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1. |
Find the first four iterates of the function f(x) = 7x + 2 if x0 = 3. |
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A. |
23, 76, 114, 208 |
B. |
7, 12, 18, 36 |
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C. |
23, 163, 1143, 8003 |
D. |
3, 23, 47, 81 |
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Hint |
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2. |
Determine the first five iterates of the function f(x) = 2x + 10 if the initial value is -12. |
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A. |
12, -14, -18, -26, -42 |
B. |
12, 14, -18, 26, -42 |
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C. |
–14, -18, -26, -42, -74 |
D. |
–12, -14, -18, -26, -42 |
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Hint |
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3. |
Which of the following is not a recursive formula? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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4. |
What is an example of a recursive formula whose first three terms are 3, 6, and 9? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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5. |
Dave and Nick started out with a garden of 5 tomatoes. Each week, they grew three times as many tomatoes as the week before. How many tomatoes an do they grow in the nth week? |
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A. |
3 + an -1 |
B. |
3an-1 |
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C. |
5 + 3n |
D. |
3n |
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Hint |
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