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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. |
Determine the sum of an arithmetic series where n = 45, a1 = 14.3, and an = 80.3. |
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A. |
3613.5 |
B. |
4257 |
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C. |
2128.5 |
D. |
3627.8 |
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Hint |
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3. |
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. |
-1, -7, -13 |
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C. |
-1160, -1166, -1172 |
D. |
-115, -121, -127 |
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Hint |
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4. |
Find a9 for the geometric sequence  . |
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A. |
16 |
B. |
4 |
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C. |
1 |
D. |
8 |
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Hint |
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5. |
Identify a1 in a geometric series for which S8 = 42.5 and r = -0.5. |
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A. |
64 |
B. |
 |
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C. |
63.75 |
D. |
1.5 |
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Hint |
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6. |
 |
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A. |
 |
B. |
28 |
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C. |
The sum does not exist. |
D. |
 |
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Hint |
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7. |
What are the first six terms of the sequence in which a1= 7 and
an+1= an - 3? |
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A. |
7, -3, 4, 1, 2, -1 |
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B. |
–3, 7, -8, -2, -5, -8 |
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C. |
1, 2, 7, 9, 12, 17 |
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D. |
7, 4, 1, -2, -5, -8 |
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Hint |
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8. |
Which of the following is an arithmetic sequence that will include the number 62? |
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A. |
an = 1 + 12n |
B. |
an = 2 + 5n |
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C. |
an = 3 + 4n |
D. |
an = 3 – 4n |
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Hint |
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9. |
What is the ninth term of a geometric sequence if the third term is 36 and the fourth term is 72? |
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A. |
432 |
B. |
2304 |
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C. |
4608 |
D. |
108 |
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Hint |
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10. |
Evaluate  . |
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A. |
7.5 |
B. |
10.5 |
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C. |
6 |
D. |
15 |
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Hint |
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11. |
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. |
 |
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. |
5 + 3n |
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C. |
3n |
D. |
3an-1 |
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Hint |
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13. |
Expand (4x + 2y)4. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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14. |
What is the sixth term in the expansion of (t + 3u)7? |
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A. |
5103t5u2 |
B. |
63t5u2 |
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C. |
5103t2u5 |
D. |
63t2u5 |
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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 = 9 – 1 |
B. |
(84 – 1) ÷ 9 = 455 |
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C. |
8(8k) = 8(9r + 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. |
p = 4 |
B. |
p = 2 |
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C. |
none of the above |
D. |
p = 3 |
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Hint |
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