An arithmetic sequence is given below.
14, 11, 8 , 5 , ...
Write an explicit formula for the n^th term a(n).
help me understand this plzz, no file just answer

Answers

Answer 1

Answer:

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

a(n) = 17 - 3n

Step-by-step explanation:

14, 11, 8 , 5 , ...

The given sequence above is an Arithmetic sequence and the explicit formula is given as:

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

Where

a = First term = 14

n = number of terms

d = common difference

The common difference =

Second term - First term or Third term - Second term

= 11 - 14 or 8 - 11 or 5 - 8

= -3

Therefore, the explicit formula for the nth term a(n) is written as:

a(n) = 14 + (n - 1)-3

a(n) = 14 -3n + 3

a(n) = 14 + 3 - 3n

a(n) = 17 - 3n

The explicit formula a(n) =

a(n) = 17 - 3n


Related Questions

select ALL the answers that are correct.

Answers

Answer:

A,C

Step-by-step explanation:

What are the answers I will give brainlyest

Answers

Answer:

The answer to number 7 is x=4

HELP IM SORRY PLESAADNSKSKSNX

Answers

Answer:

hey, what is your question?

Step-by-step explanation:

Answer:

wheres the question

Step-by-step explanation:

Express as a trinomial.
(3x+8)(x + 6)

Answers

Answer:

multiply 3x by x then multiply 8 by 6 and get 48. since 8 and 6 are products of 48 they give a sum of 14 therefore your trinomial is

3x²+14x+48

-1/2x - 3 =4
which is the value of x?

Answers

Answer:

x = -14

(っ◔◡◔)っ ♥ Hope It Helps ♥

Answer:

-14

Step-by-step explanation:

-1/2x - 3 = 4

-1/2x = 4 + 3

x = 7 * -2

x = -14

Han's house is 450 meters from school. Lin’s house is 135 meters closer to school. How far is Lin’s house from school?

Answers

the answe is the answer is 8

PLEASE HELP!
Write the equation of a parabola with focus (−2,4) and directrix = 6.
SHOW YOUR WORK!!

Answers

I will give you the answer if you give me brainliest answer

3x+3=108 PLSSS help Giving brainliest!!

Answers

Answer:

x=35

Step-by-step explanation:

3x+3=108

3x=108-3

3x= 105

x= 105/3

x=35

In the diagram, the measure of angle 8 is 124º, and the measure of angle 2 is 84°​

Answers

Answer:

whats the question?

Step-by-step explanation:

Answer:

Angle 7 = 56 °

Step-by-step explanation:

Angles 8 and 7 = 180 degrees

To get the degree of angle 7 subtract 124 from 180

180 - 124 = 56 degrees

Angle 7 = 56 degrees

2(x - 9) = 10 can somebody solve this please using a method

Answers

Answer:

x=14

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

2(x - 9) = 10

2x - 18 = 10

add 18 o each side of the equation:

2x = 28

divide both sides by 2:

x = 14

please help I have no clue how to do this​

Answers

Step-by-step explanation:

It's a question of trigonometry.

You need to remember that tangent (tan) stands for Perpendicular / Base.

So, tan P = QR / PR

By Pythagoras Theorem,

34² = 30² + x²

x² = 34² - 30²

x² = 1156 - 900

x² = 256

x = 16

Now, placing the values,

tan P = 30 / 16

tan P = 1.875

HOPE IT HELPS ^_^

What is the mean of the values in the dot plot?

Answers

Answer:

Mean=19.5

Step-by-step explanation:

Mean= (16x1 + 17x4 + 19x4 + 21x1 + 22x2 + 23x1 + 25x1)/14=273/14=19.5

Solve for z: 10 = 2 = -25(4z -3)​

Answers

Answer:

z = 13/20

Step-by-step explanation:  

The steps are in the pictures below!

I think z is 13/20 good luck!

