Write an explicit formula for the arithmetic sequence:
-2,7,16,25,...

Answers

Answer 1

Answer:

a_n = 9n - 11

Step-by-step explanation:

Explicit rule for an arithmetic sequence is a_n = a_1 + (n-1) d

a_1 is the first term of the sequence

d is the common difference. To find d you pick a number in the sequence and subtract it by the previous number. For example, 7 - (-2) = 9

16 - 7 = 9 so, d = 9

a_1 = -2 since it is the first term. Now substitute these numbers into the formula.
a_n = -2 + (n-1)(9)

And then we simplify.
9 • n = 9n

9 • -1 = -9
Then we’ll have a_n = -2 + 9n -9 and well simplify even further.
-2 -9 = -11

So we get

a_n= 9n -11


hope that helped! God bless you!!


Related Questions

Find two irrational numbers between 5 9 and 16 5

Answers

Answer:

Step-by-step explanation:

I am assumimg you mean 5/9 and 16/5.

2 irrational numbers between these values are e and π.

Two irrational numbers between 5 / 9 and 16 / 5 are,

⇒ 0.56674549....

⇒ 0.588454755....

What is Rational number?

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Given that;

Two rational numbers are,

⇒ 5 / 9 and 16 / 5

Now, We get;

⇒ 5 / 9 = 0.5555

⇒ 16 / 5 = 3.2

Hence, Two irrational numbers between 5 / 9 and 16 / 5 are,

⇒ 0.56674549....

⇒ 0.588454755....

Thus, Two irrational numbers between 5 / 9 and 16 / 5 are,

⇒ 0.56674549....

⇒ 0.588454755....

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Spongebob and Patrick are selling kelp fries to fundraise for new jellyfishing nets. They sold
small and large sizes. Spongebob sold 3 small fries and 14 large fries for a total of $203.
Patrick sold 11 small fries and 11 large fries for a total of $220. Find the cost of each size of
fries.
a

Answers

Answer:

So, cost of small size is $7 and cost of large size is $13.

Step-by-step explanation:

Let cost of each small size - x, cost of each large size - y

By the question,

3x + 14y = 203

11x + 11y = 220

From the first equation, we get,

3x + 14y = 203

or, 3x = 203 - 14y

so, x = (203 - 14y)/3

Substituting x's value in second equation :-

11x + 11y = 220

or, 11 { (203 - 14y)/3 } + 11y = 220

or, {2233 - 154y}/3 + 11y = 220

or, { 2233 -154y + 33y} = 660

or, 2233 - 121y = 660

or, 121y = 2233 - 660

or, 121y = 1573

so, y = 1573/121

so, y = 13

Now,

As we know,

x = (203 - 14y)/3

or, x = ( 203 - 14 × 13)/3

or, x = (203 - 182)/3

so, x = 21/3

so, x = 7

So, cost of small size is $7 and cost of large size is $13.

is 2/100the fractional form of 0.02??

Answers

Answer:

Yes it is

Step-by-step explanation:

2/100 = 0.02

You have to move two spaces to the left of 2, as 100 contains two zeroes (u must start counting from 2 and put zeroes along, until u finish counting)

after u finish counting put a 0. in the left of of all the zeroes and the 2

Between 1966 and 1976 by what percentage did the average number of passengers per aircraft increase?

A 38

B 58

C 61

D 137

Answers

Answer:

C 61

Step-by-step explanation:

Jason has two bags with 6 tiles each. The tiles in each bag are shown below:

Six squares are numbered sequentially from 1 to 6.

Without looking, Jason draws a tile from the first bag and then a tile from the second bag. What is the probability of Jason drawing an even tile from the first bag and an even tile from the second bag?

6 over 12
9 over 12
6 over 36
9 over 36

Answers

Answer:

9/36

Step-by-step explanation:

Given :1,2,3,4,5,6

first draw even probability 3/6=1/2

second draw even probability 3/6=1/2

1/2x1/2 or 3/6 x3/6= 1/4 or 9/36

what is the quotient and remainder for 56,677 divided by 8

Answers

708 is quotient and remainder is 3

Answer:

quotient: 7084

remainder: 5

-10(x – 7) – 3x simplified

Answers

-13x + 70 is the answer .

Find the 14th term in the following sequence: -1, -3, -5, -7, ..​

Answers

Answer:

[tex]t_{14}[/tex]= -27

Step-by-step explanation:

a = -1

 and d = -3 - (-1)

            = -2

Basically, [tex]t_{14}[/tex] = a + 13d

                     = -1 + 13 x (-2)

                     = -1 - 26

                     = -27

3/5•3/5•3/5=?
3/5•5/5•4/5=?
Please?

