write down in terms of n, an expression for the nth term of the following sequences 2 5 8 11 14

Answers

Answer 1

Answer:

[tex]a_{n}[/tex] = 3n - 1

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 , thus

[tex]a_{n}[/tex] = 2 + 3(n - 1) = 2 + 3n - 3 = 3n - 1

Answer 2

The expression for the nth term of the series is [tex]a_n = 3n-1[/tex].

Given that,

Sequence; 2, 5, 8, 11, 14.

We have to find, the expression in terms of n for the nth term of the following given sequences?

According to the question,

The nth of the arithmetic sequence is,

[tex]\rm a_n = a+ d(n-1)[/tex]

Where a is the first term of the sequence,

d is the common difference between the terms,

n is the number of terms.

Then,

The given sequence is 2, 5, 8, 11, 14.

Here, the common difference between the terms is 3.

And the first term of the sequence is 2.

Substitute all the values in the formula,

Therefore,

The nth term of the given terms is,

[tex]\rm a_n = a+ d(n-1)\\\\a_n = 2+ 3(n-1)\\\\a_n + 2+3n-1\\\\a_n = 3n-1[/tex]

Hence, The required expression for the nth term of the series is [tex]a_n = 3n-1[/tex].

For more details refer to the link given below.

https://brainly.com/question/17043393


Related Questions

The equation of the line which passes
through the point(0,2) and has a gradient
of 1/3 is?

Answers

Answer:

Using point (0,2) and gradient 1/3

Equation of the line is

y - 2 = 1/3(x -0)

Multiply through by 3

You'll get

3y - 6 = x

3y = x - 6 or y = 1/3x - 2

Hope this helps.

This is a math question plz try you best

Answers

Answer:

11/12

Step-by-step explanation:

Calculate the sum

rewrite the fraction

simplify the fraction

Solution 11/12

plz try your best do not quess

Answers

Answer:

43 2/5

Step-by-step explanation:

change each of the mixed fractions to improper fraction.

-11  2/3 = -31/3

-4 1/5 = -21/5.

Multiply them now:

-31/3 x -21/5 = 651/15

Then turn 651/15 to a mixed fraction because the question was in mixed fractions:

43 6/15 = 43 2/5 (simplified)

Please mark brainiest

Si una persona de lunes a viernes entrena diariamente 1 hora ¿cuanto tiempo debe entrenar el sábado para que el promedio diario de las horas de entrenamiento de los 6 días sea 1,5 horas?

Answers

Answer: 4 horas

Step-by-step explanation:

Una semana (de lunes a viernes) contiene 5 días

Si se entrena 1 hora por día:

1 x 5 = 5 horas (total de horas de entrenamiento de lunes a viernes)

Ese total más el número de horas que se entrena el sábado (x) dividido por 6 (numero de días en la semana incluyendo sábado) debe ser igual a el promedio de horas entrenadas en los 6 días (1.5)

(5+x) /6 =1.5

Despajando x:

5+x =1.5 x 6

5+x =9

x =9-5

x = 4 horas

Question 1 (1 point)
Solve
- +13 > 10
(Blank 1 is <,>, S, or 2. Blank 2 the number)
Recall that < and > are on the keyboard. You can get S and respectively by doing Alt < and Alt > on the keyboard. You may also copy the
symbols from the instruction page or the Copy Symbol and Keyboard Shortcuts Page.
Blank 1:
Blank 2:

Answers

Umm I don’t know the answer to that yet because it looks complicated

Please answer correctly !!!! Will mark brianliest !!!!!!!!!!!!!!

Answers

Answer:

C

Vertex at (-4 , 18)

Step-by-step explanation:

The vertex's x-coordinate is -4

To find the y-coordinate plug -4 into any of the equations but I recommend using the third one because it'll be the fastest route.