BRAINLY TO WHOEVER HELPS

Determine which of the following could NOT represent the sides of a right triangle.
A) 3,4,5
B) 1,2,3
C) 5,12,13
D) 6,8,10

Answers

Answer:

A, C and D

Step-by-step explanation:

B is left out because the hypotenuse of 1 and 2 will be appx 2.24 but the rest are good to go

-6 + 7k = -7(1 - k) solve this equation with 1 answer please

Answers

Answer: 13

Step-by-step explanation:

-6 + 7k = -7(1 - k)

(-7 x -1 = 7)

(-7 x -k = 7)

-6 +7k = 7+7k

7k-7k = 6+7

k = 13

( 0 always equals to the pronumeral given

what is the difference between 479,310 and 214,991?

Answers

264, 319 is the answer if you subtract 479, 310 from 214,991

Answer:

264,319

Step-by-step explanation:

A difference is a subtraction problem.

Subtract 214,991 from 479,310.

479,310 - 214,991 = 264,319

A circle is centered on point B. Points A, C and D lie on its circumference.
If ZABC measures 40°, what does ZADC measure?

Answers

Given:

A circle is centered on point B.

Points A, C and D lie on its circumference.

If [tex]m\angle ABC[/tex] measures 40°.

To find:

The [tex]m\angle ADC[/tex].

Solution:

Central angle theorem: According to this theorem, the central angle is equal to the twice of inscribed angle on the same intercepted arc.

In the given figure [tex]\angle ABC[/tex] is the central angle and [tex]m\angle ADC[/tex] is the inscribed angle on the same arc AC.

Using central angle theorem, we get

[tex]m\angle ABC=2m\angle ADC[/tex]

[tex]40^\circ=2m\angle ADC[/tex]

[tex]\dfrac{40^\circ}{2}=m\angle ADC[/tex]

[tex]20^\circ=m\angle ADC[/tex]

Therefore, the measure of angle ADC is 20°.

help me BRAINLES tysm​

Answers

Area of a rectangle= length x width
Triangle a= 8 x 3 = 24cm squared
Triangle b= 7 x 2 = 14inches squared

Hope this helped

b.
Assume the trend in the numbers of users tripling each year was true for all years from 2001 to
2009. Complete the table below using 2005 as year 1 with 3 million as the number of users that
year.
-3
-2
-1
0
1
2
3
4
5
Year
# of
users in
millions
3

Answers

B because it’s the right answer and um not lying no cap

Solve the following inequality

x−3>7
Question 3 options:

x>10

x<10

x>4

x<4

Answers

Answer:

x>10

Step-by-step explanation:

x-3>7

x>7+3

x>10

(When switiching sides, you do the opposite operation hence you add 3 when it goes onto the other side)

Hope it helps!

Answer:

x > 10

Step-by-step explanation:

x - 3 > 7

 + 3  +3

x > 10

A rectangular front porch has a perimeter of 46 feet. Its area is 126 square feet. What are
the dimensions of the porch?

Answers

Answer:

9ft by 14ft

Step-by-step explanation:

Area:

9 x 14 = 126

Perimeter:

9 + 9 + 14 + 14 = 46

Can someone do this plsssss I need it for right now

Answers

Answer:

C

Step-by-step explanation:

If you count the hours by how much each answer choice is giving you, you will get the answer. (First job is 4 hours and a few mins. Answer choice C is $6 an hour. So 4 times 6 is 24 plus the extra minutes.)

.
In the hands of someone with harmful intentions, how can analogies prove to be dangerous tools?
A)Analogies can create long-lasting confusion that prevents people from making decisions.
B)Analogies make significant connections seem far less powerful than they actually are.
C)Analogies meant to persuade or influence people are often disguised as explanations.
D)Analogies, even weak and misleading ones, can be powerful tools of persuasion.

Answers

Answer:

I believe, its D.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

PLZZZ HELPPPP, How many 2 inch cubes will fit into the box below if it is filled completely full?

