Question

Write a linear equation that represents the arithmetic sequence 10, 8, 6, 4, ...

A. an = 10 - 2(n-1)
B. an = 10 + 2(n + 1)
C. an = 2 + 10(n-1)
D. an = 10 + 2(n-1)​

Answer 1

A

Explanation:

an = 10 – 2(n – 1)

Answer 2

A

Explanation:

The n th term of an arithmetic sequence is

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 10 and d = 8 - 10 = - 2, thus

`a_(n)` = 10 - 2(n - 1) → A