Question

The first term of an arithmetic sequence is 8. The difference of this sequence is 2. Which equation can be used to find the nth term in the sequence, an,?
F2n + 6
G)
an = 2n + 8
H)
am = 8n + 2
Jan = 8n - 2

Answer 1

Answer:

$a_{n}$ = 2n + 6

Step-by-step explanation:

The nth 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 = 8 and d = 2 , then

$a_{n}$ = 8 + 2(n - 1) = 8 + 2n - 2 = 2n + 6