What rule can be used to find the next term of the sequence? an = an–1 – 79 an = an–1 – 13 an = an–1 13 an = an–1 79

Answers

Answer 1

The rule that can be used to find the next term of the sequence 27, 40, 53, 66, 79,... is given by: Option C: a_n = a_(n-1) + 13

What is arithmetic sequence?

An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

[tex]a, a + d, a + 2d, ... , a + (n+1)d, ...[/tex]

Its nth term is

[tex]T_n = a + (n-1)d[/tex]

(for all positive integer values of n)

And thus, the common difference is

[tex]T_{n+1} - T_n[/tex]

for all positive integer values of n

Here, the considered sequence is 27, 40, 53, 66, 79,...

We see that:

40-27=13

53-40=13

and so on, the difference between each consequtive pair of terms of this sequence is 13.

Thus, due to having common difference in consequtive terms, this is an arithmetic sequence.

For this series, we've got:

Initial term = a = 27Common difference = d = 13

Thus, its nth term is given by:

[tex]T_n = a+(n-1)d= 27 +(n-1)13 = 13n + 14[/tex]

Since the options are using the notation [tex]a_n[/tex] instead of [tex]T_n[/tex], so we will use that too. Thus, nth term and (n-1)th terms are:

[tex]a_n = 13n + 14\\a_{n-1} = 13(n-1) + 14 = 13n + 1\\[/tex]

Thus, we can write nth term in the form of (n-1)th term as:

[tex]a_n = 13n + 14 = 13n + 1 + 13 = a_{n-1} + 13\\\\a_n = a_{n-1} + 13[/tex]

Thus, the rule that can be used to find the next term of the sequence 27, 40, 53, 66, 79,... is given by: Option C: a_n = a_(n-1) + 13

Learn more about arithmetic sequence here:

https://brainly.com/question/3702506

Answer 2

Answer:

c

Step-by-step explanation:


Related Questions

True or false. A complete graph is planar

Answers

Answer:

true

Step-by-step explanation:

Please help
I will give a maybe brainly 3-5 stars and a thanks

Answers

It would be 4v they’re both factors of 20 as well.

Let's simplify this equation:

    ⇒ first, consider what we can simply typically

A variable is a letter whose value is unknown in an algebraic expression.The coefficient is a numerical value used together with a variable.A constant is a term that has a definite value.Like terms are variables with the same letter and power. Like terms can sometimes contain different coefficients.

By considering the equation given

 ⇒ we can simply simplify the coefficient of the variable with the

  denominator

   [tex]\frac{20v}{5} =\frac{5*4*v}{5} =\frac{5}{5}*4*v =1*4*v=4v[/tex]

Thus the simplified expression is 4v

Answer: 4v

Hope that helps!

Sal and Zack built a scale model of the Texas Capitol using a scale in which 2 inches represents 8 feet. The height of the Texas Capitol is 312 feet.
Problem

What is the height of the scale model in inches?

Answers

Fractions are rations of two integers. The height of the scale model in inches is 78 inches

Ratio and proportions

Fractions are ratios of two integers and they are also used to represent ratios.

Given that scale model of the Texas Capitol is  2 inches to represents 8 feet, the height of the capitol in inches is the heght in feet is 312 feet is expressed as:

Height  = 312 * 2/8
Height in inches = 312/4
Height in inches = 78 inches

Hence the height of the scale model in inches is 78 inches

Learn more on proportion here: https://brainly.com/question/19994681

Find the slope for (9,4) and (0,5)

Answers

Answer:

Slope (m) =ΔY=1=1θ =arctan( ΔY)ΔX=45° =14π

ΔX = 9 – 5 = 4

ΔY = 4 – 0 = 4

Distance (d) = √ΔX2 + ΔY2 = √32 = 5.6568542494924

y = x – 5

When x=0, y = -5

When y=0, x = 5

Step-by-step explanation:

hope this helps If not please let me now

don't spam!!
read the instruction first
complete answe= Brainliest answer​

Answers

Answer:

