Find an equation for the nth term of the arithmetic sequence. 8, 6, 4, 2, ...

Options:

an = 8 + - 2 (n)

an = 8 - 2

an = 8 + - 2 (n + 1)

an = 8 + - 2 (n - 1)

Answer: an = 8 + - 2 (n - 1)

Step-by-step explanation:

The formula for determining the nth term of an arithmetic sequence is expressed as

an = a + d (n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 8

Common difference is the term - the previous consecutive term. Therefore,

d = 6 - 8 = 4 - 6 = - 2

We want to determine the equation for the nth term of the arithmetic sequence. It becomes

an = 8 + - 2 (n - 1)

The answer is

An = 8 + - 2 (n-1)