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,
,
,
. . .
10, 100,
,
,
. . .
Answers
GPT-4o mini
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.
1. **Initial sender (Round 0)**: 1 person gets the email.
2. **Round 1**: The initial sender forwards it to 10 friends. Total: 10
3. **Round 2**: Each of those 10 friends forwards it to 10 more friends, resulting in 10 * 10 = 100 new recipients. Total: 100
4. **Round 3**: Each of those 100 friends forwards it to 10 more friends, resulting in 100 * 10 = 1,000 new recipients. Total: 1,000
5. **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
6. **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.
1. **Initial sender (Round 0)**: 1 person gets the email.
2. **Round 1**: The initial sender forwards it to 10 friends. Total: 10
3. **Round 2**: Each of those 10 friends forwards it to 10 more friends, resulting in 10 * 10 = 100 new recipients. Total: 100
4. **Round 3**: Each of those 100 friends forwards it to 10 more friends, resulting in 100 * 10 = 1,000 new recipients. Total: 1,000
5. **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
6. **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.
adaleta
Use the image to answer the question.
An L-shaped curve is plotted on a coordinate plane where the x-axis ranges from negative 10 to 20 and the y-axis ranges from 0 to 30, both by 2-unit increments. The curve passes through 3 marked and labeled points.
A boat washes up onto an island, introducing 25 rabbits into the environment. The rabbits multiply at a rate of 50 percent every month. Does this graph accurately model the situation? Enter 1 for yes or 2 for no.
(1 point)
Remaining Attempts : 3
An L-shaped curve is plotted on a coordinate plane where the x-axis ranges from negative 10 to 20 and the y-axis ranges from 0 to 30, both by 2-unit increments. The curve passes through 3 marked and labeled points.
A boat washes up onto an island, introducing 25 rabbits into the environment. The rabbits multiply at a rate of 50 percent every month. Does this graph accurately model the situation? Enter 1 for yes or 2 for no.
(1 point)
Remaining Attempts : 3