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
Gnom [1K]
3 years ago
5

The first five terms of an arithmetic sequence are shown below: 20, 17, 14, 11, 8, . . . Let n represent the term number and f(n

) the term in the sequence. The function represents the sequence.
Mathematics
3 answers:
anygoal [31]3 years ago
8 0

Answer:

Function representing the sequence will be f(n) = (23 - 3n)

Step-by-step explanation:

The first five terms of an arithmetic sequence are as 20, 17, 14, 11, 8....

Let n represents the number of term and f(n) the the term in the sequence.

Then we have to find the function that represents the sequence.

As we know explicit formula of an arithmetic sequence is given by

T_{n}=a+(n-1)d Or the function representing the sequence will be

f(n) = a + (n-1)d

where a represents first term of the sequence a = 20

and common difference d = 17-20 = (-3).

Now the function which represents this sequence will be

f(n) = 20 + (n-1)(-3) = 20 - 3n + 3 = 23 - 3n

Leona [35]3 years ago
6 0

Answer: 17 -3n

Explanation:

In the given arithmetic progression 20,17,14,11,8....

first term that is a = 20

common difference that  is d=  a2-a1 = 17-20 = -3

let n is the nth term

a_{n} = a+(n-1)d

substituting the values of first, common,difference and n

a_{n} =20+(n-1) (-3)

                        = 20 -3n+3

                         =23 -3n

Naetoosmart2 years ago
0 0

A) f(n) = -3n + 23

You might be interested in
Suppose the length and width of the box in exercise 12 double. Does the surface area S double? Explain
Blizzard [7]
No, it does not.

In general, surface area is the sum of the areas of each face of a prism.  In a rectangular prism, we have length, width, and height.  

The area of the bottom of the prism and the top of the prism is the same, and can be represented as l*w.  This means that together, it is 2lw.

The area of the left and right faces of the prism is the same, and can be represented as l*h.  This means that together, it is 2lh.

The area of the front and back faces of the prism is the same, and can be represented as w*h.  This means that together, it is 2wh.

This gives us the equation

SA = 2lw+2lh+2wh

If we double the length and width, making them each 2l, we then have:

SA = 2(2l*2w) + 2(2l*h) + 2(2w*h)
      = 2(4lw) + 4lh + 4wh
      = 8lw + 4lh + 4wh

If the surface area had been doubled, we would expect 
4lw + 4lh + 4wh

No, it is not doubled.
4 0
3 years ago
Please help asap please i give brainliest
Fudgin [204]

Answer:

D.

Step-by-step explanation:

If wrong so sorry I am a bit rusty

4 0
2 years ago
Read 2 more answers
Neil started a stamp collection with 12 stamps. Every week , he adds 4 more stamps to the collection. Which function? F represen
svlad2 [7]

Answer:

s=4w+12

Step-by-step explanation:

Let

s -----> the number of stamps

w ----> the number of weeks

we know that

The linear equation that represent this situation is

s=4w+12 ----> equation of the line into slope intercept form

where

the slope m is equal to m=4\ stamps/week

the y-intercept b is equal to b=12\ stamps ---> (the initial value)

7 0
3 years ago
Zach and Ginny are building model cars. Ginny's car is 2 more than 3 times the length of Zach's car. The sum of the lengths of b
Neporo4naja [7]

Answer:

x+(3x+2)=30

Step-by-step explanation:

Let

x ----> the length of Zach's car

y ----> the length of Ginny's car

we know that

The sum of the lengths of both cars is 30 inches

so

x+y=30 ----> equation A

Ginny's car is 2 more than 3 times the length of Zach's car

so

y=3x+2 ----> equation B

substitute equation B in equation A

x+(3x+2)=30

8 0
3 years ago
How the transformations of the functions f(x)=15tanx and g(x)=tanx+15 differ?
Irina-Kira [14]
The transformation of <span>f(x)=15tanx would be achieved by dilating y</span>=tanx graph 15 times. This transformation will cause y'=15 y. This will increase the value of dilation become 15 times of the original

The transformation of g(x)=15tanx would be achieved by shifting y=tanx graph 15 right. This transformation will cause x'=x+15. This will change the value from tan x into tan(x+15)
3 0
3 years ago
Read 2 more answers
Other questions:
  • Tonya took out a loan to help pay for her house. She borrowed $70,000 for 15 years at a yearly simple interest rate of 5%. How m
    10·1 answer
  • Can I get some help with this problem?
    9·1 answer
  • 6 city commissioners 17 candidates how many ways can this be done
    15·1 answer
  • What is the least common denominator of 8 and 12
    8·1 answer
  • What are the two ways to determine if something is a function
    15·2 answers
  • Find the measure of the indicated angle to the nearest degree
    7·1 answer
  • Express an order pair the fact a 16 line ad cost $50
    7·1 answer
  • List all of the prime numbers<br> between 10-20.
    11·1 answer
  • 100 points will mark BRAINLYEST
    13·1 answer
  • Given the function h(x) = 3(5)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3. Part A: Find the average
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!