Answers

Answer:

30 cubes

Step-by-step explanation:

10 x 4 x 6 = 240 in³

2 x 2 x 2 = 8 in³

240/8 = 30 cubes

Answer:

I believe 240

Step-by-step explanation:

Since ur multtiplying

10 times 4 times 6 you get 240

Solve for x and y simultaneously if:
x+4=2y and y2-xy+21=0

Answers

Answer:

Step-by-step explanation:

x=−10, y=−3

x=10, y=7

y=7,x=10

y=−3,x=−10

On a coordinate plane, triangle A B C is shown. Point A is at (0, 0), point B is at (3, 4), and point C is at (3, 2).
What is the area of triangle ABC?

2.5 square units
3 square units
3.5 square units
4 square units

Answers

Answer:

It is B. 3 square units, i took the test and got a 100%

Step-by-step explanation:

edge2021

The area of the triangle on a coordinate plane is 3 square units option (B) 3 square units is correct.

What is the triangle?

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a triangle on a coordinate plane shown in the picture.

Triangle ABC has vertices A, B, and C at  (0, 0), (3, 4), and (3, 2).

         

As we know, the area of the triangle is given by:

Area = (1/2)heightxbase length

Or

Area = (1/2)ADxBC

Area = (1/2)3x2

Area = (6/2)

Area = 3 square units

Thus, the area of the triangle on a coordinate plane is 3 square units option (B) 3 square units is correct.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ5

prove that underroot 3-underroot 5 is irrational.​
Please quickly I need this answer

Answers

Answer:

See Explanation

Step-by-step explanation:

Let us assume that [tex] \sqrt 3 - \sqrt 5[/tex] is a rational number.

So, it can be expressed in the form of [tex] \frac{p}{q} [/tex] where p and q are integers.

[tex]\therefore \sqrt 3 - \sqrt 5=\frac{p}{q}[/tex]

[tex]\therefore \sqrt 3 =\frac{p}{q}+ \sqrt 5[/tex]

[tex]\therefore \sqrt 3 =\frac{p+q\sqrt 5}{q}[/tex]

Squaring both sides:

[tex] (\sqrt 3) ^2 =\bigg(\frac{p+q\sqrt 5}{q}\bigg ) ^2 [/tex]

[tex]\therefore 3 =\frac{p^2 +5q^2 +2\sqrt 5 pq}{q^2 } [/tex]

[tex]\therefore 3q^2 ={p^2 +5q^2 +2\sqrt 5 pq}[/tex]

[tex]\therefore 0 = p^2 +5q^2 -3q^2 +2\sqrt 5 pq [/tex]

[tex]\therefore - 2\sqrt 5 pq=p^2 +2q^2 [/tex]

[tex]\therefore \sqrt 5 = \bigg (\frac{p^2 +2q^2}{-2pq} \bigg) [/tex]

[tex]\therefore \sqrt 5 = - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) [/tex]

Since, p and q are integers so [tex] - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) [/tex] is rational.

[tex]\therefore \sqrt 5 [/tex] is also rational.

But it contradicts the fact that [tex]\sqrt 5 [/tex] is irrational.

Hence, our assumption that [tex] \sqrt 3 - \sqrt 5[/tex] is rational is wrong.

[tex] \therefore \sqrt 3 - \sqrt 5[/tex] is irrational.

Which one is the correct one

Answers

Step-by-step explanation:

Sum of opposite angles are supplementary,

x + 60 + 3x = 180

4x + 60 = 180

4x = 180 - 60

4x = 120

x = 120 / 4

x = 30

Which number line represents the solution for 5x greater than 30

Answers

Your answer is letter G

It's G bc of the full dot and the line going up.

a number times 12 is 72. which equation fits this statement?

Answers

Answer:

12x = 17

Step-by-step explanation:

So, this is a standard variable equation, so a number (I did x because I'm basic) times, multiplied by, whatever 12 = 72

So a number times 12 is 72 = 12x = 17

Now, if you wanted to actually solve this equation, you just have to do inverse operations:

17 ÷ 12 = 1.4167 (rounded)

So x = 1.4167

hope this helps:)

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