What is the explicit rule for the arithmetic sequence shown in the graph?

What Is The Explicit Rule For The Arithmetic Sequence Shown In The Graph?

Answers

Answer 1

The explicit rule for the sequence in the graph is f(n) = 9.5 + 2(n - 1)

Finding the explicit rule for the sequence

From the question, we have the following parameters that can be used in our computation:

The graph

In the graph, we can see that 2 is added to the previous term to get the new term

This means that

First term, a = 9.5

Common difference, d = 2

The nth term is then represented as

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

Substitute the known values in the above equation, so, we have the following representation

f(n) = 9.5 + 2(n - 1)

Hence, the explicit rule is f(n) = 9.5 + 2(n - 1)

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Related Questions

Solve (−7) ⋅ (−4)
A -28
B -11
C 28
D 11

Answers

Answer:

It would be C

Step-by-step explanation:

A negative times a negative is a positive, and 7 x 4 is 28

Answer: 28 positive C

Step-by-step explanation:

it C

27-[38-{46-(15-13-2)}]​

Answers

Answer:

27-[38-{46-(15-13-2)}]

27-(38-(46-0)

2-(38-46)

27-(-8)

27+8

35

Is this better

Translate to an algebraic equation
5 less than one-half x is fifteen.

Answers

I think this the answer:
5<1/2x=15

What is the quotient of 8.55 ÷ 1.5?

Answers

Answer:5.7

Step-by-step explanation:

Answer: 5.7

Step-by-step explanation:


plsssssssssssssssss hellllllpppppppp!!!!

Answers

Answer:

WHAT?

Step-by-step explanation:

What is the answer to 7/6 + 13/3=

Answers

Answer:

33/6 or 11/2 or 5.5

Step-by-step explanation:

One way to solve this is by using a calculator and spitting out a answer, but just in case you're not allowed to use a calculator, here's how you would do it on paper.

[tex]\frac{7}{6} +\frac{13}{3}[/tex]

The two denominators are different, so we have to make them the same by multiply either side (sometimes both) to make the denominator the same.

[tex]\frac{7}{6} +\frac{13}{3}*2\\\\\frac{7}{6} + \frac{26}{6}[/tex]

Now the denominators are the same. Since the denominators are the same, we can ignore the denominator for now and focus on the numerators.

26 + 7 = 33

The numerator is 33 when adding the two fractions together. Now, to make your fraction complete attach the denominator we ignored.

Your final answer is : [tex]\frac{33}{6}[/tex] or a simplified version [tex]\frac{11}{2}[/tex] or 5.5.

Answer:

11/2 or [tex]5\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]7/6 + 13/3\\\\\mathrm{Least\:Common\:Multiplier\:of\:}6,\:3:\quad 6\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\\\=\frac{7}{6}+\frac{26}{6}\\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}\\\\\frac{7}{6}+\frac{26}{6}=\frac{7+26}{6}\\\\=\frac{33}{6}\\\\\mathrm{Factor\:the\:number:\:}\:33=3\times\:11\\\\=\frac{3\times\:11}{6}\\\\\mathrm{Factor\:the\:number:\:}\:6=3\times\:2\\=\frac{3\times\:11}{3\times\:2}\\[/tex]

[tex]\\\mathrm{Cancel\:the\:common\:factor:}3\\=\frac{11}{2}\\\\= 5\frac{1}{2}[/tex]

define formal subgroup

Answers

Answer\

A subgroup is a subset of group elements of a group. that satisfies the four group requirements. It must therefore contain the identity element. "

What is the slope of the line represented by the equation
3
x
+
4
y
=
8
?

Answers

Answer:

The slope is -3/4

Step-by-step explanation:

3x+4y = 8

We want to get the equation in slope intercept form

y = mx+b where m is the slope

Subtract 3x from each side

3x+4y-3x= -3x+8

4y = -3x+8

Divide by 4

4y/4 = -3x/4 +8/4

y = -3/4x +2

The slope is -3/4 and the y intercept is 2


For the problem below, θ is a central angle in a circle of a radius r. Find the length of arc s cut off by θ.
( look at pictures for more information

Answers

Answer:

Here, we will use the formula from trigonometry which defines a radian

we know that an angle is a radian when the length of the radius of the circle is equal to the length of the arc formed

hence, if the radius is r and the arc is r, the angle (in radians) will be 1

if the radius is r and the arc is 2r, the angle in radians will be equal to:

length of arc / radius = 2r/r = 2 radians

I believe this will explain what is actually happening in these type of questions

So, the equation:

Θ(in radians) = s / r (where the length of arc is s and the radius is r)

π/4 = s / 12

s = or 9.42 inches

You have a CD with 8 rock songs, 3 blues songs, and 2 jazz songs. Today you hit the shuffle button on your CD players, which plays the songs in a random order. Tomorrow you do the same thing. What is the probability that the CD player plays a blues song first each day?​

Answers

Answer:

a random order

Step-by-step explanation:

because if you just hit shuffle it will be a random order

Answer:

2/13

Step-by-step explanation:

3(2x−7)+ 1/3 (7x+2)
Help please please

Answers

Answer:

25/3x - 61/3

Step-by-step explanation:

Step 1: Write expression

3(2x - 7) + 1/3(7x + 2)

Step 2: Distribute

6x - 21 + 7/3x + 2/3

Step 3: Combine like terms

25/3x - 61/3

Can someone please help me with this question?

Answers

Answer:

gbvdvgszfbv fxcv

Step-by-step explanation:

fdsbg vsfdr vfsdrb

Given the functions f(x)= 3x + 4 and g(x) = 5x - 10.  What is the value of  x for which f(x) = g(x) .​

Answers

Answer:

7

Step-by-step explanation:

According to the question,

f(x)= 3x + 4 and g(x) = 5x - 10 are equal.

So,

3x + 4 = 5x - 10

- 2x = - 10 - 4

-2x = -14

2x = 14

x = 7

chloe grew .52 inches this summer.Her brother Kade grew .53 inches. Who grew more over the summer?​

Answers

Answer:

Kade

Step-by-step explanation:

.53 is bigger than .52

nnnnnnnnnnnnnnnnnnnnnnnnnnnneeeeeeeeeeeeeeeeeeeeed

Answers

Answer:

x = 75

Step-by-step explanation:

x/5 = 15 divide both sides by 5 to get rid of fraction

5 × x/5 = 15 × 5

x = 75

which interval for the graphed function contains the local maximum?
[-1,0]
[1,2]
[2,3]
[3,4]

Answers

Answer:

B.1, 2

Step-by-step explanation:

That is 100% correct just took the test

Solve the following equation for y. 6x - 3y = 18

Answers

Answer:

Y=-6+2x

Step-by-step explanation:

So Since the tivne equation is 6x-3y=18, Isolate y Because we’re finding the variable y not x

So First subtract 6x on both sides (it doesn’t have to be the same number when subtracting like what they taught you in middle school, but you can’t combine those two since their different terms)

-3y=18-6x

Now divide -3 on both sodes to isolate Y

y=18-6x/-3

Simplify

y=-6+2x

If it’s not then i would need x the variable.


Please help me i can’t do it and i need to turn it in now

Answers

Answer:

1 with 3

2 with 5

3 with 2

4 with 1

5 with 4

Step-by-step explanation:

sorry if its wrong im not really good at this

I NEEEEEEEED HELPPPPPPPPPPPP!!!

Answers

I believe the correct answer is B

Please+++++ help me with these angles.
THANK YOU!!!!!