Answers

how you multiply fractions

3 • 3 • 3 / 5 • 5 • 5
27/125

3 • 5 • 4 / 5 • 5 • 5
60/125
simply if needed
12/25

it’s very simple you’re welcome fellow learner :)

Answer:

1) 27/125

2) 12/25

Step-by-step explanation:

3*3*3 = 27

3*5*4= 60, but simplified is 12/25

Please solve this equation

Answers

Answer

(1 - sin2x)/(sin - 1)

Step-by-step explanation:

tan225° = 1

sin270° = -1

Substitue these values and you get:

(1 - sin2x)/(sin - 1)

Hope this helps!

How do we most easily graph an equation in the form Ax+By=C? Explain, and use at least one example.

Answers

Answer:

Rewrite the equation into the form of "y=mx+b", plot the y-intercept (b), plot the x-intercept(s), then create the line.

Step-by-step explanation:

Example: 2x + y = 1

Rewrite: y = -2x + 1Plot y-intercept: (0, 1)Plot x-intercept: (1/2, 0)Draw line

I hope this helps!

5.7 times -4.2. step by step

Answers

Answer:

5.7×-1.2=-7.14

Step-by-step explanation:

+5.7(×)-1.3

+(×)- = -(it gives a negative answer)

so you multiply 5.7 and 1.3= 7.14

you just add a negative sigh to the ans

answer=-7.14

please consider a brainlest question

HELP ILL GIVE BRAINLIEST

Line A has a slope of 6. Line B has a slope of -1/6. Are these lines perpendicular?

Answers

Answer:

Yes

Step-by-step explanation

Lines are perpendicular when they have the reprocial slope with the opposite sign.

Yes, the lines having slopes 6 and -1/6 are perpendicular.

What is slope?

The slope of a line is a number that describes  the direction  of the line. The formula of calculating slope is calculated as under:

Slope=[tex](y_{2} -y_{1} )/(x_{2} -x_{1} )[/tex].

How to identify perpendicular lines?

We have been given that the slope of line A is 6 and slope of line B is -1/6.

Two lines are seem to be perpendicular to each other if the product of their slopes is equal to -1.

Product=slope of line A * Slope of line B

=6*(-1/6)

=-6/6

=-1

Hence the lines having slopes 6 and -1/6 are perpendicular to each other.

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A used car lot sold 12 minivans last month, along with 54 other vehicles. Considering this data, how many of the next 77 vehicles sold should you expect to be minivans?

47 points and brainiest to the answer!

Answers

Total cars 12+54 = 66
Find percentage of minivans.
12/66 = 0.1818 or ~18%

~18% of 77
77* 0.1818 = 13.999 ~ 14 rounded

The table below shows the cost of a monthly gym membership.

Which equation would you use to find the total cost,
T, of the gym membership for m months?
1. T=30m+25
2. T=15m
3. T=30m+15
4. T=45m

Answers

Answer: $15+( 30×the number of months)

The third answer iis right.

Step-by-step explanation: First month you pay 15 And you top up with 30 every month

Answer:

3

Step-by-step explanation

bc you need to look at one month and its 45 each month its 30 + 15

7) It Snowed 55" this winter. Last winter it snowed 60". What is the approximate percent declir
in snowfall this winter?
a. 8%
b. 9%
C. 10%
d. 11%

Answers

Let's see

[tex]\\ \rm\dashrightarrow \dfrac{60-55}{60}\times 100[/tex]

[tex]\\ \rm\dashrightarrow \dfrac{5}{60}\times 100[/tex]

[tex]\\ \rm\dashrightarrow \dfrac{50}{6}[/tex]

[tex]\\ \rm\dashrightarrow 8.3\%[/tex]

Which of the following points lies on the circle x2 + y2 = 400

Answers

Answer:

C is the answers for the question

I NEED HELP PLSS I HAVE NOO TIME LEFT

Answers

Step-by-step explanation:

x/15 = y/6

x = 15y/6

x/y = 15/6 = 5/2

Elimination was used to solve a system of equations.
One of the intermediate steps led to the equation 2x = 8.
Which of the following systems could have led to this equation?
3x - y = 15
x + y = 7
x + 3y = 24
- x - 3y = 16
4x + 2y = 14
x + y = 3
2x+2y = 8
- 2x - 2y=8

Answers

Answer:

  (c)  4x + 2y = 14; x + y = 3

Step-by-step explanation:

The given equation will be the result of eliminating the y-variable from the system. When we do that for the different answer choices, we get ...

a

Add the two equations: (3x -y) +(x +y) = (15) +(7)  ⇒  4x = 22

b

Add the two equations: (x +3y) +(-x -3y) = (24) +(16)  ⇒  0 = 40

c

Subtract twice the second from the first.

  (4x +2y) -2(x +y) = (14) -2(3)  ⇒  2x = 8 . . . . the system we're looking for

d

Add the two equations: (2x +2y) +(-2x -2y) = (8) +(8)  ⇒  0 = 16

_____

Additional comment

When the equation reduces to 0 = constant, and "constant" is not zero, it means the system of equations has no solution. (The equations describe parallel lines.)

