Consider the sequence 7, 3, −1, −5,−9, … .

What is the explicit rule for the sequence?

Enter your answer in the box. Enter the simplified form of the rule.

an=

Step-by-step explanation:

The sequence has a common difference of 3-7 = -4 and a first term of 7. Using the explicit formula ...

  an = a1 +d(n -1)

we can fill in those values to find ...

  an = 7 -4(n -1)

  an = 11 -4n

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )

9987

step-by-step explanation: