# 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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