Answer:
a.) 14 - 9 = 5
19 - 14 = 5
Common difference is 5.
You can find the next three terms by adding 5 each time.
24+5 = 29
29+5 = 34
34+5= 39
9, 14, 19, 24, 29, 34, 39
b.) is not and is not
Explanation:
Arithmetic sequences have a pattern that is linear. Because of this, they do have a constant rate of change using addition or subtraction. This means that the same value is added or subtracted each time to get the next value. It is known as a common difference. Tank 2 is arithmetic because you subtract 40 each time to get the next volume.
Example: 14 - 9 = 5
19 - 14 = 5
Common difference is 5.
You can find the next three terms by adding 5 each time.
24+5 = 29
29+5 = 34
34+5= 39
9, 14, 19, 24, 29, 34, 39
However in b, there is not a common difference.
2-1 = 1
3-2 = 1
5-3 = 2
The difference are not all the same so there is no common difference. This is not arithmetic.