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1. |
Find the arithmetic means of the sequence  |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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2. |
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A. |
–7 + 8 + (-9) + 10; 2 |
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B. |
–7 + (-8) + (-9) + (-10); -34 |
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C. |
7 + 8 + 9 + 10; 34 |
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D. |
7 – 8 + 9 – 10; -2 |
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Hint |
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3. |
Write the first four terms of the geometric sequence in which a1 = -3 and r = -4. |
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A. |
3, -12, 48, -192 |
B. |
3, 12, 48, 192 |
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C. |
–3, -12, -48, -192 |
D. |
-3, 12, -48, 192 |
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Hint |
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4. |
What is the sum of the first eight terms of the geometric series for which a1 = -4 and r = -2? |
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A. |
1020 |
B. |
256 |
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C. |
340 |
D. |
1024 |
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Hint |
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5. |
Determine the sum of the geometric series for which a1 = -486,  , and an = -6. |
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A. |
322.6 |
B. |
325 |
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C. |
-726 |
D. |
732 |
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Hint |
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6. |
The length of the arc of the swing of a pendulum is 120 mm. If the length of the arc of each succeeding swing is decreased by 10%, find the total distance the pendulum travels before it stops. |
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A. |
1200 mm |
B. |
1000 mm |
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C. |
800 mm |
D. |
90 mm |
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Hint |
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7. |
Find the first four terms of the sequence in which a1= -5 and
an+1 = an + 1. |
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A. |
–4, -3, -2, -1 |
B. |
4, 3, 2, 1 |
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C. |
-5, -4, -3, -2 |
D. |
5, 4, 3, 2 |
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Hint |
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8. |
What is the eleventh term of an arithmetic sequence in which a1 = 3 and d = 6? |
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A. |
36 |
B. |
39 |
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C. |
69 |
D. |
63 |
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Hint |
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9. |
Which of the following is not a series? |
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A. |
8 + 2 + 2 + 2 + … |
B. |
6 – 3 – 3 – 3 – … |
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C. |
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D. |
5 + 7 + 9 + 11 + … |
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Hint |
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10. |
Find the eighth term of a geometric sequence for which a3 = 98 and r = 7. |
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A. |
1,647,086 |
B. |
5,764,801 |
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C. |
11,529,602 |
D. |
823,543 |
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Hint |
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11. |
Write the infinite geometric series in sigma notation if a1 = 3 and the sum is 6. |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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12. |
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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13. |
Evaluate  |
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A. |
504 |
B. |
126 |
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C. |
1 |
D. |
252 |
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Hint |
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14. |
What is the sixth term in the expansion of (t + 3u)7? |
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A. |
5103t2u5 |
B. |
63t5u2 |
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C. |
5103t5u2 |
D. |
63t2u5 |
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Hint |
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15. |
Which of the following supports the claim that –4 + x = 9? |
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A. |
x is negative |
B. |
x = –5 |
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C. |
x is positive |
D. |
x = 5 |
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Hint |
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16. |
Which statement is a valid counterexample to the statement 6n + 6n is divisible by 12? |
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A. |
2 |
B. |
3 |
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C. |
1 |
D. |
4 |
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Hint |
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