![adrian08022](/avatars/33142.jpg)
adrian08022
09.10.2021 •
Mathematics
In the grid show,the numbers 1,2,3,4,5 and 6 are to be placed,one per square.The sum of the numbers in the row is 11.The sum of the numbers in the column is also 11.What is the number in the box with the w.? 20 points if you answer plz
Solved
Show answers
More tips
- F Food and Cooking 10 Reasons Why You Should Avoid Giving Re-Gifts: An Informative Guide...
- F Family and Home How to Sew Curtain Tapes: Best Tips from Professionals...
- A Animals and plants How to Grow Lime from a Seed: Simple Tips and Interesting Facts...
- C Computers and Internet How to Create a Folder on Your iPhone?...
- G Goods and services How to sew a ribbon: Tips for beginners...
- F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
- C Computers and Internet Which Phone is Best for Internet Surfing?...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
Answers on questions: Mathematics
- M Mathematics Which expression is equivalent to 6(3n-4) a. 9n - 10 b. 18n - 24 c. 18 - 4 d. 3n - 24...
- M Mathematics What value of x is a solution to 8-2/5x -6?...
- M Mathematics Which of the following above figures is ab=ac...
- M Mathematics 1. which is the equation of a circle with center (–2, 3) and radius r = 5? (x + 2)² + (y – 3)² = 10 (x + 2)² + (y – 3)² = 25 (x – 2)² + (y + 3)² = 10 (x – 2)² + (y + 3)² = 25...
- M Mathematics Hi, i need with #28 & #29 asap! (see picture for the questions)...
- M Mathematics Based on the cards shown below, what is p(odd and red)?...
- M Mathematics Adogs leash allows him to walk in a circle the leash is 6ft long what is the size of the yard inside the circle the dog can walk...
- M Mathematics Use the line graph below to answer the question. a line graph shows the number of music downloads per month. january had 15 downloads. february had 24 downloads. march had 30...
- M Mathematics How many meters per hour can the falcon fly...
- M Mathematics Row= 1, 2, 3, 4 seats = 8, 14, 20, 26 how many seats are in the 14th...
Ответ:
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: