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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)

2 Answers

1 vote
The answer is
An= 8+ -2(n-1)
User Zertosh
by
4.4k points
6 votes

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

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)

User Srdan Ristic
by
4.6k points