Step-by-step explanation:

3)

[tex]\sf \boxed{v_{f}^{2}=v_{i}^{2}+2gd_{y}}\\\\v_{f} - > final \ velocity\\\\v_{i} - > Initial \ velocity = 0 \\\\d_{y} - > distance \ travelled[/tex]

g -> gravitational acceleration = 9.8 m/s²

[tex]v_{f}^{2}= 0 + 2*9.8 * 45[/tex]

    = 882 m

[tex]\bold{\huge{\underline{ Answer }}}[/tex]

Answer 1 :-

Here, We have

Initial velocity = 0 , as jeepney started from rest Time = 2 seconds Distance = 20 m

Therefore,

By using second equation of motion

[tex]\sf{ S = ut {\times} }{\sf{\dfrac{1}{2}}}{\sf{at^{2}}}[/tex]

Subsitute the required values,

[tex]\sf{ 20 = 0{\times}2 {\times} }{\sf{\dfrac{1}{2}}}{\sf{{\times}a(2)^{2}}}[/tex]

[tex]\sf{ 20 = }{\sf{\dfrac{1}{2}}}{\sf{{\times}4a}}[/tex]

[tex]\sf{ 20 = 2a }[/tex]

[tex]\sf{ a = }{\dfrac{ 20}{2}}[/tex]

[tex]\sf{ a = 10\:m/s^{2}}[/tex]

Hence, The acceleration of the jeepeny is 10 m/s² .

Answer 2 :-

Here, we have

Initial velocity = 0 , as the coins started rolling from rest. Acceleration = 4 m/s²Time = 3 seconds

Therefore,

By using second equation of motion

[tex]\sf{ S = ut {\times} }{\sf{\dfrac{1}{2}}}{\sf{at^{2}}}[/tex]

Subsitute the required values,

[tex]\sf{ S = 0{\times}3 {\times} }{\sf{\dfrac{1}{2}}}{\sf{{\times}4(3)^{2}}}[/tex]

[tex]\sf{ S = }{\sf{\dfrac{1}{2}}}{\sf{{\times}4(9)}}[/tex]

[tex]\sf{ S = }{\sf{\dfrac{1}{2}}}{\sf{{\times}36}}[/tex]

[tex]\sf{ S = 18 \: m }[/tex]

Hence, The coin will reach 18 m after 3 seconds.

Answer 3 :-

Here,

A stone fell from a 45 m high cliff and hit the ground.

So,

Initial velocity = 0Distance = 45 mAcceleration due to gravity

By using third equation of motion

[tex]\sf{ v^{2} = u^{2} + 2gs }[/tex]

Subsitute the required values,

[tex]\sf{ v^{2} = 0^{2} + 2{\times}9.8{\times}45 }[/tex]

[tex]\sf{ v^{2} = 90{\times}9.8}[/tex]

[tex]\sf{ v^{2} = 882 m}[/tex]

[tex]\sf{ v = \sqrt{882} m}[/tex]

[tex]\sf{ v = 29.7 m/s}[/tex]

Hence, The final velocity of the stone when the stone hits the ground is 29.7 m.

Which statements describe the graph of y = 4x2 28x 49? check all that apply. the graph has two x-intercepts because 4x2 28x 49 has two different factors. the equation 2x 7 = 0 can be used to find a zero of the function. the equation (2x – 7)2 = 0 can be used to find the y-intercept. the graph has a double root at x = startfraction negative 7 over 2 endfraction. the graph intersects the y-axis at y = 49.

Answers

The true statements about the graph y = 4x2 + 28x + 49 are as follows;

(b) The equation 2x + 7 = 0 can be used to find a zero of the function.

(d) The graph has a double root at x = -7/2.

(e) The graph intersects the y-axis at y = 49.

What is the function of the graph?

The graph of a function f is the graph of the equation y = f (x).

