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, , , . . .

Answer 1

In this chain email scenario, each person forwards the email to 10 friends. Hence, the number of people receiving the email after each round can be calculated as follows:

• Round 0 (initial sender): 1 person
• Round 1 (first forwards to 10): 10 new people (total: 1 + 10 = 11)
• Round 2 (each of those 10 forwards to 10 more): 10 * 10 = 100 new people (total: 1 + 10 + 100 = 111)
• Round 3 (each of those 100 forwards to 10 more): 100 * 10 = 1000 new people (total: 1 + 10 + 100 + 1000 = 1111)
• Round 4 (each of those 1000 forwards to 10 more): 1000 * 10 = 10000 new people (total: 1 + 10 + 100 + 1000 + 10000 = 11111)
• Round 5 (each of those 10000 forwards to 10 more): 10000 * 10 = 100000 new people (total: 1 + 10 + 100 + 1000 + 10000 + 100000 = 111111)

So the sequence representing the number of new people receiving the email after each round (excluding the initial sender) would be:

• After round 1: 10
• After round 2: 100
• After round 3: 1000
• After round 4: 10000
• After round 5: 100000

Thus, the full sequence of the number of new people reached after each round (excluding the original sender) is:

10, 100, 1000, 10000, 100000.