Question

PLEASE HELP ASAP, WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!

Answer 1

Answer:

D.  y = -6x + 38

Step-by-step explanation:

Equation of a sequence

We are given the following sequence of numbers corresponding to the positions x={1,2,3,4,5,...}

y={32,26,20,14,8....}

To find the equation of the sequence, we must recall the general term of a sequence is:

$a_x=a_1+(x-1).r$

Where r is the common difference between two consecutive terms, an and a1 are the x-th and the first terms respectively.

We can find the value of r by subtracting any pair of consecutive terms:

r = 26-32 = 20-26 = 14-20 = -6

Now we apply the formula:

y=32+(x-1).(-6)

Operating:

y=32-6x+6

y = -6x + 38

Answer:

D.   y = -6x + 38