9514 1404 393
Answer:
a(n) = 1/2(-8)^(n-1)
Step-by-step explanation:
The general term of a geometric sequence is ...
a(n) = a(1)×r^(n-1)
where a(1) is the first term, and r is the common ratio.
Here, the first term is a(1) = 1/2. The common ratio is the ratio of any two sequential terms: r = 32/-4 = -8. Then the explicit formula is ...
a(n) = 1/2(-8)^(n-1)
