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The first five terms of an arithmetic sequence are
1 4 7 10 13
Write down an expression, in terms of n, for the nth term of this sequence.

Answers

Answer 1

Answer:

2n-4

Step-by-step explanation:

it isn't actually lololololol reeeeèeee. Nah jk it is

Answer 2

The expression that represents the nth term of this sequence is 3n - 2

How to determine the nth term of the sequence?

The first five terms of the arithmetic sequence are given as:

1 4 7 10 13

The above sequence has the following properties

First term, a = 1Common difference, d = 3

The nth term of the sequence is then calculated using:

an = a + (n -1)d

So, we have:

an = 1 + (n - 1) * 3

This gives

an = 1 + 3n - 3

Evaluate the common terms

an = 3n - 2

Hence, the expression that represents the nth term of this sequence is 3n - 2

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Related Questions

Solve the system
x-y+z=-2
4x-y+2z=-3
2x-3y+2z=-7

Answers

x = -9
z = 22
y = 11

Convert the following Logarithmic Equation into a Exponential Equation.

log_3(-2x+1)=-2y+6

Answers

Answer:

The conversion is given by [tex]3^{-2y+6} = -2x+1[/tex].

Step-by-step explanation:

Logarithmic Equation to Exponential Equation:

To realize the conversion of a logarithmic equation to an exponential equation, we need to understand the meaning of a logarithim. We have that:

[tex]\log_{a} b = c[/tex]

Means that:

[tex]b = a^c[/tex]

We are given the following equation:

[tex]\log_{3} (-2x+1) = -2y + 6[/tex]

It means that

[tex]3^{-2y+6} = -2x+1[/tex]

Which is the conversion.

anyone know the answer to this ?

Answers

A is the answer :) hope I helped



The angles of a triangle are three consecutive integers. Find the measure of each angle

Answers

Answer:

59,60,61

Step-by-step explanation:

the sum of all the angles in a triangle is 180.

consecutive intergers come right after one another.

x+(x+1)+(x+2)=180

3x+3=180

3x=177

x=59

x+1=60

x+2=61

Draw 6 circles . Make 3 groups. Shade 1 group. Then write a fraction to name the shaded part of the groups

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

say 1 is a circle and 1. is a full circle

111     1|1|1     1.|1|1

111    1|1|1      1.|1|1

1/3 of the groups of circles are shaded.

HELP PLS!! Which table represents The function y=4x-3?

Answers

The third one should be your answer

Describe how to transform the graph of g(x) = In x in the graph of f(x) =In (-x) - 9

Answers

Answer: Look down

Step-by-step explanation:

The y intercept changes. That’s it!

The shift is up or down. Positive goes up negative goes down.

The transform the graph of g(x) = In x in the graph of f(x) =In (-x) - 9.

The y-intercept changes.

We have given that,

g(x) = In x

The y-intercept changes

y-intercept changes it gives g(x).

What is the transform the graph?

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.

The shift is up or down

-x is shown the graph shift downward.

It gives the transform the graph of g(x) = In x in the graph of f(x) =In (-x) - 9.

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The patio shown has an area of 116 square feet. What is the value of h?

Answers

Answer:

8 ft

Step-by-step explanation:

if we made this into a rectangle (pretend you chop off one of the triangles and glue it to the other one to make a long rectangle), the length would be 10+4.5, or 14.5. to find what h is, we can just divide 116 by 14.5. our answer is 8.

You randomly select a card from a 52-card deck. What is the probability that the card is
not a club?

Answers

Answer: 39/52 or 3/4 or .75

Step-by-step explanation:

52-13=39

39 cards are not clubs

Answer:

75%

Step-by-step explanation:

There are 13 cards of every kind.

So there are 13 clubs, and 39 non-clubs.

The probability of drawing a non-club is:

39/52 =

3/4 = 75%

Write an inequality statement using the symbol > to compare the distances Gary and Melissa bike. Who bikes farther to school?

Answers

Answer:

76

Step-by-step explanation:

dont take credit from me

Evaluate 3ac - b for a = 3, b = -1, C = 4.
PLEASE ASAP!!

