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Precalculus: Sequences and Series Arithmetic Sequences
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True or False? An arithmetic sequence is a sequence that has a constant difference between terms
True
False
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State the general term for the following arithmetic sequence: 28, 42, 56...
$$t_n = 14n+14$$
$$t_n = 14n+7$$
$$t_n = 7n+7$$
$$t_n = 7n+14$$
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State the general term for the following arithmetic sequence: 53, 49, 45...
$$t_n = 57-n$$
$$t_n = 57-2n$$
$$t_n = 57-3n$$
$$t_n = 57-4n$$
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State the general term for the following arithmetic sequence: -1, -111, -221...
$$t_n = 109-n$$
$$t_n = 109-110n$$
$$t_n = 51-110n$$
$$t_n = 109-55$$
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Determine the number of terms for the following arithmetic sequence: $$7, 9, 11, 13, ... , 63$$
29
30
31
32
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Determine the number of terms for the following arithmetic sequence: $$9, 16, 23, 30, ... , 100$$
11
12
13
14
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Determine the number of terms for the following arithmetic sequence: $$31, 27, 23, 19, ... , -25 $$
14
15
16
17
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Determine \(t_{11}\) for the following arithmetic sequence: $$35, 40, 45, ... $$
70
75
80
85
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Determine the recursive formula for the following arithmetic sequence: $$31, 20, 9, ... $$
\(t_1 = 31, t_{n-1}-11\) where \(n>1\)
\(t_1 = 31, t_{n-1}-10\) where \(n>1\)
\(t_1 = 31, t_{n+1}-11\) where \(n>1\)
\(t_1 = 31, t_{n-1}-11\) where \(n=0\)
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Patrick gets a job and starts out earning \$9.25 an hour. Her manager promises him a raise of \$0.15 an hour after each month of work. When will Janice start earning at least twice her starting wage?
61 months
62 months
63 months
64 months
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Precalculus Playlist
19 Videos
01:50:07
103 Questions
0 Notes
The Basics
Functions and Relations
Classification of Numbers
Domain and Range
What is an Asymptote?
Radicals Review
Reflections
Intro to Exponential Functions
More on Trigonometry
Radians
Special Triangles
Determining if Triangles Exist
Ambiguous Case for Sine Law
Intro to Cycles, Periods, and Periodic Functions
Sequences and Series
What is a Recursive Formula
Arithmetic Sequences
Geometric Sequences
Arithmetic Series
Geometric Series
Simple Interest
Compound Interest