-2 (-4 + 4)^2 + 18

-2(0)^2 + 18

= 18

Vertex at (-4, 18)

A park ranger standing in a 146-foot lookout tower sees the beginning of a forest fire. she measures the angle of depression from the tower to the fire to be 12 degrees. Assuming that the ground is horizontal, calculate the distance from the tower to the fire. *Round to the nearest hundredth

Answers

their gd7v7gvugvrty

Step-by-step explanation:

7yvtc

What is the quotient of y/4 divided y/8

Answers

Answer:

2

Step-by-step explanation:

when you divide fraction, you flip the second fraction and change to multiply

y/4 *8/y =8/4 =2

Answer:

2

Step-by-step explanation:

[tex]\frac{y}{4}[/tex]÷[tex]\frac{y}{8}[/tex]

= [tex]\frac{y}{4}[/tex] × [tex]\frac{8}{y}[/tex]

= [tex]\frac{8y}{4y}[/tex]

= 2

Hope this helps <_>


Write the polynomial which represents the perimeter of a triangle whose sides are represented
by 2x² + 3x, 5x²-1, and 3x² + 7x-1.

Answers

Answer:

The polynomial is 10x^2 + 10x -2

Step-by-step explanation:

To get the polynomial which represents the perimeter, what we need to do is to add up all

these values. We use the formula for finding the perimeter of a triangle and that involves adding up all the three sides. That would be;

2x^2 + 3x + 5x^2 -1 + 3x^2 + 7x -1

10x^2 + 3x -1 + 7x -1

10x^2 + 10x -2

I WILL MARK CORRECT AS BRAINLIEST THIS IS URGENT! NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
20 POINTS EVERYONE!

Answers

Answer:

A

Step-by-step explanation:

Please help me with my question!!

Answers

Answer:

10

Step-by-step explanation:

Since each ornament takes 1/4 of a piece of Bristol board we divide 2 1/2 by 1/4

2 1/2 = 5/2

(5/2)/(1/4) = 20/2 = 10

There are two approaches to solving the equation -3x + 10 = 4x - 20

What is the answer? pls help      

Subtract 4x from both sides. OR Add 3x to both sides.

              –7x + 10 = –20 OR 10 = 7x – 20

Solve the equation using both approaches.

What is the solution?

Answers

Answer:

X =30/7

Step-by-step explanation:

The first way would be something like:

-7x + 10 = -20. The first thing we would do is to subtract 10 from both sides.

Therefore,

-7x+10-10=-20-10

Simplified, we get

-7x=-30

Remove the negative symbols

7x =30

x=30/7

Second example:

10=7x - 20

Add 20 to both sides.

10+20=7x-20+20

Simplified,

30=7x

x = 30/7

Answer:

What is the solution?

✔ x = 30/7

Step-by-step explanation:

You can take this equation into two approaches.

#1 subtracting 4x from both sides:

-3x+10=4x-20 (subtract 4x from each side)

-7x+10=-20 (then subtract 10 from each side)

-7x=-30 (then divide by -7 to get x by itself)

x=30/7

#2 Add 3x to both sides:

-3x+10=4x-20 (Add 3x to both sides)

10=7x-20 (then add 20 to each side)

30=7x (divide both sides by 7)

30/7=x

Either way you do it you will get x=30/7 as your answer.


Need help , can’t find this one

Answers

Answe : 2
Since it is the inverse g(2) = -3
And f(-3) = 2

A right triangle has an area of 50 square inches. Part 1 out of 2 If the triangle is an isosceles triangle, what are the lengths of the legs of the triangle? The length of each leg is____ inches.

Answers

Answer: The length of each leg is 10 inches.

Step-by-step explanation: The triangle in question has been described as a right angled triangle, which implies that one side measures 90 degrees. It ia also described as an isosceles triangle. An isosceles triangle has two sides being equal, and also the two angles facing the two equal sides also measure the same.

If a right angled triangle is given as isosceles, then it means the hypotenuse (which is the side facing the right angle) is not one of the equal sides. The other two sides apart from the hypotenuse are the sides with equal measurement.

The area of a triangle is given as

Area of triangle = 1/2 (b*h)

Where b (the base) is one of the equal legs, and h (the vertical height) is the other leg equal to b.

