Find the next three terms in the sequen

1. 30, 22, 14, 6...
-3, -12, -21****
-1, -8, -15
-1, -2, 3
-2, -10, -18

4. Find the first four terms of the sequence represented by the expression.
4. 3n+5
5,8,11,14
8,11,14,17
3,6,9,12
0,8,11,14
(idk about this one)^^^^^^^^^
Find the next three terms in the sequence.
5. -1,9,19,29,...
38, 37,32
40,51,62
39,49,59 ****
38,47,56

7. A gas station charges $2.19 per gallon of gas. Use function notation to describe the relationship between the total cost C(g) and the number of gallons purchased g.
C (g)=-2.19g
g=2.19C(g)
C(g)=g+2.19
C(g)=2.19g****

Identify the sequence as arithmetric, geometric, or neither. Explain your answer.
1.6,0.8,0.4,0.2,

For number 1, I am subtracting 8
I don't get number four.

To find the next three terms in a sequence, we need to identify the pattern or rule that governs the sequence and apply it to get the next terms.

1. The given sequence is 30, 22, 14, 6. It appears that each term is obtained by subtracting 8 from the previous term.
So, to find the next three terms:
- Subtract 8 from 6 to get -2.
- Subtract 8 from -2 to get -10.
- Subtract 8 from -10 to get -18.

Therefore, the next three terms in the sequence are -2, -10, -18.

4. In this case, the given expression is 3n + 5, where n represents the position of each term in the sequence.
To find the first four terms of the sequence using this expression, substitute n = 1, 2, 3, and 4.
- When n = 1, 3(1) + 5 = 8.
- When n = 2, 3(2) + 5 = 11.
- When n = 3, 3(3) + 5 = 14.
- When n = 4, 3(4) + 5 = 17.

Therefore, the first four terms of the sequence are 8, 11, 14, 17.

5. The given sequence is -1, 9, 19, 29. It appears that each term is obtained by adding 10 to the previous term.
So, to find the next three terms:
- Add 10 to 29 to get 39.
- Add 10 to 39 to get 49.
- Add 10 to 49 to get 59.

Therefore, the next three terms in the sequence are 39, 49, 59.

7. The relationship between the total cost C(g) and the number of gallons purchased g is given as C(g) = 2.19g. This equation shows that the total cost is equal to the product of the number of gallons purchased and the cost per gallon ($2.19).

Therefore, the correct function notation to describe the relationship between the total cost C(g) and the number of gallons purchased g is C(g) = 2.19g.

Identifying a sequence as arithmetic, geometric, or neither depends on the pattern or rule that governs the sequence.

For the sequence 1.6, 0.8, 0.4, 0.2,...
- The terms are obtained by dividing each term by 2.

This sequence is a geometric sequence because each term is obtained by multiplying the previous term by a constant ratio (in this case, 1/2).

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