To represent how many people will get the email after 5 rounds of forwarding, we start with the first sender and assume each person forwards the email to 10 friends.
- Initial sender (Round 0): 1 person gets the email.
- Round 1: The initial sender forwards it to 10 friends. Total: 10
- Round 2: Each of those 10 friends forwards it to 10 more friends, resulting in 10 * 10 = 100 new recipients. Total: 100
- Round 3: Each of those 100 friends forwards it to 10 more friends, resulting in 100 * 10 = 1,000 new recipients. Total: 1,000
- Round 4: Each of those 1,000 friends forwards it to 10 more friends, resulting in 1,000 * 10 = 10,000 new recipients. Total: 10,000
- Round 5: Each of those 10,000 friends forwards it to 10 more friends, resulting in 10,000 * 10 = 100,000 new recipients. Total: 100,000
Now, putting it all together, the sequence of people who receive the email after each round is:
- Round 1: 10
- Round 2: 100
- Round 3: 1,000
- Round 4: 10,000
- Round 5: 100,000
Thus the sequence you provided would be completed as follows:
10, 100, 1,000, 10,000, 100,000.