Hence, the area can be re-written as follows;

Area of a triangle = 1/2 (b*h)

50 = 1/2 (b*h)

By cross multiplication, you now have

50 *2 = b*h

100 = b*h

Having already determined that b equals h,

100 = h²

Alternatively

100 = b²

Therefore, adding the square root sign to both sides of the equation, you now have

√100 = √h²

10 = h

Therefore, the length of each leg, both base and height is 10 inches

Deanna used 2.5 deciliters of milk in a recipe. How many milliliters of milk did Deanna use?
Number of Deciliters
x or ÷
Milliliters is 1 Deciliter
=
Number of Milliliters






=


Answers

Answer:

Milliliters is 1 Deciliter

Step-by-step explanation:

The x coordinate of the midpoint is the _____ the x coordinates of the endpoints.

Answers

Answer:

average

Step-by-step explanation:

The midpoint is always the average or middle of the line. So here it would be the average of the two x endpoints.



True or False: Perpendicular lines sometimes meet at angles that are not 90°.True or False: Perpendicular lines sometimes meet at angles that are not 90°.

Answers

Answer:

false

Step-by-step explanation:

that is  the definition of a perpendicular line  

On a coordinate plane, a parabola opens upward. It has a vertex at (0, 0), a focus at (0, 1.5) and a directrix at y = negative 1.5. Which equation represents the parabola shown on the graph? y2 = 1.5x x2 = 1.5y y2 = 6x x2 = 6y

Answers

Answer:

d) The equation of the standard parabola

 x² = 6 y

Step-by-step explanation:

 The given directrix is y= -31.5

  The equation of the parabola is of the form x² =4 a y

  Given focus (0,1.5) , Here  a= 1.5

  The equation of the standard parabola

                                      x² = 4 a y

                                       x² = 4 (1.5)y

                                       x² = 6 y

Conclusion:-

The equation of the standard parabola

 x² = 6 y

The equation that represents the parabola shown on the graph is x∧2 = 6 y

What is a parabola?

A parabola is known as a plane curve that starts from a point and moves such that its distance from a fixed point is equal to its distance from a fixed line.

The graph shows a vertical parabola opened upwards with the vertex at the origin.

How to determine the equation

The equation of the parabola from the graph is;

x∧2 = 4ay

The equation of the directrix;

y = -a = -1. 5

Thus, the value of a = 1.5

Then, substitute the value of a = 1.5 in the equation deduced from the graph

x∧2 = 4 × (1.5) × y

x∧2 = 6 y

Therefore, the equation that represents the parabola shown on the graph is x∧2 = 6 y

Learn more on parabola here:

https://brainly.com/question/4061870

#SPJ2

Please help me with the working plz

Answers

Answer:

10 square centimeters

Step-by-step explanation:

The insides of this square is now made up of a 2 by 2 square in the center, surrounded by 4 triangles with bases of 3 units and heights of 1 unit. The formula for the area of a triangle is bh/2, which means that each triangle had an area of 1.5. Multiplying this by 4 and adding the area of the central square, you get a total area of 4+6=10. Hope this helps!

need help due today pls

Answers

Answer:

18

Step-by-step explanation:

Look at the paired sides

what would the ratio of 10 and 15 be

2:3

So let's apply that to the other side

12:?

2:3

6*3=18

Let me know if I am right


Determine the rate of change from the graph.
On a coordinate plane, a line with positive slope goes through points (negative 3, 0) and (negative 1, 4).
The rate of change shown in the graph is .

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

The answer is 2

Step-by-step explanation:

I literally did it on edge 2020 and got it right.


On a separate sheet of paper, graph 3x+6y=18 In the box below, enter the y value when x = 2.

Answers

Answer:

y=2 when x=2

Step-by-step explanation:

3(2)=6

6+6y=18

6y=18-6

6y = 12

6y/6 = 12/6

y=2

Answer:

y=2 when x=2

Step-by-step explanation:

Did it on edge

If p(y) = y^3+3 y^2-5y-6, then p (-3) = ------------------

Answers

Answer:

9

Step-by-step explanation:

[tex]p(y)=y^3+3y^2-5y-6 \\\\p(-3)=(-3)^3+3(-3)^2-5(-3)-6= \\\\-27+27+15-6= \\\\9[/tex]

Hope this helps!

