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)

10, 100,

1 answer

To calculate how many people receive the email after 5 rounds of forwarding, we can create a sequence based on the number of people each participant forwards the email to. In this scenario, each person forwards the email to 10 friends.

Here's how the forwarding works:

  1. In the first round, the initial person sends the email to 10 friends.
    Total: 10

  2. In the second round, each of those 10 friends forwards it to 10 more friends (10 x 10 = 100).
    Total: 100

  3. In the third round, each of those 100 people forwards it to 10 more friends (100 x 10 = 1,000).
    Total: 1,000

  4. In the fourth round, each of those 1,000 people forwards it to 10 more friends (1,000 x 10 = 10,000).
    Total: 10,000

  5. In the fifth round, each of those 10,000 people forwards it to 10 more friends (10,000 x 10 = 100,000).
    Total: 100,000

Putting this together, the sequence of how many people receive the email after each round of forwarding is as follows:

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

So the completed sequence after 5 rounds is: 10, 100, 1,000, 10,000, 100,000.