Answer:
d = 4
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁ = - 2 and a₈ = 26 , then
- 2 + 7d = 26 ( add 2 to both sides (
7d = 28 ( divide both sides by 7 )
d = 4
Answer:
d = 4
Step-by-step explanation:
a₁ = -2
a₈ = aₙ = 26
n = 8
aₙ = a₁ + d(n-1)
d = aₙ - a₁ / (n-1)
d = 26 -(-2) / (8-1)
d = 26 + 2 / 7
d = 28 / 7
d = 4
-2
-2 + 4 = 2
2 + 4 = 6
6 + 4 = 10
10 + 4 = 14
14 + 4 = 18
18 + 4 = 22
22 + 4 = 26
