,000 friends forwards the email to 10 more friends.

   • Total people who received the email in this round = 10,000 x 10 = 100,000.

So, the sequence showing the total number of people who received the email after each round is:

1. Round 1: 10
2. Round 2: 100
3. Round 3: 1,000
4. Round 4: 10,000
5. Round 5: 100,000

Thus, the sequence is: 10, 100, 1,000, 10,000, 100,000.