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1. |
Find the 18th term of the sequence where a1 = 3 and d = 7. |
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A. |
122 |
B. |
136 |
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C. |
129 |
D. |
119 |
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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. |
 |
D. |
 |
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Hint |
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3. |
Determine the sum of an arithmetic series where n = 45, a1 = 14.3, and an = 80.3. |
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A. |
4257 |
B. |
2128.5 |
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C. |
3613.5 |
D. |
3627.8 |
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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. |
-1160, -1166, -1172 |
B. |
-1, -7, -13 |
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C. |
-115, -121, -127 |
D. |
20, 14, 8 |
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Hint |
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5. |
Find a9 for the geometric sequence  . |
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A. |
1 |
B. |
8 |
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C. |
4 |
D. |
16 |
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Hint |
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6. |
Determine the sum of the geometric series for which a1 = -486,  , and an = -6. |
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A. |
732 |
B. |
322.6 |
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C. |
325 |
D. |
-726 |
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Hint |
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7. |
 |
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A. |
 |
B. |
The sum does not exist. |
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C. |
28 |
D. |
 |
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Hint |
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8. |
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. |
-5, -4, -3, -2 |
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C. |
–4, -3, -2, -1 |
D. |
4, 3, 2, 1 |
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Hint |
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9. |
Find the eighth term of a geometric sequence for which a3 = 98 and r = 7. |
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A. |
1,647,086 |
B. |
823,543 |
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C. |
11,529,602 |
D. |
5,764,801 |
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Hint |
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10. |
Write the series 4 + 6 + 9 +  using sigma notation. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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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. |
 |
D. |
 |
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Hint |
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12. |
What is the 21st iterate of the function  if x0 = 3. |
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A. |
3 |
B. |
–1 |
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C. |
–19 |
D. |
–3 |
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Hint |
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13. |
What is the sixth term in the expansion of (t + 3u)7? |
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A. |
5103t2u5 |
B. |
5103t5u2 |
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C. |
63t2u5 |
D. |
63t5u2 |
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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. |
The sum of the exponents in each term is n |
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C. |
There are n + 1 terms. |
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 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. |
8(8k) = 8(9r + 1) |
B. |
(84 – 1) ÷ 9 = 455 |
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C. |
8 = 9 – 1 |
D. |
83 – 1 = 511, 511 ÷ 9 = 56.8 |
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Hint |
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16. |
Which of the following is a counterexample to the statement 8p – 3 is prime? |
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A. |
none of the above |
B. |
p = 4 |
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C. |
p = 3 |
D. |
p = 2 |
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Hint |
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