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
murzikaleks [220]
3 years ago
7

Match the type of sequence to the appropriate example

Mathematics
1 answer:
notsponge [240]3 years ago
4 0

Step-by-step explanation:

1)

Considering the sequence

2, 9, 16, 23,...

This sequence is an arithmetic sequence as the common difference between consecutive terms is constant.

i.e. d = 9-2 = 7, d = 16-9 = 7, d = 23-16 = 7

2)

Considering the sequence

3, 15, 75, 375,...

This sequence is geometric sequence as the common ratio between consecutive terms is constant.

i.e. r = 15/3 = 5, r = 75/15 = 5

3)

Considering the sequence

0,4,4,8,...

This sequence is not in arithmetic sequence as the common difference is not same.

This sequence is also not in geometric sequence as the common ratio is not same.

As the 2nd and 3rd term is repeating, it means the next term i.e. 5th would be 8 as the 4th term is 8.

So, it will be a recursive sequence.

4)

y=(1.1)^{x}

As the base of this exponential function is greater than 1.

i.e. base>1 because 1.1 > 1.

Therefore, this function will have exponential growth.

5)

y=(\frac{1}{4})^{x}

As the base of this exponential function is less than 1. i.e. base because 1/4 < 1.

Therefore, this function will have exponential decay.

Keywords: exponential decay, exponential growth, arithmetic sequence, geometric sequence, recursive sequence

Learn more sequences from brainly.com/question/2984255

#learnwithBrainly

You might be interested in
Help!!<br><br> State two ways that you could use a slope of -5/3 to graph a line.
kondor19780726 [428]

Answer:

rise/run

Step-by-step explanation:

-5 how high/ low you go on y axis

3 how far you move left on the graph

7 0
3 years ago
Dbhshsnsbsbusgdhsbshjsshhsns
ExtremeBDS [4]

Step-by-step explanation:

Dbhshsnsbsbusgdhsbshjsshhsns

8 0
3 years ago
Read 2 more answers
Find the value of x and the value of y.
kodGreya [7K]

Answer:

6√3 = x           y =12

Step-by-step explanation:

Since the two sides of the triangles have equal angles then two sides have equal length

the sum of interior angles of triangles is 180° then the last angle is 60°

then the triangles have perfect sides of 12

y = 12

to calculate x

sin Ф = opposite/hypothenus

sin 60° = x/12

sin 60° = √3/2

( √3/2 )  x 12  = x

6√3 = x

3 0
3 years ago
Jeanne Crawford had $9,675.95 deposited in an account paying
Anni [7]

Answer:

a. $10,943.30

b. $1,267.35

Step-by-step explanation:

P = $9,675.95

r = 6.25% = 0.0625

t = Compounded Semiannually = 2

a. Amount after 2 Years

n = 2

A = P [1 + (r / n)]^nt

A = $9,675.95 [1 + (0.0625 / 2)]² ˣ ²

A = $9,675.95 [1 + 0.03125]⁴

A = $9,675.95 [1.03125]⁴

A = $9,675.95 x 1.130982

A = $10,943.30

b. Compound Interest

Compound Interest = Final Amount - Principal Amount

Compound Interest = $10,943.30 - $9,675.95

Compound Interest = $1,267.35

8 0
3 years ago
HELP ASAP PLZZZZ
Tcecarenko [31]
QUESTION 1

The given system of equations is

3d - e = 7...eqn(1)
d + e = 5...eqn(2)

To solve by linear combination, we add equation (1) to equation (2) to get,

3d  + d= 7 + 5


4d = 12


We divide through by 4 to obtain,


d =  \frac{12}{4}


d = 3


We put d=3 into equation (2) to get,



3+ e = 5


e = 5 - 3


e = 2


\boxed {The \: solution \: is  \: (3, 2)}



QUESTION 2


The given system is

4x + y = 5 ...eqn(1)

3x + y = 3 ...eqn(2)


To solve by linear combination, we subtract equation (2) from equation (1) to eliminate y from the equation.

This will give us,

4x - 3x = 5 - 3



This implies that,

x = 2


Put x=3 into equation (1) to get,

4(2) + y = 5

8+ y = 5


y = 5 - 8



y =  - 3

The solution is

(2,-3)



QUESTION 3

We want to solve the system;


a – 2b = –2 ....eqn(1)


2a + 2b = 14...eqn(2)

by linear combination.


We need to add equation (1) to equation (2) to eliminate b.


This implies that,

2a + a = 14 +  - 2




Simplify,

3a = 12



Divide both sides by 3 to get,


a = 4
Put a=4 into equation (2) to obtain,



2(4) + 2b = 14


8 + 2b = 14
2b = 14 - 8


2b = 6


b = 3


The ordered pair in the form (a, b) is

(4,3)



QUESTION 4

The given system of equations is


11x + 4y = 18 ...eqn(1)

3x + 4y = 2 ...eqn(2)


We subtract equation (2) from equation (1) to get,


11x - 3x = 18 - 2


8x = 16


x = 2


Put x=2 into equation (2) to obtain,


3(2) + 4y = 2


This implies that,


6 + 4y = 2


4y = 2 - 6


4y =  - 4


y=-1

The correct answer is (2,-1).




QUESTION 5

The given system is ;

2d + e = 8...eqn1

d – e = 4...eqn2


We add the two equations to eliminate e.


This implies that,

2d + d = 8 + 4


3d = 12



We divide both sides by 3 to get,


d = 4


We put d=4 into equation (2) to get,

4 - e = 4

- e = 4 - 4



- e = 0



e = 0


The solution is

(4,0)
7 0
3 years ago
Other questions:
  • Hepppppp Aspppppppppppp
    10·2 answers
  • 36 is 9% of what number
    10·2 answers
  • 8y + 4x + 6y=? Plz help
    15·2 answers
  • How many different values can an algebraic expression like 5+(x+2)
    12·1 answer
  • What number must you add to complete the square x^2+2x=9
    8·2 answers
  • Which zero pair could be added to the function f(x)=x^2+12x+6 so that the function can be written in vertex form?
    15·1 answer
  • Find the distance between the points L and D.<br><br>A)-2<br>B)0<br>C)1<br>D)2​
    11·1 answer
  • I need help asap ple​
    9·1 answer
  • Find the midpoint of PQ with endpoints P(0, 2) and Q(6, -2). Then write an equation of the line that passes through the midpoint
    9·1 answer
  • Translate the sentence into an equation.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!