What is the next term of the geometric sequence?
4/9,-4/3,4,...
2 answers:
Answer: 9 is the answer
Step-by-step explanation:
Answer:
- 12
Step-by-step explanation:
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by
−
3
gives the next term. In other words,
a
n
=
a
1
⋅
r
n
−
1
.
Geometric Sequence:
r
=
−
3
This is the form of a geometric sequence.
a
n
=
a
1
r
n
−
1
Substitute in the values of
a
1
=
4
9
and
r
=
−
3
.
a
n
=
(
4
9
)
⋅
(
−
3
)
n
−
1
Combine
4
9
and
(
−
3
)
n
−
1
.
a
n
=
4
(
−
3
)
n
−
1
9
Substitute in the value of
n
to find the
n
th term.
a
4
=
4
(
−
3
)
(
4
)
−
1
9
Simplify the numerator.
Tap for more steps...
a
4
=
4
⋅
−
27
9
Simplify the expression.
Tap for more steps...
a
4
=
−
12
You might be interested in
Answer:
Same length
24 ÷ 2=12
There is 12 inches in a foot
1 + 1= 2 ft
24 inches = 2 feet
Not sure, but i think it's 4
Pi. I don't know what the square root is doing there because it has no number under it.
