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1. |
Determine the 10th term of the sequence –17, -13, -9, . . . |
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A. |
36 |
B. |
-53 |
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C. |
53 |
D. |
19 |
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Hint |
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2. |
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A. |
7 + 8 + 9 + 10; 34 |
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B. |
–7 + (-8) + (-9) + (-10); -34 |
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C. |
–7 + 8 + (-9) + 10; 2 |
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D. |
7 – 8 + 9 – 10; -2 |
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Hint |
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3. |
Express  as a rational number of the form  . |
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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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4. |
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. |
1000 mm |
B. |
90 mm |
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C. |
1200 mm |
D. |
800 mm |
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Hint |
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5. |
Use Pascal's Triangle to expand (a - x)3. |
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A. |
a3 - 3a2x + 3ax2 - x3 |
B. |
a3 + 3a2x - 3ax2 + x3 |
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C. |
a3 - 3a2x - 3ax2 - x3 |
D. |
a3 + 3a2x + 3ax2 + x3 |
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Hint |
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6. |
What is the eleventh term of an arithmetic sequence in which a1 = 3 and d = 6? |
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A. |
69 |
B. |
39 |
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C. |
63 |
D. |
36 |
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Hint |
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7. |
Which of the following is not a series? |
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A. |
8 + 2 + 2 + 2 + … |
B. |
5 + 7 + 9 + 11 + … |
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C. |
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D. |
6 – 3 – 3 – 3 – … |
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Hint |
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8. |
Write an equation for the nth term of the geometric sequence 5, 15, 45, 135, …. |
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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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9. |
Write an equation for the nth term of the geometric sequence 7, 6,  ,  , …. |
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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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10. |
Find a1 in a geometric series for which S12 = 3071.25 and r = 2. |
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A. |
 |
B. |
 |
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C. |
3 |
D. |
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Hint |
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11. |
Write the series 4 + 6 + 9 +  using sigma notation. |
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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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12. |
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. |
3n |
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C. |
5 + 3n |
D. |
3an-1 |
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Hint |
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13. |
What is the 21st iterate of the function  if x0 = 3. |
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A. |
3 |
B. |
–19 |
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C. |
–1 |
D. |
–3 |
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Hint |
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14. |
Expand (4x + 2y)4. |
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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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15. |
Is it true that 10n – 1 is divisible by 9? |
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A. |
no, since 105 – 1 = 100001 |
B. |
yes, for all integers n |
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C. |
no, since 105 – 1 = 99999 |
D. |
no, since 105 – 1 = 49 |
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Hint |
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16. |
In induction, the statement is proven after which step? |
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A. |
after n = k + 1 is proven |
B. |
after n = 1 is proven |
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C. |
after we assume true for n = 1 |
D. |
after (k + 1)2 is added to each side. |
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Hint |
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