Question

Identify the type of sequence shown in the table below and select the appropriate response. f(n) n 1 48 2 −96 3 192 4 -384 5 768

Answer 1

Answer: Geometric sequence; common ratio is −2

Answer 2

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