A sequence can be arithmetic, geometric or neither.
The sequence is (c) -19, -9, 1, 11
In this case, the sequence is an arithmetic sequence, and it is represented with the following formula
[tex]\mathbf{y = 10x - 29}[/tex]
When x = 1, we have:
Substitute 1 for x in [tex]\mathbf{y = 10x - 29}[/tex]
[tex]\mathbf{y = 10 \times 1 - 29}\\[/tex]
[tex]\mathbf{y =- 19}[/tex]
When x = 2, we have:
Substitute 2 for x in [tex]\mathbf{y = 10x - 29}[/tex]
[tex]\mathbf{y = 10 \times 2 - 29}[/tex]
[tex]\mathbf{y = - 9}[/tex]
When x = 3, we have:
Substitute 3 for x in [tex]\mathbf{y = 10x - 29}[/tex]
[tex]\mathbf{y = 10 \times 3 - 29}[/tex]
[tex]\mathbf{y = 1}[/tex]
When x = 4, we have:
Substitute 4 for x in [tex]\mathbf{y = 10x - 29}[/tex]
[tex]\mathbf{y = 10 \times 4 - 29}[/tex]
[tex]\mathbf{y = 11}[/tex]
So, the corresponding y values when x = 1, 2, 3 and 4 are -19, -9, 1 and 11.
Hence, the sequence is (c) -19, -9, 1, 11
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