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1. |
Write an equation for the nth term of the arithmetic sequence
18, 30, 42, 54, 66, . . . . |
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A. |
an = n + 18 |
B. |
an = 12n + 6 |
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C. |
an = 18n + 12 |
D. |
an = 30n + 6 |
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Hint |
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2. |
What are the first three terms of the arithmetic series if a1 = -1,
an = -115, and Sn = -1160? |
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A. |
-1160, -1166, -1172 |
B. |
20, 14, 8 |
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C. |
-115, -121, -127 |
D. |
-1, -7, -13 |
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Hint |
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3. |
Find the next two terms of the geometric sequence 64, -32, 16, -8, . . . . |
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A. |
-4, 2 |
B. |
-16, -32 |
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C. |
4, -2 |
D. |
16, -32 |
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Hint |
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4. |
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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5. |
Find the sum of the geometric series –5, -10, -20, -40, . . . for 7 terms. |
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A. |
-689 |
B. |
-599 |
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C. |
-635 |
D. |
-527 |
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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. |
90 mm |
B. |
1000 mm |
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C. |
1200 mm |
D. |
800 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. |
5, 4, 3, 2 |
B. |
4, 3, 2, 1 |
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C. |
-5, -4, -3, -2 |
D. |
–4, -3, -2, -1 |
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Hint |
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8. |
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. |
12, 14, -18, 26, -42 |
D. |
–14, -18, -26, -42, -74 |
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Hint |
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9. |
What is the seventh term of (x - y)8? |
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A. |
-8xy7 |
B. |
-35xy7 |
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C. |
8xy7 |
D. |
-28xy7 |
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Hint |
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10. |
What is the equation of an arithmetic sequence in which a1 = 3 and d = 6? |
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A. |
an = –3 + 6n |
B. |
an = 6 + 3n |
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C. |
an = 3 + 3n |
D. |
an = 3 + 6n |
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Hint |
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11. |
Chavez needs to buy gasoline every week for a year (52 weeks). The first week he spends $10.00. If the amount he spends increases by $0.10 every week, how much will he spend on gasoline this year? |
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A. |
$572 |
B. |
$667.80 |
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C. |
$652.60 |
D. |
$657.80 |
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Hint |
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12. |
Find the sum of a geometric series for which a1 = 23,328, an = 3, and r =  . |
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A. |
27,993 |
B. |
27,990 |
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C. |
19,440 |
D. |
23,327 |
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Hint |
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13. |
What is the value of r in an infinite geometric series 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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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. |
Which of the following supports the claim that –4 + x = 9? |
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A. |
x = –5 |
B. |
x is positive |
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C. |
x = 5 |
D. |
x is negative |
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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 (k + 1)2 is added to each side. |
D. |
after we assume true for n = 1 |
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Hint |
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