Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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A sequence is given by 2, 5, 8, 11, ... . What are the next two terms in the
sequence?
A | 13, 16 | B | 14, 16 | C | 14,
17 | D | 15, 18 | E | 15, 19 |
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2.
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A sequence is given by 1, 4, 7, 10, ... . Which term is equal to 22?
A | The 7th term | B | The 8th term | C | The 9th
term | D | The 10th term | E | The 11th term |
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3.
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A sequence is given by 11, 7, 3, –1, ... What is the seventh term of the
sequence?
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4.
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Write down the first four terms of the sequence if e1 = 4 and
en = 2en–1 + 5.
A | 4, 5, 6, 7 | B | 4, 5, 9, 14 | C | 4, 13, 31, 67
| D | 0, 5, 15, 35 | E | –9, 3, 21,
57 |
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5.
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Find the common difference of the arithmetic progression below.
3, 7, 11,
15, 19, ...
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6.
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Find the 68th term of the arithmetic progression below.
5, 8, 11, 14, 17,
...
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7.
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Write the general term of the arithmetic sequence –5, –2, 1,
4, 7, ...
A | tn = 3n – 8 | B | tn
= 3n – 5 | C | tn = –3n –
2 | D | tn = –3n + 5 | E | tn
= –5n + 3 |
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8.
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If the 28th term of an arithmetic progression is 137, and the 45th term is 222,
find the 4th term.
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9.
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An arithmetic series starts with 6, ends with 131 and contains 26 terms. Find
its sum.
A | 1776 | B | 1781 | C | 1786 | D | 3562 | E | 3568 |
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10.
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Find the sum of the first 24 terms of the arithmetic series 1 + 6 + 11 + 16 +
...
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11.
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How many terms of the arithmetic sequence 1, 5, 9, 13, ... must be added
for the total to exceed 1255?
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12.
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If the 37th term of an arithmetic progression is 110, and the sum of the first
20 terms is 610, find the 6th term.
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13.
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When Tom starts work, he is paid $200 the first day, then $4 more every day
after that, until he has worked 40 days, after which his pay will not change. What is his final daily
wage?
A | $240 | B | $352 | C | $354 | D | $356 | E | $360 |
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14.
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When Tom starts work, he is paid $200 the first day, then $4 more every day
after that. What are his total earnings after he has worked 12 days?
A | $2664 | B | $2688 | C | $3542 | D | $5328 | E | $5376 |
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15.
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Two girls are making a pyramid out of rectangular blocks. Each layer contains
four less bricks than the layer it is sitting on. The girls want the pyramid to be 16 bricks high.
What is the smallest number of bricks they will need?
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