The given sequence is shown in the table below.
n: 1 2 3 4 5
f(n): 48 -96 192 -384 768
This is a geometric sequence.
The first term is a₁ = 48.
The common ratio is r = -96/48 = -2.
The n-th term is a(n) = a₁(-2)ⁿ⁻¹.
Answer:
Geometric sequence
1st term = 48
Common ratio = -2
n-th term = 48(-2)ⁿ⁻¹
