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,
,
,
. . .
Remaining Atte

1 answer

To create the sequence showing how many people will get the email after 5 rounds of forwarding, we can start with the assumption that each person forwards the email to 10 friends.

  1. Round 1: The initial sender sends it to 10 friends.

    • Total: 10 (1 original sender + 10 friends)
  2. Round 2: Each of those 10 friends forwards it to 10 more friends.

    • Total: \(10 \times 10 = 100\)
  3. Round 3: Each of the 100 people forwards it to 10 more friends.

    • Total: \(100 \times 10 = 1,000\)
  4. Round 4: Each of the 1,000 people forwards it to 10 more friends.

    • Total: \(1,000 \times 10 = 10,000\)
  5. Round 5: Each of the 10,000 people forwards it to 10 more friends.

    • Total: \(10,000 \times 10 = 100,000\)

So, the complete sequence after 5 rounds of forwarding would be:

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

Putting this together, the sequence is: 10, 100, 1,000, 10,000, 100,000.