Answer:
[tex]u_{n}[/tex] = - 5.6n + 3.2
Step-by-step explanation:
The explicit formula for an arithmetic sequence is
[tex]u_{n}[/tex] = u₁ + (n - 1)d
where u₁ is the first term and d the common difference
To find u₁ use the given recursive formula
u₁ = u₀ - 5.6 = 3.2 - 5.6 = - 2.4
from the recursive formula d = - 5.6 , then explicit formula is
[tex]u_{n}[/tex] = - 2.4 - 5.6(n - 1) = - 2.4 - 5.6n + 5.6 = - 5.6n + 3.2