The function is given as:

[tex]\rm y = 4x^2 + 28x + 49[/tex]

Express 28x and 14x + 14x; so, we have:

[tex]\rm y = 4x^2 + 14x+14x + 49[/tex]

Factorize

[tex]\rm y = 4x^2 + 14x+14x + 49\\\\y = 2x(2x+7)+7(2x+7)\\\\y=(2x+7)(2x+7)[/tex]

Express as a perfect square

[tex]\rm y = (2x+7)^2[/tex]

This means that the graph of the equation has a double root.

It also means that 2x + 7 = 0 can be used to determine the root/zero of the function.

Substitute 0 for x in to determine the y-intercept

[tex]\rm y = (2x+7)^2\\\\\rm y = (2(0)+7)^2\\\\\rm y = (0+7)^2\\\\y=49[/tex]

This means that the graph intersects with the y-axis at y = 49

Hence, the true statements are (b), (d), and (e)

Read more about quadratic functions at:

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Answer:

b,d, and ,e

Step-by-step explanation:

trust i just did it

Help please i don't want to get held back

Answers

height of mt.= 4000meters

hope it helps...!!!

Is km ∥ jn? why or why not? no, because startfraction 16 over 10 endfraction not-equals startfraction 24 over 15 endfraction. yes, because startfraction 10 over 24 endfraction equals startfraction 15 over 16 endfraction. yes, because startfraction 16 over 10 endfraction equals startfraction 15 over 24 endfraction yes, because startfraction 16 over 10 endfraction equals startfraction 24 over 15 endfraction.

Answers

The answer is  Yes because StartFraction 16 Over 10 EndFraction equals StartFraction 24 Over 15 EndFraction is correct.

From the diagram we have

Corresponding segments in triangles LKM and LJN are proportional, so the triangles are similar and KM ║ JN.

What is the meaning of a parallel line?

The parallel line does not intersect each other

The other yes choice does not properly show corresponding segments

So, actually makes a false claim.

It is not true that 16/10 = 15/24.

To learn more about the fraction visit:

https://brainly.com/question/78672

Answer: Yes,  16/10 equals 24/15

Step-by-step explanation: bc im cool like that

Pls hurry and ty!!!!​

Answers

Answer: 64

Step-by-step explanation:

So if the length of an edge is 4, the volume is 4 x 4 x 4 = 64 Or as a formula: volume = s3 where: s is the length of any edge of the cube.

Answer:

64 feet

Step-by-step explanation:

LxHxW

4x4x4

64 feet

News cameras take an overhead picture of a part of a crowd at an outdoor event. journalists then count the number of people in the picture and use the sample to estimate the total number of people in the crowd. this process is an example of random sampling. stratified sampling. systematic random sampling. cluster sampling.

Answers

The given process is an example of a cluster system.

What is the cluster system?

The clustered systems are a combination of hardware clusters and software clusters.

The hardware clusters help in sharing of high-performance disks between the systems.

The software clusters makes all the systems work together.

Each node in the clustered systems contains the cluster software.

A cluster refers to a group of inter-connected computers where it works together to support applications and middleware (e.g. databases).

In a cluster, each & every computer is known to be a “node”.


To know more about the cluster system click the link given below.

brainly.com/question/4804019

Answer: D. cluster sampling

Step-by-step explanation:

Please help I need it urgent I will give brainlest and heart plus an Amazon gift 25$

Answers

sides

13 X 42 = 546 square foot there are four of these

546 X 4 = 2184 square foot.

triangles

A= 0.5 X b X h

0.5 X 13 X 12 = 78 square foot again there are four of these 78 X 4 = 312 square foot

2184 + 312 = 2496 square foot

2496/277 = 9.010

9 gallons of paint will need to be purchased.

Answer:

9 gallons

Step-by-step explanation:

Need help with this!!

