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:
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In the first round, the initial person sends the email to 10 friends.
Total: 10 -
In the second round, each of those 10 friends forwards it to 10 more friends (10 x 10 = 100).
Total: 100 -
In the third round, each of those 100 people forwards it to 10 more friends (100 x 10 = 1,000).
Total: 1,000 -
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 -
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.