Multiple Choice
Identify the
letter of the choice that best completes the statement or answers the question.
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1.
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Could
the following list of terms be an arithmetic sequence?
1, 10, 19, 28, 37, . . .
If so, what is the common difference? a. | Yes;
9 | c. | Yes;
–9 | b. | Yes; 11 | d. | Not an arithmetic sequence | | | | |
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2.
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Find
the 22nd term in the following arithmetic sequence.
9, 4, –1, –6, –11, . . .
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3.
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Bob
is going on a trip and wants to buy some apples and oranges to take as snacks. Apples cost $0.66
each, and oranges cost $0.86 each. If Bob has $10.38 and buys 4 apples, how many oranges can he
purchase?
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4.
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Bob
is going on vacation and has to drive 298 miles. If he has already gone 58 miles in one hour and his
current speed is 60 miles per hour, how long will it take him to reach his
destination? a. | 4
hours | c. | 7
hours | b. | 5 hours | d. | 6 hours | | | | |
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5.
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Could
the following terms be a geometric sequence?
5, –13, 41, –121, 362, . . .
If so, what is the common ratio? a. | Yes;
–5 | c. | Yes;
–1 | b. | Yes; 3 | d. | Not a geometric sequence | | | | |
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6.
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Using
first and second differences, calculate the next three terms in the following
sequence.
1, 10, 22, 38, 59, . . .
a. | 79, 111,
151 | c. | 85, 119,
161 | b. | 86, 120,
162 | d. | 84, 121,
164 | | | | |
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Matching
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Match each of the following vocabulary words with its
definition. a. | arithmetic
sequence | e. | common
difference | b. | terms | f. | input | c. | geometric
sequence | g. | common
ratio | d. | output | h. | inverse variation | | | | |
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7.
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an
ordered list of numbers that has a common ratio between consecutive terms
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8.
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an
ordered list of numbers in which the difference between consecutive terms is always the
same
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9.
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the
difference between any two successive terms in an arithmetic sequence
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10.
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a
relationship in which one variable quantity increases as another variable quantity decreases and the
product of the variables is a constant
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11.
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the
ratio each term is multiplied by to produce the next term in a geometric sequence
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12.
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the
value substituted into an expression or function
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Essay
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13.
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Use
the pattern below to answer the following questions:
**
***
****
***
****
****
Term 1 Term 2
Term 3
a) How many dots are there in the 5th term of the
pattern?
b) How many dots
in the 20th term of the pattern?
c) Write a rule to find the number of dots in the nth term of this
pattern.
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