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1. |
Find the arithmetic means of the sequence  |
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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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2. |
Determine the sum of an arithmetic series where n = 45, a1 = 14.3, and an = 80.3. |
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A. |
4257 |
B. |
3613.5 |
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C. |
2128.5 |
D. |
3627.8 |
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Hint |
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3. |
What is Sn if a1 = 27.5, d = 1.5, and n = 35? |
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A. |
1245 |
B. |
98,175 |
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C. |
1855 |
D. |
2152.5 |
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Hint |
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4. |
Find a9 for the geometric sequence  . |
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A. |
4 |
B. |
16 |
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C. |
1 |
D. |
8 |
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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. |
325 |
B. |
-726 |
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C. |
732 |
D. |
322.6 |
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Hint |
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6. |
Express  as a rational number of the form  . |
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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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7. |
Determine the first five iterates of the function f(x) = 2x + 10 if the initial value is -12. |
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A. |
–14, -18, -26, -42, -74 |
B. |
–12, -14, -18, -26, -42 |
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C. |
12, -14, -18, -26, -42 |
D. |
12, 14, -18, 26, -42 |
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Hint |
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8. |
Find the expansion of  . |
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A. |
a4 + 8a3 + 16a2 + 8a + 2 |
B. |
16a + a3 + 6a2 + 16a + 16 |
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C. |
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D. |
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Hint |
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9. |
Which of the following is an arithmetic sequence that will include the number 62? |
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A. |
an = 2 + 5n |
B. |
an = 3 – 4n |
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C. |
an = 3 + 4n |
D. |
an = 1 + 12n |
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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 a1 in a geometric series for which S12 = 3071.25 and r = 2. |
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A. |
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B. |
3 |
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C. |
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D. |
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Hint |
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12. |
Write the infinite geometric series in sigma notation if a1 = 3 and the sum is 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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13. |
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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14. |
Which of the following is not a pattern in the binomial expansion of (a + b)n? |
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A. |
The sum of the exponents in each term is n |
B. |
There are n + 1 terms. |
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C. |
The coefficients are symmetric. They increase at the beginning of the expansion and decrease at the end. |
D. |
In successive terms, the exponent of a increases by one, and the exponent of b decreases by one. |
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Hint |
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15. |
Which statement is a valid counterexample to the statement 6n + 6n is divisible by 12? |
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A. |
4 |
B. |
2 |
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C. |
1 |
D. |
3 |
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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 positive real numbers |
B. |
all integers |
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C. |
all real numbers |
D. |
positive integers |
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Hint |
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