Question

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

Answer 1

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.