1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sever21 [200]
3 years ago
5

The first and third terms in the following Fibonacci sequence are x and y.

Mathematics
1 answer:
Dahasolnce [82]3 years ago
8 0

Answer:

<h3>The second term of the sequence is y-x</h3><h3>The fourth term of the sequence is 2y-x</h3><h3>The fifth term of the sequence is 3y-x</h3>

Step-by-step explanation:

The next term of a Fibonacci sequence is generated by taking the sum of the 2 preceding value of the sequence. Given the the first and third term of a Fibonacci sequence to be x and y

x, _, y...

let the second term be a, fourth term be b and fifth term be c to have the sequence;

x, a, y, b, c...

According to the definition;

x+a = y... 1

a+y = b... 2 and;

y+b = c... 3

From equation 1, a = y-x

Substituting a = y-x into equation 2 to get b we have;

(y-x)+y = b

2y-x = b

b = 2y-x

Substituting b = 2y-x into equation 3 to get 'c'

y +  2y-x = c

3y-x = c

c = 3y-x

The second term of the sequence is y-x

The fourth term of the sequence is 2y-x

The fifth term of the sequence is 3y-x

You might be interested in
Does the relation {(-2,2), (-7,1), (-3,9), (-8,4), (-9,5), (-6,8)) represent
Gelneren [198K]

Answer:

Yes

Step-by-step explanation:

This does represent a function because every x-value only goes to one y-value.

7 0
2 years ago
Part A: Solve the equation 4(x + 5) = 9x + 4x − 34, and show your work. (5 points)
nasty-shy [4]

The value of x in the equation 4(x + 5) = 9x + 4x − 34 is 6 after solving and applying properties.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have equation:

4(x + 5) = 9x + 4x − 34  (Given)

4x +20 = 9x + 4x − 34    (Distributive Property)

4x +20 +34 -4x = 9x + 4x − 34 + 34 -4x   (Subtraction Property of Equality)

54 = 9x + 4x − 34 + 34 -4x  (Addition Property of Equality)

54 = 9x  (Combine Like Terms)

x = 54/9   (Division Property of Equality)

x = 6

Thus, the value of x in the equation 4(x + 5) = 9x + 4x − 34 is 6 after solving and applying properties.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

3 0
1 year ago
Given ABCD, AC=38, and AE=3x+4, find the value of x
sasho [114]

ANSWER

D 5

EXPLANATION

The diagonals bisect each other so,

AE=CE

This implies that

3x+4+3x+4=38

6x+8=38

Group similar terms

6x=38-8

6x=30

x=5

5 0
2 years ago
Read 2 more answers
describe the relationship between n and 4 that will make the value of the expression 7× n/4 greater than 7
Norma-Jean [14]
So set up an equation!

7* n/4 > 7

So trying to get the variable alone...

n/4 > (7/7) aka 1
n> 1*4
n> 4

Try it out!

7* 6/4 = 42/4 = 21/2= 10 and 1/2

It is greater than 7
7 0
3 years ago
A book has 12 chapters. The mean length of the chapters is 40 pages. How many total pages are there in the 12 chapters?
amm1812

Answer:

480

Step-by-step explanation:

Important Information:

A Book Has 12 Chapters.

The Mean length of the chapters is 40 pages.

Question to Answer:

How many total pages are there in the 12 chapters?

Explanation/Solution:

Let's assume that the total number of pages in the book is "x" pages.  

To find the mean (average) we divide the total "x" by 12 because there are 12 chapters in the book, which would equal to 40.  

\frac{x}{12}=40

Multiply both sides by 12...

x = 480

Hence, The total number of pages in the 12 chapters is 480.

7 0
2 years ago
Other questions:
  • A train arrives at a station and waits 2 min before departing. Another train arrives at the station 18 minutes later, repeating
    14·2 answers
  • 6 (x + 2) = 4 (x − 5) pleaze help
    15·2 answers
  • Suppose an isotope has a half-life of 10 years. If you start with 50 grams of the isotope, how much of it will you have in 10 ye
    11·1 answer
  • A recipe for making 3 dozen muffins requires 1 1/2 cups of flour. How many cups of flour are required to make 5 dozen of the sam
    14·1 answer
  • Write 5 million in standard form
    8·1 answer
  • How do I draw and determine the equation of a trend line on a scatterplot
    6·1 answer
  • Can I please get some help with this?
    9·1 answer
  • Melissa wants to put a bird bath in her yard at point (x, y), and wants it to be is inside the enclosed shaded area shown in the
    8·1 answer
  • Please help with these two!!!
    14·1 answer
  • A 642.5 acre piece of land is being divided into 5-acre parcels.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!