Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Write the first five terms of the sequence. (Assume
that n begins with 1.)
a. | 1, –14, –21, –28,
–35 | b. | 1, –6, –13, –20,
–27 | c. | 1, 9, 17, 25, 33 | d. | 8, 1, –6, –13, –20 | e. | –15, –22, –36, –36,
–43 |
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2.
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Find the sum.
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3.
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Determine whether the sequence is arithmetic. If
so, find the common difference.
8, 13, 18, 23,
28
a. | –5 | b. | 3 | c. | not
arithmetic | d. | 8 | e. | 5 |
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4.
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Determine whether the sequence is arithmetic. If
so, find the common difference. (Assume that n begins with 1.)
a. | 1 | b. | –1 | c. | 6 | d. | not
arithmetic | e. | –6 |
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5.
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Find a formula for an for the
arithmetic sequence.
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6.
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Write the first five terms of the arithmetic
sequence.
a. | 7, 10, 13, 16, 19 | b. | 4, 7, 11, 15, 19 | c. | 4, 1, –2,
–5, –8 | d. | 4, 12, 36, 108,
324 | e. | 4, 7, 10, 13, 16 |
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7.
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Write the nth term of the arithmetic
sequence as a function of n.
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8.
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Find the indicated nth partial sum of the
arithmetic sequence.
1.9, 4.8, 7.7, 10.6, ....,
n=20
a. | 588 | b. | 590 | c. | 589 | d. | 419 | e. | 647 |
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9.
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Write the first five terms of the geometric
sequence.
a. |  | b. |  | c. | –3, 12, –48, 192, –768 | d. | –3, –7, –11, –15, –19
| e. |  |
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10.
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Write the nth term of the geometric sequence
as a function of n.
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11.
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Match the geometric sequence with its graph from
the choices below.
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12.
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Find the sum using the formulas for the sums of
powers of integers.
a. | –1482 | b. | –494 | c. | –374 | d. | –120 | e. | 78 |
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13.
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Find a quadratic model for the sequence with the
indicated terms.
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14.
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Use the Binomial Theorem to expand and simplify the
expression.
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15.
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Use the Binomial Theorem to expand the complex
number. Simplify your result.
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16.
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17.
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Nine weightlifters are competing in the dead-lift
competition. In how many ways can the weightlifters finish first, second, and third (no
ties)?
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18.
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Find the number of diagonals of a nonagon (9
sides). (A line segment connecting any two nonadjacent vertices is called a diagonal of the
polygon.)
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19.
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Solve for n.
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20.
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You are given the probability that an event will
not happen. Find the probability that the event will happen.
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