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.
For the first sequence, to find the next three terms, we can observe that each term is decreasing by 8. Therefore, the next three terms would be:
-2, -10, -18 (option -2, -10, -18 is correct).
For the second sequence, the expression given is 3n + 5. When we substitute values of n into this expression, we get:
n = 1: 3(1) + 5 = 8
n = 2: 3(2) + 5 = 11
n = 3: 3(3) + 5 = 14
n = 4: 3(4) + 5 = 17
So, the first four terms of the sequence are:
8, 11, 14, 17 (option 8, 11, 14, 17 is correct).
For the third sequence, we can see that each term is increasing by 10. Therefore, the next three terms would be:
39, 49, 59 (option 39, 49, 59 is correct).
In the given relation for question 7, C(g) represents the total cost of the gas, and g represents the number of gallons purchased. The relation C(g) = 2.19g correctly represents the relationship between the total cost and the number of gallons purchased, as the cost per gallon is $2.19.
Regarding the last question, the given sequence 1.6, 0.8, 0.4, 0.2 is a geometric sequence. Each term is half of the previous term, indicating a common ratio of 1/2.
To find the next three terms in a sequence, we can look for a pattern in the given terms. Let's analyze each question one by one:
1. The given sequence is 30, 22, 14, 6... By observing the difference between consecutive terms, we can see that each term is decreasing by 8. Therefore, the next three terms would follow this pattern and be: -2, -10, -18.
4. The expression given is 3n + 5. By substituting different values of n, we can generate terms of the sequence. Let's try n = 0, 1, 2, 3:
When n = 0: 3(0) + 5 = 5
When n = 1: 3(1) + 5 = 8
When n = 2: 3(2) + 5 = 11
When n = 3: 3(3) + 5 = 14
Therefore, the first four terms of the sequence represented by the expression 3n + 5 are 5, 8, 11, 14.
5. The given sequence is -1, 9, 19, 29... By observing the difference between consecutive terms, we can see that each term is increasing by 10. Therefore, the next three terms would follow this pattern and be: 39, 49, 59.
7. The relationship between the total cost C(g) and the number of gallons purchased g is described by the equation C(g) = 2.19g. Therefore, the correct function notation to describe this relationship is C(g) = 2.19g.
Identifying the sequence as arithmetic, geometric, or neither often requires analyzing the ratio between consecutive terms or the difference between consecutive terms. However, in the case of the given sequence 1.6, 0.8, 0.4, 0.2, we cannot identify a consistent pattern. The terms do not have a constant difference or a constant ratio, so we would conclude that this sequence is neither arithmetic nor geometric.