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1. |
What are the next four terms of the arithmetic sequence
122, 111, 100, . . . ? |
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A. |
92, 88, 84, 80 |
B. |
95, 90, 85, 80 |
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C. |
89, 78, 67, 56 |
D. |
94, 88, 82, 76 |
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Hint |
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2. |
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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3. |
Find the first three terms of the arithmetic series in which a1 = 6,
an = 201, and Sn = 4140. |
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A. |
5, 10, 15 |
B. |
6, 5, 40 |
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C. |
6, 46, 86 |
D. |
6, 11, 16 |
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Hint |
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4. |
What are the first three terms of the arithmetic series if a1 = -1,
an = -115, and Sn = -1160? |
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A. |
20, 14, 8 |
B. |
-115, -121, -127 |
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C. |
-1, -7, -13 |
D. |
-1160, -1166, -1172 |
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Hint |
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5. |
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. |
1024 |
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C. |
256 |
D. |
340 |
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Hint |
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6. |
If it exists, what is the sum of the infinite series  |
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A. |
The sum does not exist. |
B. |
20 |
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C. |
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D. |
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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. |
4, 3, 2, 1 |
D. |
-5, -4, -3, -2 |
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Hint |
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8. |
Juanita started a savings account with the $200 she received for her birthday. The bank pays 4% interest compounded annually. Find the balance in the account after 4 years. Round the answer to the nearest dollar. |
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A. |
$208 |
B. |
$225 |
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C. |
$216 |
D. |
$234 |
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Hint |
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9. |
Find the expansion of  . |
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A. |
16a + a3 + 6a2 + 16a + 16 |
B. |
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C. |
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D. |
a4 + 8a3 + 16a2 + 8a + 2 |
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Hint |
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10. |
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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11. |
Find the eighth term of a geometric sequence for which a3 = 98 and r = 7. |
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A. |
823,543 |
B. |
1,647,086 |
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C. |
11,529,602 |
D. |
5,764,801 |
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Hint |
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12. |
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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13. |
Write  as a fraction. |
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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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14. |
Which of the following is not a pattern in the binomial expansion of (a + b)n? |
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A. |
The coefficients are symmetric. They increase at the beginning of the expansion and decrease at the end. |
B. |
In successive terms, the exponent of a increases by one, and the exponent of b decreases by one. |
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C. |
There are n + 1 terms. |
D. |
The sum of the exponents in each term is n |
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Hint |
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15. |
Which of the following is a counterexample to the statement 8k – 1 = 9r for all k, where k and r are integers? |
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A. |
83 – 1 = 511, 511 ÷ 9 = 56.8 |
B. |
(84 – 1) ÷ 9 = 455 |
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C. |
8(8k) = 8(9r + 1) |
D. |
8 = 9 – 1 |
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Hint |
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16. |
Mathematical induction proves statements about which of the following? |
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A. |
all integers |
B. |
positive integers |
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C. |
all real numbers |
D. |
all positive real numbers |
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Hint |
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