Answers

Answer:

∠ N = 42°

Step-by-step explanation:

the measure of a secant- secant angle is half the difference of the measures of the intercepted arcs , that is

∠ N = [tex]\frac{1}{2}[/tex] ( HE - XP ) = [tex]\frac{1}{2}[/tex] ( 122 - 38)° = [tex]\frac{1}{2}[/tex] × 84° = 42°

14. Find the volume of the sphere. Use 3.14 for pi and round to the nearest tenth if necessary.
6 mi
O 956.2 mi
O 886,1 mi
0
669 mi
O 904.3 mi

Answers

Answer:

Volume of the sphere is 904.3 mi³

Step-by-step explanation:

Given that radius of the sphere is 6 miles. To find Volume of the sphere we will substitute the Value of radius in the given formula:

[tex] \\ \: \: \dashrightarrow { \underline{ \boxed { \pink{ \pmb{ \mathfrak {Volume_{(Sphere)} = \dfrac{4}{3} \pi r ^3 }}}}}} \\ \\ [/tex]

Substituting the required values:

[tex] \\ \: \: \dashrightarrow \sf \: \: Volume = \dfrac{4}{3} \times 3.14 \times {(6)}^{3} \\ \\ [/tex]

[tex] \: \: \dashrightarrow \sf \: \: Volume = \dfrac{4}{3} \times 3.14 \times 216 \\ \\ [/tex]

[tex] \: \: \dashrightarrow \sf \: \: Volume = \dfrac{4}{3} \times 678.24 \\ \\ [/tex]

[tex] \: \: \dashrightarrow \sf \: \: Volume = \dfrac{2712.96}{3} \\ \\ [/tex]

[tex] \: \: \dashrightarrow \sf \: \: { \underline{ \boxed{ \pink{ \pmb{ \mathfrak{Volume \approx 904.3 \: {mi}^{3} }}}}}} \\ \\ [/tex]

Hence,

Volume of the sphere is 904.3 mi³

Step-by-step explanation:

Given :-

radius of sphere = 6mi

To find =

Volume of sphere

Solution =

Volume of sphere = 4/3 πr³

putting the known values ,

Volume = 4/3 × 3.14 × 6³ mi³

Volume = 904.32 mi³

rounding off to nearest tenth ,

Volume = 904.3 mi³

help me pleaseeeeeeeeee ​

Answers

Answer:

g(-2) = -1

Step-by-step explanation:

By looking at the graph, we can see that g(-2) where x = -2 is represented. Because x = -2, we can see that the y-value that correlates to this x-value is -1.

So g(-2) = -1.

Find the least number 1008 would need to be multiplied by to give a square number :)

Answers

Answer:

7

Step-by-step explanation:

1008 Must be multiplied by 7 to get a a perfect square.

find the circumference of the circle ​

Answers

Answer:

25.133cm

Step-by-step explanation:

Im assuming 8cm is the diameter

circumference = πd

8π=25.133

Brainliest would be very much appreciated

Looking at the stock performance chart below, which company has overall
outperformed the Dow Jones (DJI)?

O A. Domino's Pizza (DPZ)
O B. McDonald's (MCD)
O C. Papa John's Pizza (PZZA)
O D. Jet Blue (JBLU)

Answers

Answer:

We cant see the full image.

Step-by-step explanation:

fine using distributive
(7/27×9/36)+ (9/36×5/54)​

Answers

Answer:

GCF and the Distributive Property - YT here is a yt video on how to do it hope it helps i just looked up the answer

Step-by-step explanation:

Which of the following represents the sum of the series below? 4 7 10 13 16 19 22 25 28 31 34 37 40

Answers

The sum of the given series 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40 will be 286.

What is a series?

A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.

The series is given below.

4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40

Then the sum of the series will be

[tex]\rm S = \dfrac{n}{2}(a + L)[/tex]

where n is the total number of the terms, a is the first term, and L is the last term. Then we have

a = 4

L = 40

n = 13

Then

[tex]\rm S = \dfrac{13}{2}(4 + 40)\\\\S = \dfrac{13}{2} \times 44\\\\S = 13 \times 22\\\\S = 286[/tex]

More about the series link is given below.

Series - https://brainly.com/question/10813422

SOLVE.

