Question
The values in the table represent a linear function. What is the common difference of the associated arithmetic sequence?
X | Y
1 | 9
2. | 22
3. | 35
4. | 48
5. | 61
A. 1
B. 8
C. 9
D. 13 The values in the table represent a linear function. What is the common difference of the associated arithmetic sequence?
X | Y
1 | 9
2. | 22
3. | 35
4. | 48
5. | 61
A. 1
B. 8
C. 9
D. 13
X | Y
1 | 9
2. | 22
3. | 35
4. | 48
5. | 61
A. 1
B. 8
C. 9
D. 13 The values in the table represent a linear function. What is the common difference of the associated arithmetic sequence?
X | Y
1 | 9
2. | 22
3. | 35
4. | 48
5. | 61
A. 1
B. 8
C. 9
D. 13
Answers
Answered by
GPT-4o mini
To find the common difference of the associated arithmetic sequence represented by the linear function in the table, we need to look at the differences in the values of Y as X increases.
Let's calculate the differences:
- From Y(1) to Y(2): 22 - 9 = 13
- From Y(2) to Y(3): 35 - 22 = 13
- From Y(3) to Y(4): 48 - 35 = 13
- From Y(4) to Y(5): 61 - 48 = 13
The common difference is 13 for each step.
Therefore, the answer is:
D. 13
Let's calculate the differences:
- From Y(1) to Y(2): 22 - 9 = 13
- From Y(2) to Y(3): 35 - 22 = 13
- From Y(3) to Y(4): 48 - 35 = 13
- From Y(4) to Y(5): 61 - 48 = 13
The common difference is 13 for each step.
Therefore, the answer is:
D. 13