The formula for any arithmetic sequence is an = a1 + d (n - 1), where an represents the value of the nth term, a1 represents the value of the first term, d represents the common difference, and n represents the term number. What is the formula for the sequence 10, 8, 6, 4, ... ?

an = 10 + 2 (n - 1)

an = 2 + 10 (n - 1)

an = - 2 + 10 (n - 1)

an = 10 + (-2) (n - 1)

Answer: an = 10 + (-2) (n - 1)

Step-by-step explanation:

In an arithmetic progression, the consecutive terms differ by a common difference. The formula for determining the nth term of an arithmetic sequence is expressed as

an = a + (n - 1) d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

Looking at the given sequence,

a = 10

d = 8 - 10 = 6 - 8 = - 2

Therefore, the formula for the sequence is

an = 10 + (n - 1) - 2

an = 10 + (-2) (n - 1)

an = 10 + (-2) (n-1)

Step-by-step explanation:

We are given from the sequence first term, a1 = 10

common difference, d = a2 - a1

Where; a2 = second term = 8

d = 8 - 10 = - 2

From the formula, an = a1 + d (n - 1),

We substitute the value of a1 and d

therefore, an = 10 + (-2) (n - 1)