Answer:
a
n
=
4
⋅
2
n
−
1
if it is a geometric sequence.
or could be:
a
n
=
1
3
(
2
n
3
−
6
n
2
+
16
n
)
if not.
Explanation:
There is a common ratio between successive pairs of terms:
8
4
=
2
16
8
=
2
32
16
=
2
So this looks like a geometric sequence with initial term
a
=
4
and common ratio
r
=
2
.
If so, the formula for the
n
th term is:
a
n
=
a
r
n
−
1
=
4
⋅
2
n
−
1
This is probably the answer expected by the questioner.
However, note that any finite sequence of terms does not determine an infinite sequence - unless you are told what kind of sequence it is - e.g. arithmetic, geometric, harmonic.
For example, we can match these first
4
terms with a cubic formula as follows:
Write down the sequence as a list:
4
,
8
,
16
,
32
Write down the sequence of differences between each pair of terms:
4
,
8
,
16
Write down the sequence of differences of this sequence:
4
,
8
Write down the sequence of differences of this sequence:
4
Having reached a constant sequence (albeit consisting of only one term), we can use the initial term of each of the sequences we have found as coefficients of a formula for the
n
th term:
a
n
=
4
0
!
+
4
1
!
(
n
−
1
)
+
4
2
!
(
n
−
1
)
(
n
−
2
)
+
4
3
!
(
n
−
1
)
(
n
−
2
)
(
n
−
3
)
=
4
+
(
4
n
−
4
)
+
(
2
n
2
−
6
n
+
4
)
+
(
2
3
n
3
−
4
n
2
+
22
3
n
−
4
)
=
2
3
n
3
−
2
n
2
+
16
3
n
=
1
3
(
2
n
3
−
6
n
2
+
16
n
Step-by-step explanation:
Enable to get the median. you have to put the numbers in order from least to greatest. Once you have done that, if there are two numbers in the middle, add them up and divide by 2.
your IQR is: 14.75
&& your Median is: 21.5
I believe. I hope this is right
Answer:3
Step-by-step explanation:
54 = 2(4x-3) + 2(x)
54 = 8x-6 + 2x
60 = 10x
6 = x
so two sides are 6 meters, and the other 2 sides are 21 meters
3/5=6/10 so Naomi got 138.
Luke got 69.
And Natalie got 23.
