Use the table to answer the question.

Question

x | y
2 | a
4 | b
Use the arithmetic sequence formula A n = -8 + (n - 1) x 2 to find the missing values in the table.
A. A = -15; b = -13
B. A = -12; b = -10
C. A = -10; b = -8
D. A = -6; b = -2

Answer 1

To find the missing values in the table, we can plug in the values of x and solve for y using the arithmetic sequence formula.

For x = 2, the formula becomes A2 = -8 + (2 - 1) x 2
Simplifying, A2 = -8 + (1) x 2
A2 = -8 + 2
A2 = -6

For x = 4, the formula becomes A4 = -8 + (4 - 1) x 2
Simplifying, A4 = -8 + (3) x 2
A4 = -8 + 6
A4 = -2

Therefore, the missing values in the table are: a = -6 and b = -2.

The correct answer is D. A = -6; b = -2.