Answer:

p(-3)=9

Step-by-step explanation:

This question ask us to find p(-3), or what p(y) is when y is equal to -3.

We know that:

p(y)= y^3+3 y^2-5y-6

We want to find p(-3), so substitute -3 in for every y.

p(-3)= (-3^3)+3(-3^2)-5(-3)-6

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Solve the exponents first (-3^3 and -3^2)

-3^3=-3*-3*-3= -27

-3^2= -3* -3= 9

p(-3)= -27+ 3(9) -5(-3) -6

Next, multiply 3 and 9

p(-3)= -27+27-5(-3)-6

Then, multiply -5 and -3

p(-3)= -27+27+15-6

-27 and 27 equal 0, so they cancel each other out.

p(-3)=15-6

p(-3)= 9

26x=74 which describe how to solve the equation below

Answers

Answer:

x = 37/13

Step-by-step explanation:

26x=74

x=74/26

x=37/13

For f(x)=3x+1 and g(x)=x^2-6, find (f•g)(x).

Answers

Answer & Step-by-step explanation:

When we see (f * g)(x), it means that we are going to be multiplying f(x) and g(x) together.

f(x) = 3x + 1

g(x) = x² - 6

(3x + 1)(x² - 6)

Multiply each term from the first parentheses to the second parentheses.

3x³ - 18x + x² - 6

Combine like terms and make sure the expression is in standard form.

3x³ + x² - 18x - 6

So, your answer will be letter choice B.

whats the formula of an rectangle

Answers

Answer:

Perimeter: 2l+2w

Area: lw

Step-by-step explanation:

Let l=length, and w=width

Answer:

For Perimeter its  2times length + 2times width

and for Area its: length times width

Hope this helps :)

I’ll mark you brainliest!!!!! Which point is a solution to the inequality represented by this graph?

Answers

Answer:

A is a solution because it is in the shaded area.

Step-by-step explanation:

pls help i cant find​

Answers

Answer:

Let's see the first two points: (-7, 5) and (-5, 9)

The line passes these points has a form of: y = Mx + b

=> 5 = (-7)M + b

   9 = (-5)M + b

Subtract the 1st equation from 2nd equation, we have:

4 = 2M

=> M = 2

Substitute M back into 1st equation:

=> 5 = (-7)*2 + b

=> b = 19

=> y = 2x + 19

or y - 5 = 2x + 14

or y - 5 = 2(x + 7)

=> Option A is correct

Hope this helps!

:)

Answer:

A

Step-by-step explanation:

The difference between the values of y are constant, that is

17 - 13 = 13 - 9 = 9 - 5 = 4

This indicates the relationship is linear.

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 7, 5) and (x₂, y₂ ) = (- 5, 9) ← 2 ordered pairs from the table

m = [tex]\frac{9-5}{-5+7}[/tex] = [tex]\frac{4}{2}[/tex] = 2

Use any ordered pair from the table for (a, b)

Using (a, b) = (- 7, 5), then

y - 5 = 2(x - (- (- 7)) , that is

y - 5 = 2(x + 7) → A

please help with this

Answers

Answer:

37

Step-by-step explanation:

Using the Pythagorean theorem:

[tex]x=\sqrt{12^2+35^2}=\sqrt{144+1225}=\sqrt{1369}=37[/tex]

Hope this helps!

Which of the following is the correct factored form of the given equation?
4x2 - 11x + 6 = 0
(2x + 3)(2x + 2) = 0
(2x - 3)(2x - 2) = 0
(4x - 3)(x - 2) = 0

Answers

Answer:

[tex](4x - 3)(x - 2) = 0[/tex]

Last answer is correct

Step-by-step explanation:

[tex]4 {x}^{2} - 11x + 6 = 0 \\ 4 {x}^{2} - 8x - 3x + 6 = 0 \\ 4x(x - 2) - 3(x - 2) = 0 \\ (4x - 3)(x - 2) = 0[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

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