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, …



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 ter
**Answer:**


**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


