An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The table that represents an arithmetic sequence is the third table.
<h3>What is arithmetic sequence?</h3>
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
aₓ = a₁ + (x-1)d
where d is the difference and a₁ is the first term of the sequence.
For the table to be in an arithmetic sequence, the difference between any two consecutive terms must be equal.
- For the first table, the difference between the first two terms is -6, while for the next two terms it is -12. Thus, it is not an arithmetic sequence.
- In the second table, the difference between the first two terms is 2 while the difference between the next two terms is 4. Thus, it is not an arithmetic sequence.
- In the third table, the difference between the first two terms is 1.4, the difference between the next two terms is 1.4. Also, it last two terms the difference is 1.4. Thus, it is an arithmetic sequence.
Hence, the table that represents an arithmetic sequence is the third table.
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Answer:
3
Step-by-step explanation:
due to the fact I really don't know
Answer:
2
Step-by-step explanation:
Slope (m) is equal to the change in the y-coordinate divided by the change in the x-coordinate.
The change in y= 6
The change in x= 3
6/3 =2
C, or the last photo, shows a reflection.
Answer:
The answers A, B, and C all work for this problem. The answer D is the only one that does not.
Step-by-step explanation:
When looking at two parenthesis being multiplied together and being equal to 0, we know that at least one of the parenthesis must be equal to 0 for it to be true. In A and C, the first parenthesis will be equal to 0 due to a = -6.
(a + 6)
(-6 + 6)
(0)
And in B, we can see that the second parenthesis would be equal to 0 due to b = 1
(b - 1)
(1 - 1)
(0)
Now we can try the D options, but will note that they do not work for either parenthesis.
(a + 6)(b - 1)
(0 + 6)(0 - 1)
(6)(-1)
