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
sergiy2304 [10]
3 years ago
6

What is the formula for the general term of the arithmetic sequence 1, 5, 9, 13, …?

Mathematics
1 answer:
stiks02 [169]3 years ago
5 0
The formula is

             a(n) = a(n-1) + 4 .

But to completely describe the sequence you've given,
these specifications also need to be stated:

             a(1) = 1
and
             n > 1 .
You might be interested in
On a coordinate plane, point B is at (1, negative 1). Point B has coordinate B(1, –1). What is the coordinate of B' under a scal
Ray Of Light [21]

Answer:

(3,-3)

Step-by-step explanation:

If a coordinate (x, y) is dilated by a factor k, the resulting coordinate will be (kx, ky)

Given the coordinate (1, -1), if dilated by a factor of 3, the resulting coordinate will be (3(1), 3(-1)) = (3, -3)

Hence the required coordinate will be (3,-3)

6 0
3 years ago
The graphs below have the same shape. What is the equation of the blue<br>graph?​
Semenov [28]

Answer:

the answer is d

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

vertex- (5,0)

focus- (5,1/4)

axis of symmetry-  x=5

directrix- y=-1/4

ps. can u mark me brainliest if i get this aswer right plz????

thank u!!!!

5 0
3 years ago
Helppp!! I NEED HELP PLEASE
Elodia [21]

Given:

The table of values for the function f(x).

To find:

The values f^{-1}(f(3.14)) and f(f(-7)).

Solution:

From the given table, it is clear that the function f(x) is defined as:

f(x)=\{(-14,11),(-7,-12),(-12,-5),(9,1),(10,-2),(-2,13)\}

We know that if (a,b) is in the function f(x), then (b,a) must be in the function f^{-1}(x). So, the inverse function is defined as:

f^{-1}(x)=\{(11,-14),(-12,-7),(-5,-12),(1,9),(-2,10),(13,-2)\}

And,

f^{-1}(f(a))=f^{1}(b)

f^{-1}(f(a))=a              ...(i)

Using (i), we get

f^{-1}(f(3.14))=3.14

Now,

f(f(-7))=f(-12)

f(f(-7))=5

Therefore, the required values are f^{-1}(f(3.14))=3.14 and f(f(-7))=5.

5 0
3 years ago
A rectangular-prism-shaped toy chest is 2m by 1m by 1m. A shipping crate is packed with 18 of these toy chests. There is no extr
Alika [10]
2*1*1= 2 m^3 per chest

2 m^3 per chest* 18 chests= 36 m^3 total

Final answer: 36 m^3
7 0
3 years ago
Read 2 more answers
what is the smallest positive integer a such that the intermediate value theorem guarantees a zero exists between 0 and a?
liberstina [14]

The smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.

What is the intermediate value theorem?

Intermediate value theorem is theorem about all possible y-value in between two known y-value.

x-intercepts

-x^2 + x + 2 = 0

x^2 - x - 2 = 0

(x + 1)(x - 2) = 0

x = -1, x = 2

y intercepts

f(0) = -x^2 + x + 2

f(0) = -0^2 + 0 + 2

f(0) = 2

(Graph attached)

From the graph we know the smallest positive integer value that the intermediate value theorem guarantees a zero exists between 0 and a is 3

For proof, the zero exists when x = 2 and f(3) = -4 < 0 and f(0) = 2 > 0.

<em>Your question is not complete, but most probably your full questions was</em>

<em>Given the polynomial f(x)=− x 2 +x+2 , what is the smallest positive integer a such that the Intermediate Value Theorem guarantees a zero exists between 0 and a ?</em>

Thus, the smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.

Learn more about intermediate value theorem here:

brainly.com/question/28048895

#SPJ4

4 0
1 year ago
Other questions:
  • Gragh each of the following linear functions f(x)=5+2x
    13·1 answer
  • Although the actual amount varies by season and time of​ day, the average volume of water that flows over the falls each second
    15·1 answer
  • Find the value of x.
    6·1 answer
  • How many planets are there
    11·2 answers
  • A bag of peanuts weights 8 1/3 pounds. One serving
    13·1 answer
  • HELPP PLZ MY TEACHER IS COLLECTING PAPERS!!!!
    9·1 answer
  • Find the length of the hypotenuse
    15·1 answer
  • You have just secured a job at a web development company. You get paid $19.50 an hour and work
    14·1 answer
  • Decompose 2 ⅜ Plz help
    9·1 answer
  • Find the area of the trapezoid. {?} Square centimeters
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!