Question

Which function models the sequence?

4
,
−
8
3
,
16
9
,
−
32
27
,
...

A.
h
(
x
)
=
4
(
−
2
3
)
x

B.
h
(
x
)
=
−
6
(
−
2
3
)
x

C.
h
(
x
)
=
−
4
(
−
2
3
)
x

D.
h
(
x
)
=
6
(
−
2
3
)
x

Answer 1

The sequence is geometric with first term 4 and common ratio −2/3 (4·(−2/3)=−8/3, etc.). So h(x)=4(−2/3)^x (with x=0 giving the first term). Answer: A.