Which function describes the arithmetic sequence shown?

-5, - 7, - 9, - 11, - 13, ...

A) ƒ (x) = - 3x + 2

B) ƒ (x) = - 2x + 3

C) ƒ (x) = - 3x - 2

D) ƒ (x) = - 2x - 3

f (x) = - 2x-3

Step-by-step explanation:

Step 1:

Let the sequence given here is - 5, - 7, - 9, - 11, - 13 ...

Here the first term (a₁) of sequence is - 5

And the common difference between the numbers in the sequence is

d = (-7 - (-5)) = - 7+5 = - 2

Let the number of terms be x

Step 2;

To find the sequence function basic arithmetic sequence formula is

aₙ = a₁ + d (x-1)

Applying the values we get

f (X) = - 5 + ((-2) (X-1))

on simplification

f (X) = - 5 + (-2X+2)

f (X) = - 5+2-2X

f (X) = - 3-2X