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Directions: These questions will ask you to write formulas for sequences. Do not assume that all of these sequences are either arithmetic or geometric. You may need to look for another pattern.
While one solution is offered, be aware that there are other notations and forms that may also be acceptable.
1. |
Given the sequence: {6, 16, 26, 36, ...}
Write an explicit formula for this sequence.
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2. |
Given the following sequence:
n |
1 |
2 |
3 |
4 |
... |
an |
2 |
4 |
8 |
16 |
... |
Write an explicit formula for this sequence.
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3. |
An explicit formula for a sequence is
an = (-1)n • 2.
List the first 5 terms of this sequence.
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4. |
Given the sequence: {1, 4, 9, 16, ...}
Write an explicit formula for this sequence.
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5. |
Given the sequence: {1, 5, 25, 125, ...}
Write an explicit formula for this sequence.
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6. |
Given the sequence: {10, 2, -6, -14, ...}
Write an explicit formula for this sequence.
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7. |
Given the sequence: 
Write an explicit formula for this sequence.
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8. |
Given the sequence: { 9, 14, 19, 24, ... }
a) List the next 3 terms of this sequence.
b) Write an explicit formula for this sequence.
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9. |
Given the sequence: { -20, -10, -5, ...}
a) List the next 2 terms of this sequence.
b) Write an explicit formula for this sequence.
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10. |
Given: {3, -5, 7, -9, 11, ...}
a) List the next 3 terms of this sequence.
b) Write an explicit formula for this sequence.
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