Answers

Answer:

1. consecutive interior angles

2. alternate exterior angles

3. alternate interior angles

4. alternate interior angles

5. alternate exterior angles

6. consecutive interior angles

7. not sure but i think it's corresponding angles

8. alternate interior angles

9. alternate exterior angles

10. corresponding angles

If a big of pretzels is 10.5 pounds and it cost $0.18 per pound what would I use to solve +,-,x or division ???n

Answers

You use multiplication

1 pound = 0.18 dollars

10.5*(1 pound) = 10.5*(0.18 dollars) .... multiply both sides by 10.5

10.5 pounds = (10.5*0.18) dollars

10.5 pounds = 1.89 dollars

So in short you simply multiply 10.5 and 0.18 to get 1.89 dollars as the final answer

Plzzzz help right answer gets brainly

Answers

Answer:

no enough information

the answer to the question is 70

Zinc roofing weighs 1.6 pounds per square foot. Jose wants to order 357.85 square feet of roofing. Before ordering, he calculates how much weight that will put on his roof. His calculation is shown below. 357.85 x 1.6 214710 + 35785 + 178.925 Why is his answer incorrect? A. He did not line up the decimal points in the factors. B.He put the decimal point in the answer in the wrong place. C.He did not use a placeholder when multiplying by one. D.He did not multiply 6 by 357.85 correctly.​

Answers

Answer:

c

Step-by-step explanation:

Help
I’m too slow for this

Answers

Answer:

129

Step-by-step explanation:

ok my friend the 2 angles are the same

Answer:

129 degrees

Step-by-step explanation:

I believe alternate interior angles are identical angles.

If one container of applesauce contains 3/3-4 ounces, how much applesauce is in a 6-pack of applesauce​

Answers

The total volume of applesauce in a 6-pack is  (22 + 1/2) ounces.

How much applesauce is in a 6-pack of applesauce​?

We know that a single cotainer of apple sauce contains 3 + 3/4 ounces of applesauce.

Now, a 6-pack of applesauce has 6 containesr on it, then the total volume of applesauce will be 6 times the volume that we have above, so what we need to solve here is the following product:

Volume = 6*(3 + 3/4) oz = (6*3 + 6*3/4) oz

We can simplify that to:

(18 + 18/4) oz

And rewrite the fraction as: 18/4 + 16/4 + 2/4 = 4 + 1/2

Then the total volume is:

(18 + 4 + 1/2) ounces = (22 + 1/2) ounces.

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how many are 15 x 15 ?​

Answers

Answer:

225

Step-by-step explanation:

Graph the line y=−3x+b if it is known that the graph goes through point:
A(−2, 4)
WILL GIVE 60 POINTS

Answers

Answer:

Step-by-step explanation:

A researcher was studying how the weights of horseshoe crabs along the East Coast vary between northern and southern habitats. In spring 2006, during breeding season, the researcher randomly selected 50 horseshoe crabs in southern habitats. In fall 2006, before the breeding season began, the researcher randomly selected 50 horseshoe crabs from northern habitats. It was found that crabs in southern habitats weighed more, so the researcher claimed that location had an effect on the weight of horseshoe crabs.
The response variable in this experiment is:_______.
A, the different habitat locations.
B. the crabs
C. the season each sample was taken.
D. the weight of the crab

Answers

Answer:

Option D (the weight of crab) would be the correct choice.

Step-by-step explanation:

In mathematics, the sum being analyzed depending on a variety of parameters, which have been calculated as explanatory variables, has become a response variable. It is analogous with the utilization of the definition of variables of the study. A variable with an order to respond is categorized as either a dependent variable.

Some other preferences are not connected with the sustaining. So choice D is the right one.

20 points please I need it soon
Solve for x: 12x+16y=6

x=12−34y

x=2−34y

x=12−43y

x=2+43y

Answers

The answer would be X= -4/3 Y + 1/2

5) On Monday, 411 students went on a trip to the zoo. All 9
buses were filled and 6 students had to travel in cars. How many students were
in each bus ?

Answers

Answer:

There were 45 students in each bus

Step-by-step explanation:

Arithmetic

One can be in situations where different mathematic operations must be performed in order to find a result. Four operations are known as basics in arithmetic: addition, subtraction, multiplication, and division.  Some basic logic is also needed on certain problems to decide what operations are adequate.

We know 411 students went on a trip to the zoo. There were 9 buses filled but 6 students didn't fit, so they had to travel in cars. This information tells us that 411 - 6 = 405 students went on the buses.

Since there were 9 buses, it means that each bus had 405 / 9 = 45 students.

There were 45 students in each bus

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