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Question 1
The CDC is developing an anti-viral medication to counter the spread of a certain virus. The table below shows the number of viruses in a petri dish at the same time each day.
Number of Days | 1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|
Number of Viruses | 2500 | 2375 | 2250 | 2125 | 2000 |
Is this an arithmetic sequence or a geometric sequence?
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Question 2
Number of Days | 1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|
Number of Viruses | 2500 | 2375 | 2250 | 2125 | 2000 |
What is the common difference?
Go to question 3.
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Question 3
Number of Days | 1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|
Number of Viruses | 2500 | 2375 | 2250 | 2125 | 2000 |
When will the number of viruses be half the amount it was on Day 1?
*Hint: Use the common difference to extend the pattern.
Go to question 4.
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Question 4
The CDC improves the effects of the anti-viral medication. The results are shown below.
Number of Days | 1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|
Number of Viruses | 2500 | 500 | 100 | 20 | 4 |
Is this an arithmetic sequence or a geometric sequence?
Go to question 5.
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Question 5
Number of Days | 1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|
Number of Viruses | 2500 | 500 | 100 | 20 | 4 |
The virus decreases by approximately ____blank each day?
*Hint: Find the common ratio.
Go to question 6.
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Question 6
Which of the following statements correctly compares arithmetic sequences and geometric sequences under the same variables?
The second was a geometric sequence:
Dividing (or multiplying) by a constant ratio causes the values in the sequence to rapidly decrease (or increase) much more quickly than that of an arithmetic sequence where the common difference is just being subtracted (or added). Note the highlighted values in the charts above.