Answer:
d = 5 , a₂₅ = 112
Step-by-step explanation:
(a)
The nth 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 = - 8 and a₁₆ = 67 , then
a₁ + 15d = 67
- 8 + 15d = 67 ( add 8 to both sides )
15d = 75 ( divide both sides by 15 )
d = 5
(b)
a₂₅ = - 8 + (24 × 5) = - 8 + 120 = 112