Please help me with this math problem!! Will give brainliest!! NO LINKS PLEASE!! Thanks!! :)

Answers

First one is 70 degrees

Answer:

Step-by-step explanation:

arc EF=90-20=70°

arc FDA=20°

∠ABC==180-20=160°

Nile’s places £4000 in a bank account that pays 2.5% simple interest per year how much interest will he earn in 4 years

Answers

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \pounds 4000\\ r=rate\to 2.5\%\to \frac{2.5}{100}\dotfill &0.025\\ t=years\dotfill &4 \end{cases} \\\\\\ I = (4000)(0.025)(4)\implies I=400[/tex]

Solve this and get points please . :)

6 + 3 x 2 - 5 +( 7 - 1 )

And try Ur best , remember to work at a good pace and take Ur time.

Answers

Answer:

13

Step-by-step explanation:

6+3 x 2-5+(7-1)

6+3 x 2-5+(6)

6+6-5+6

12-5+6

7+6

13

given:

[tex]6 + 3 \times 2 - 5 + (7 - 1)[/tex]

solution:

you can follow BODMAS rule where,

B= brackets

O= Order

D= Division

M= Multiplication

A= Addition

S= Subtraction

let's solve:

[tex]6 + 3 \times 2 - 5 + (7 - 1)[/tex]

[tex] = 6 + 3 \times 2 - 5 + 6[/tex]

[tex] = 6 + 6 - 5 + 6[/tex]

[tex] = 12 - 5 + 6[/tex]

[tex] = 7 + 6[/tex]

[tex] = 13[/tex]



The following table shows the heights, in inches, of the players on

the opening-night roster of the 2015-2016 New York Knicks.

84

80

87

75 77

79

80

74 76 80

80

82

82

The population standard deviation of these data is approximately

(1) 3. 5

(3) 79. 7

(2) 13

(4) 80

Answers

If the value of the mean is 79.6923 then the standard deviation is 3.5. Then the correct option is A.

What is a standard deviation?

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

The following table shows the heights, in inches, of the players on the opening-night roster of the 2015-2016 New York Knicks.

84, 80, 87, 75, 77, 79, 80, 74, 76, 80, 80, 82, 82

The mean will be

N = 13

[tex]\mu = \dfrac{84+ 80+ 87+ 75+ 77+ 79+ 80+ 74+ 76+ 80+ 80+ 82+ 82}{13}\\\\\mu = \dfrac{1036}{13}\\\\\mu = 79.6923[/tex]

Then the standard deviation will be

[tex]\sigma = \sqrt{\dfrac{\Sigma _{i=2}^N (x_i - \mu)^2}{N}}\\\\\sigma = \sqrt{\dfrac{(84-79.6923)^2+(80-79.6923)^2+ ..... + (82-79.6923)^2}{13}}\\\\\sigma = 3.4947128281848 \approx 3.5[/tex]

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. A set of trading cards sells for $8.95
before tax. After sales tax, it costs
$9.60. What is the sales tax rate?

Answers

7.3% is the sales tax rate

16. The ordered pairs below represent a linear
function.
(2,64), (14,77), (x, y)
Which values could be the values of x and y?

Answers

In the difference between the first and second pair it seems 12 was added to the x and 13 to the y so if we repeat that we get (26,90)

Steve is turning half of his backyard into a chicken pen. His backyard is a 24 meter by 45 meter rectangle

Answers

C keep it up bro love you or d or b or a

An expression is shown in the photo, which statement is true about the expression? Options are in the photo.

Answers

Answer:

It is irrational and equal to 4square root 2

Could I get some help on this?

Answers

Answer:

200.5ft²

Step-by-step explanation:

According to my calculation this is the answer ..

Two similar solids have a surface areas of 48ft^2 and 147ft^2 respectively. If the volume of the smaller solids is 320ft^3, what is the volume of the larger solid?

Answers

Two similar solids have a surface area of 48ft^2 and 147ft^2 respectively.  If the volume of the smaller solids is 320ft^3 and the volume of the larger solid is 1715 cubics in.

What is a triangle?

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

Two similar solids have a surface area of 48ft^2 and 147ft^2 respectively.

If the volume of the smaller solids is 320ft^3.

Since the solids are similar, the ratio of the surface areas is equal to the square of the scale factor, k.

Thus, k2 = 147 / 48 , or k = 49/16 = 7/4

The ratio of the volumes of the solids is equal to k3, which gives:

V / 320 = (7/4)^3

where V is the volume of the larger solid.

V = 320 x  (7/4)^3

= 1715 cubics in

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This triangular prism is 22 inches tall and has a base with an area of 60 square inches. What is the volume of the prism?
ANSWER CHOICES:
1320 cubic inches
82 cubic inches
660 cubic inches
729,000 cubic inches
ANSWER QUICKLY

Answers

Answer:

A 1320

Step-by-step explanation:

22 x 60

1320

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