Answers

Answer:

37

Step-by-step explanation:

3(3)(4)- -1

9(4)- -1

36- -1

36+1

37

Answer:

37

Step-by-step explanation:

Given : a = 3, b = -1, C = 4

3ac - b

= 3(3)(4) - (-1)

= 36 + 1

= 37

Barbie spent $166 on clothes. She bought some shirts that cost $14 each and some pants that cost $22 each. She bought a total of 9 items. Select the system of equations to determine how many shirts and pants Barbie purchased. Let x represent the number of shirts and y represent the number of pants.

x + y = 166

14x + 22y = 9

x + y = 166, , 14x + 22y = 9,

x + y = 9

22x + 14y = 166

x + y = 9, , 22x + 14y = 166,

x + y = 9

14x + 22y = 166

x + y = 9, , 14x + 22y = 166,

x + y = 36

166x + 9y=14x + 22y

Answers

x + y = 9 , 14x + 22y = 166

The correct system of equations will be;

⇒ x + y = 9

And, $14x + $22y = $166

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Barbie spent $166 on clothes.

The cost of each pant = $22

The cost of each shirt = $14

Total number of items = 9

Now,

Let number of shirts = x

And, The number of pants = y

Since, Total number of items = 9

So, we can formulate;

⇒ x + y = 9

And, The cost of each pant = $22

The cost of each shirt = $14

So, We can formulate;

⇒ $14x + $22y = $166

Therefore, The correct system of equations will be;

⇒ x + y = 9

And, $14x + $22y = $166

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What is a satellite country? ​

Answers

Answer:

A satellite state is a country that is formally independent in the world, but under heavy political, economic and military influence or control from another country.

How many 4-person groups can be selected from 12 people

Answers

Answer:

3

Step-by-step explanation:

12 divided by 4 = 3

How does the function represented in the table change over equal intervals? What
does this tell you about the type of function it is?

Answers

The answer to the question you are looking for is B

For equal intervals changing in the independent variable, the corresponding dependent value does not change by equal differences, so it is not linear. which is the correct answer would be option (B).

What is the Linear function?

A linear function is defined as an equation in which the highest exponent of the variable is always one.

The table is given in the question.

As per the given table,

The rate of change will be

During the first interval : (20-10)/(9-7) = 10/2

During the second interval : (30-20)/(11-9) = 10/2

During the third interval : (40-30)/(14-11) = 10/3

The corresponding dependent value does not vary by equal differences when equal intervals in the independent variable change, therefore it is not linear.

Hence, the correct answer would be an option (B).

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A clock has a face in the shape of a circle the distance across a circle is 12 inches what is the area of the clock face in square inches?​

Answers

Answer:

18.84 square inches

Step-by-step explanation:

Distance across = diameter. The area formula for circles is A= πr. r in here means radius which is 6 inches (half of diameter). π is generally 3.14 or 22/7 depending on the question. multiply the value of π and 6, then you get the answer.

What value of x satisfies this equation (5x + 20) = 2

Answers

Answer:

x equals -3.6

Step-by-step explanation:

5 something +20 is supposed to be 2, so you take the two off of the 20 and get 18, then divide the 18 by 5 and you'll get 3,6 and logically since it needs to be negative you need the minus before it.

the regular price of the digital camera was aed 250. tyrone bought the digital camera at a discount of 40% how much did tyrone pay for the digital camera?

Answers

Answer:

Tyrone paid aed 150 for the digital camera.

Step-by-step explanation:

The regular price of the came was of aed 250.

Turone bought the camera at a discount of 40%.

So he paid 100% - 40% = 60% of the original price. So

0.6*250 = 150

Tyrone paid aed 150 for the digital camera.

If Noah ran 2 1/2 miles in 3/5 How fast, in miles per hour, did he run?

Answers

To calculate the speed of each one we proceed as follows:
speed=distance/time
a] Noah's speed:
distance=2.5 miles
time=3/5 hours

speed=(2 1/2)/(3/5)
=(5/2)/(3/5)
=5/2×5/3
=25/6
=4 1/6 mi/hr

Emily's speed
distance=3 3/4 miles
time=5/6 hour
thus
speed=(3 3/4)/(5/6)
=15/4)/(5/6)
=15/4×6/5
=4 1/2 mi/hr

Anna's speed:
distance=3 1/3 miles
time=3/5
speed=(3 1/3)/(3/5
=(10/3)/(3/5)
=10/3×5/3
=5 5/9 mi/hr

Anna was the fastest
Penis is a very nice choice of word

estimate the problem and solve 3.45 x16

Answers

Answer:

I would round 3.45 to 3.50 and estimate 16 to 15 then I would get the product of 52.5

Step-by-step explanation:

Help
50 points and brainleist

Answers

Answer: -0.5c

Step-by-step explanation: multiply -2.5 by 1/5 (0.2) and you get -0/5

Answer:

-0/5

Step-by-step explanation:

-2.5 by 1/5 (0.2)

A company's employees are 40% male and 60% female. Of the male employees, 15% of them have advanced degrees and 20% of the female employees have advanced degrees.