1/2 (X-3/4) = 5/12

Answers

[tex]~~~~~\dfrac 12 \left(x-\dfrac 34 \right) = \dfrac 5{12}\\\\\\\implies \dfrac{4x-3}4= \dfrac{5 \times 2}{12}\\\\\\\implies 4x-3 = \dfrac{5 \times 2 \times 4}{12}\\\\\\\implies 4x -3=\dfrac{40}{12}\\\\\\\implies 4x -3 = \dfrac{10}3\\\\\\\implies 4x = \dfrac{10}3 +3\\\\\\\implies 4x = \dfrac{19}3\\\\\\\implies x = \dfrac{19}3 \times \dfrac 1 4\\\\\\\implies x = \dfrac{19}{12}[/tex]

Evaluate −3x + 2 for x = −2.

Answers

-3(-2)+2=6+2=8
I know this is an easy question but can I get brainliest please.

Hello ~

My name is Irxdscent, and I will be answering your question today! :D

→ Answer :-

[tex]\sf{8}[/tex]

→ Explanation :-

We can do the quicker way, or the long way.

The quicker way is:

[tex]\sf{(-3)(-2) \: + \: 2}[/tex]

[tex]\sf{= 6 \: + \: 2}[/tex]

[tex]\sf{= 8}[/tex]

The long way is:

Evaluate −3x + 2 for x = −2.

Evaluate of [tex]\sf{3x^2 \: + x \: -2 \: of \: x = -2}[/tex]

Do the expression of [tex]\sf{x = -2}[/tex] in the expression.

[tex]\sf= {3(-2)^2 \: + \: (-2) \: -2}[/tex]

[tex]\sf{= 3(4) -2 \: -2}[/tex]

[tex]\sf{= 12 \: - 4}[/tex]

[tex]\sf{= 8}[/tex]

Hope It Helps! ~

~ Learn With Lrxdscent ~

[tex]\underline{Answer :}[/tex]

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Which equation represents the line that passes through (–6, 7) and (–3, 6)? y = –y equals negative startfraction one-third endfraction x plus 5.x 9 y = –y equals negative startfraction one-third endfraction x plus 5.x 5 y = –3x – 11y y = –3x 25

Answers

The equation represents the line that passes through (–6, 7) and (–3, 6) [tex]\rm y=\dfrac{-1}{3}x+5[/tex].

What is the slope of the equation?

For all lines in slope y-intercept form, it would be very simple to just find the answer by finding yourself the slope and y-intercept of the line in question.

The slope of the line is;

[tex]\rm m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m =\dfrac{7-6}{-6-(-3)}\\\\m = \dfrac{1}{-3}[/tex]

The equation represents the line that passes through (–6, 7) and (–3, 6) is;

[tex]\rm y=\dfrac{-1}{3}x+b\\\\6=\dfrac{-1}{3}(-3)+b\\\\6=1+b\\\\b = 6-1\\\\b=5[/tex]

The required line of the equation is;

[tex]\rm y =mx+c\\\\y=\dfrac{-1}{3}x+5[/tex]

Hence, the equation represents the line that passes through (–6, 7) and (–3, 6) [tex]\rm y=\dfrac{-1}{3}x+5[/tex].

To know more about the equation of line click the link given below.

https://brainly.com/question/8955867

Answer:

I'm pretty sure the answer is B sorry if I'm wrong

Step-by-step explanation:

While staying in buenos aires, argentina, you decide to take a trip to three other cities: tucuman, bahia blanca, and salta. the following table shows the costs associated with traveling to or from each of these four cities. all costs listed are given in argentine pesos ($). origin and destination cost ($) buenos aires to tucuman 211 buenos aires to bahia blanca 268 buenos aires to salta 238 tucuman to buenos aires 272 tucuman to bahia blanca 195 tucuman to salta 203 bahia blanca to buenos aires 200 bahia blanca to tucuman 229 bahia blanca to salta 211 salta to buenos aires 193 salta to tucuman 267 salta to bahia blanca 275 using the information in the table, determine the least expensive way to visit all of these cities, starting and ending in buenos aires. a. buenos aires right arrow. salta right arrow. bahia blanca right arrow. tucuman right arrow. buenos aires b. buenos aires right arrow. tucuman right arrow. salta right arrow. bahia blanca right arrow. buenos aires c. buenos aires right arrow. tucuman right arrow. bahia blanca right arrow. salta right arrow. buenos aires d. buenos aires right arrow. bahia blanca right arrow. tucuman right arrow. salta right arrow. buenos aires

