Use the arithmetic sequence formula a,

Question

8 + (n - 1) . 2 to find the missing values in the tabl
(1 point)
O a-=-12;b=-10
○ a=-10;b=-8
O a=-15;b=-13
O a=-6;b=-2

Answer 1

To find the missing values in the table, we can use the arithmetic sequence formula:

a + (n - 1)d

Substituting the given values into the formula:

a = 8
d = 2

To find the missing value for b, we need to find the value of n.

For case 1: a = -12, b = ?
-12 + (n - 1) * 2 = 8
(n - 1) * 2 = 20
n - 1 = 10
n = 11

Using n = 11 in the formula, we can find b:

b = a + (n - 1) * d
b = (-12) + (11 - 1) * 2
b = -12 + 10 * 2
b = -12 + 20
b = 8

Therefore, for case 1: a = -12, b = 8.

For case 2: a = -10, b = ?
-10 + (n - 1) * 2 = 8
(n - 1) * 2 = 18
n - 1 = 9
n = 10

Using n = 10 in the formula, we can find b:

b = a + (n - 1) * d
b = (-10) + (10 - 1) * 2
b = -10 + 9 * 2
b = -10 + 18
b = 8

Therefore, for case 2: a = -10, b = 8.

Comparing the calculated values with the given options, we can see that the correct answer is:

O a = -12, b = 8.