# Precalculus: Sequences and Series Arithmetic Sequences

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### State the general term for the following arithmetic sequence: 28, 42, 56...

$$t_n = 14n+14$$
$$t_n = 14n+7$$
$$t_n = 7n+7$$
$$t_n = 7n+14$$

### State the general term for the following arithmetic sequence: 53, 49, 45...

$$t_n = 57-n$$
$$t_n = 57-2n$$
$$t_n = 57-3n$$
$$t_n = 57-4n$$

### State the general term for the following arithmetic sequence: -1, -111, -221...

$$t_n = 109-n$$
$$t_n = 109-110n$$
$$t_n = 51-110n$$
$$t_n = 109-55$$

29
30
31
32

11
12
13
14

14
15
16
17

70
75
80
85

### 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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