Answers

Answer: C. Buenos Aries-Tucuman-Bahia Blanca-Salta-Buenos Aries

Step-by-step explanation:

Edg 2022

need answers quicklyyyyyyyyyyyyyyyyyyyyy will give the brainiest and 80 points
1:Simplify the following expression completely for x = 4. (Leave your answer as a fraction or whole number. Remember, you may need to substitute 4 in for x and then solve.)
14(x^-2) this is 1

2:Which expressions have values less than 1 when x = 4? Select all that apply.
1>(3/x^2)^0
2>x^0/3^2
3>1/6^-2
4>1/^-3
5>3x^-4

Answers

Answer:

i think 4>1/^-3 im not sure tho i hope this helps

Step-by-step explanation

Answer:

1.(3/(4)^2)^0=1

2.(4)^0/3^2-0.1111111111

3.1/6^-2=36

4.1/(4)^-3=64

5.3(4)^-4=4.82253086×10−5

Step-by-step explanation:

hope this helps

#LeaRNwiTHbRAinLy

If triangle RST and triangle XYZ are similar, which of these equations must be true?

Answers

Answer: A

Step-by-step explanation:

If they are similar, that means the proportions for corresponding sides will be the same.

          I personally ignore the picture and use the labels of "triangle RST and triangle XYZ" that the problem gives because the XYZ picture is not lined up with the similarity it has with RST.

(A) says that side ST is corresponding with side YZ,

          [] Triangle RST and triangle XYZ

          -> Correct

(A) also says that side RT is corresponding with size XZ,

          [] Triangle RST and triangle XYZ

          -> Correct

               This means that option A is the correct answer.

Two inscribed angles that intercept the same arc are.

Answers

Answer:

In a circle, any two inscribed angles with the same intercepted arcs are congruent. Hope this helps!

One side of an enlargement of the rhombus is shown by the dotted line.

A)Complete the enlarged rhombus.

B) What is the scale factor of the enlargement?


HELP

Answers

Answer:

  A) see attached

  B) 2

Step-by-step explanation:

A)

See the attachment for a completed enlargement of the given rhombus.

__

B)

The enlarged side shown in the problem statement is twice as long as the nearest parallel side of the rhombus. The scale factor is the ratio of the enlarged side length to the original side length: 2 : 1. The scale factor is 2.

_____

Additional comment

There are several ways you can determine the scale factor. The endpoints of the image side are twice as far from the center of the rhombus as the original rhombus vertices. (The original extends 1 unit left, for example, while the enlargement is 2 units left.)

The length of a side of the original (blue) rhombus is the diagonal of a 1×2 rectangle on the grid. The drawn side of the image is two such lengths.

pls help due today the 2 questions are in the picture!!!!

Answers

Answer:

120°

Step-by-step explanation:

the angle is exceeding the 90° so it will be 120°

PLEASE help.
I feel like the logical answers I have picked are constantly being said to be wrong.
if anyone knows the official answers please let me know.

This is on FoolProof, "Renting a Pad"; aka Module 9.

Answers

1 - Not Rent
2 - Not rent
3 - Rent
4 - Rent
5 - I think Not rent?
6- not rent.

5 Can be fixable, because you can just simply not do any of those things. But if that’s not an option I would definitely say not rent

Evaluate 7+ (-3x?) for x = 0.




Answers

Answer:

it's just 7

Step-by-step explanation:

because if x is 0 then -3 times 0 will be 0 and 7 + 0 is 7

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