Write an expression to describe the sequence below. use n to represent the position of a term in the sequence, where n = 1 for the first term.

-6, -5, -4, -3,

The expression to describe this sequence is Aₙ =  (n - 1) * 1  - 6

Step-by-step explanation:

1. Let's write an expression to describe the sequence which first four terms are as follows:

- 6, -5, -4, - 3

Aₙ = (n - 1) * 1  - 6; A₁ = - 6

A₁ = (n - 1) * 1  - 6 = (1 - 1) * 1  - 6 = 0 * 1 - 6 ⇒A₁ = - 6

A₂ = (n - 1) * 1  - 6 = (2 - 1) * 1  - 6 = 1 * 1 - 6⇒ A₁ = - 5

A₃ = (n - 1) * 1  - 6 = (3 - 1) * 1  - 6 = 2 * 1 - 6⇒ A₁ = - 4

A₄ = (n - 1) * 1  - 6 = (4 - 1) * 1  - 6 = 3 * 1 - 6⇒ A₁ = - 3

A₅ = (n - 1) * 1  - 6 = (5 - 1) * 1  - 6 = 4 * 1 - 6⇒ A₁ = - 2

A₆ = (n - 1) * 1  - 6 = (6 - 1) * 1  - 6 = 5 * 1 - 6⇒ A₁ = - 1

A₇ = (n - 1) * 1  - 6 = (7 - 1) * 1  - 6 = 6 * 1 - 6⇒ A₁ = 0

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b