Question

Equation for geometric sequence 6,12,24,48,96

Answer 1

Answer:

a(n)=6*2^(n-1)

Step-by-step explanation:

a(n)=a(1)r^(n-1)

a(1) = 6

a(2)=6r^1=12

r=2

a(n)=6*2^(n-1)

Answer 2

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
2
2
gives the next term. In other words,
a
n
=
a
1
⋅
r
n
−
1
a
n
=
a
1
⋅
r
n
-
1
.
Geometric Sequence:
r
=
2
r
=
2
This is the form of a geometric sequence.
a
n
=
a
1
r
n
−
1
a
n
=
a
1
r
n
-
1
Substitute in the values of
a
1
=
6
a
1
=
6
and
r
=
2
r
=
2
.
a
n
=
(
6
)
⋅
(
2
)
n
−
1
a
n
=
(
6
)
⋅
(
2
)
n
-
1
Remove parentheses.
a
n
=
6
⋅
2
n
−
1