Let ‘c’ represent the total number of employees in the company. Which expression represents the percent of the company that has advanced degrees?

A - 0.15c + 0.20c

B - 0.40c(0.15) + 0.60c(0.20)

C - (0.40c - 0.15) - (0.60c - 0.20)

D - (0.40 + 0.15)c + (0.60 + 0.20)c

Answers

C - (0.40c - 0.15) - (0.60c - 0.20)

I hope this helps :)

let(Gn)n=1,be a geometric progression if Gk +G(k+1)=a and G(k+1) +G(k+2)=b,then find r and Gk​

Answers

At least to the power or not progression 278347

Can someone please help me with this problem I’m really struggling

Answers

The answer to that question would be the number 3 on the left side

Answer:

1

Step-by-step explanation:

I am assuming the question is asking which x value plugged into the function will give you a zero so

(-1)3 -8(-1)2 -23(-1)+30

so that simplyfiys to -1-8(1)+23+30

so that is -1-8+53

so -9+53

= 44

trying 3 we get

(3)3-8(3)2-23(3)+30

so that is 27 -72-69+30

and that is not zero

trying -10

we get

(-10)3-8(-10)2-23(-10)+30

which is -1000- 800+230+30

that is not zero so lastly trying  1 we get

(1)3-8(1)2-23(1)+30

which is 1-8-23+30

which is -7+7 which is zero

if you find my answer helpful please mark as brainliest

There are 560 students at Smith Middle School, 45% of them are in athletics. How many students are in athletics?

Answers

Answer:

252

Step-by-step explanation:

560x0.45 is 252

The Answer is: 252
Explanation: 560 times .45

i need help pls help me with math

Answers

Answer:

A towel

Step-by-step explanation:

Answer:

A towel, duhh

Step-by-step explanation:

When x=-2 and y=-3. - x^2? - 3xy + 2y^3 is

Answers

Answer:

-66

Step-by-step explanation:

-(-2)^2=-4

-3(-2)(-3)+2(-3)^3= -62

-4-62= -66

5 out of 25 girls said that they like pink as their favorite color. If you were to ask 325 girls, how many would say they liked pink?

Answers

Answer:

65 girls

Step-by-step explanation:

325/25=13    13x5=65

Selena is flying a kite as shown below. Use the measurements to find how long the kite string is.
16 feet
12 feet
feet

Answers

Answer:

20 feet

Step-by-step explanation:

In this case, you'd use pythagoras's theorem (a^2 + b^2 = c^2)

The hypotenuse is always = c, so you'd set up the equation like this:

16^2 + 12^2 = c^2, where you're solving for c (to find out the length of the kite string)

This equation simplifies to 256 + 144 = c^2

which further simplifies to 400 = c^2

to solve for c, we square root both sides so the c is isolated:

[tex]\sqrt{400} = \sqrt{c}[/tex]

20 = c

so the length of the kite string is 20 feet

The required length of the kite string will be 20 feet.

What is Pythagoras's theorem?

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

As per the question, we have to use Pythagoras's theorem

a² + b² = c²

Here hypotenuse = c,

Substitute the known values and we get

16² + 12² = c²,

Here c is the length of the kite string and simplifies the equation as:

256 + 144 = c²

c² = 400

c = √400

c = 20

Thus, the length of the kite string is 20 feet.

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In the figure below, ab is congruent to bc, and ae intersects bf at c. what is the measurement of

Answers

Answer:

D. 104 degrees

Step-by-step explanation:

What the information at the top tells us is that triange ABC is an isosceles triangle. In an isosceles triangle the two base angles are congruent, this means that <A=<C. Additionally, because of vertical angles we know that <C is equal to 38. So to find m<B use the expression 180-(2*38). This simplifies to 180-76, which is 104.

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