A sequence is defined by the explicit formula an=3n+4 Which recursive formula represents the same sequence of numbers?

A Sequence Is Defined By The Explicit Formula An=3n+4 Which Recursive Formula Represents The Same Sequence

Answers

Answer 1

Answer:

Option (3)

Step-by-step explanation:

Explicit formula of the sequence is,

[tex]a_n=3^n+4[/tex]

From this explicit formula,

First term of the sequence will be,

[tex]a_1=(3^1)+4[/tex]

[tex]a_1=7[/tex]

Second term of the sequence,

[tex]a_2=(3^2)+4[/tex]

[tex]a_2[/tex] = 13

3rd term of the sequence,

[tex]a_{3}=(3^3)+4[/tex]

   = 31

Sequence formed,

7, 13, 31 ..........

From the given options,

Recursive formula,

[tex]a_n=3a_{n-1}-8[/tex]

[tex]a_2=3(a_1)-8[/tex]

[tex]a_2=3(7)-8[/tex]

[tex]a_2=21-8[/tex] = 13

[tex]a_3=3a_2-8[/tex]

[tex]a_3=3a_2-8[/tex]

[tex]a_3=3(13)-8[/tex]

    = 39 - 8

    = 31

Sequence formed from this recursive formula will be,

7, 13, 31........

Therefore, Option (3) will be the answer.

Answer 2

Answer:

C

Step-by-step explanation:

i took the test


Related Questions

Use the point-slope form of a line to write the equation of a line that has a slope of 2 and passes through the point (–4, 3). Write the equation in slope-intercept form.

Answers

Answer:

Equation of a line y = mx + c

m = slope

m = 2

Using point ( -4,3)

Equation of the line is

y - 3 = 2(x +4)

y - 3 = 2x + 8

y = 2x + 8 + 3

y = 2x + 11

Hope this helps.

Answer:

B. Y = 2x + 11

Step-by-step explanation:

Got it right on edg.

What is the product of 6x – y and 2x – y + 2?

Answers

Answer:

12x^2 - 8xy + y^2 + 12x - 2y

Step-by-step explanation:

Jacob is asked to simplify the expression-3a+4b+5a+(-7b) -3a+4b+5a+(-7b) = -3a+5a+4b+(-7b) which property is this ?

Answers

Combining like terms.

Answer:

B

Step-by-step explanation:Communative property.

how do you write 25 x 10^6 in standard form

Answers

Answer:

2.5*10^7

Step-by-step explanation:

Answer:

Brainliest!!!

Step-by-step explanation:

See picture

Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2-5-8
b) -7 -12 -17 -22 -27

Answers

Answer:

a: -3n+1

b:-5n-2

Step-by-step explanation:

a: it is -3+1 because you can see that the sequence is going down by 3, so it is the 3 times table, but because the number is 4, and 4 is 1 more than 3, you put plus one at the end. :)

b: similar to the last, it's going down by five, but it is two less this time, so you put minus two instead.

Hope this helps :),

Lily

Election Three candidates run for an office in a local election. In all, 12,936 votes
are cast, and the breakdown of votes for the three candidates is in the extended ra
3:4:5. Find the actual numbers of votes cast for the three candidates.​

Answers

Answer:

3234

4312

5390

Step-by-step explanation:

3x +4x + 5x = 12936

12x = 12936

Can you help me with this question

Answers

Answer:

-1.67

Step-by-step explanation:

Which is the graph of the function f(x) = -√x

Answers

Answer:

1st Graph

Step-by-step explanation:

Easiest and quickest way is to graph the function in a graphing calc and then choosing the best answer.

Solve 2cos ²y -siny -1=0 for 0° ≤y≤360°

Answers

 

[tex]\displaystyle\bf\\2cos^2y -sin\,y -1=0~~~for~~0^o\leq y \leq360^o\\\\cos^2y=1-sin^2y\\\\2(1-sin^2y) -sin\,y -1=0\\\\2-2sin^2y-sin\,y-1=0\\\\-2sin^2y-sin\,y+2-1=0\\\\-2sin^2y-sin\,y+1=0~~~\Big|\times(-1)\\\\2sin^2y+sin\,y-1=0[/tex]

.

[tex]\displaystyle\bf\\\boxed{\bf sin\,y=x}\\\\2x^2+x-1=0\\\\x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-1\pm\sqrt{1-4\cdot2\cdot(-1)}}{2\cdot2}=\\\\=\frac{-1\pm\sqrt{1+8}}{4}=\frac{-1\pm\sqrt{9}}{4}=\frac{-1\pm3}{4}\\\\x_1=\frac{-1+3}{4}=\frac{2}{4}=\boxed{\bf\frac{1}{2}}\\\\x_2=\frac{-1-3}{4}=\frac{-4}{4}=\boxed{\bf-1}\\\\sin\,y=\frac{1}{2}\\\\\boxed{\bf y_1=\frac{\pi}{6}~~or~~(30^o)}\\\\\boxed{\bf y_2=\frac{5\pi}{6}~~or~~(150^o)}\\\\sin\,y=-1\\\\\boxed{\bf y_3=\frac{3\pi}{2}~~or~~(270^o)}[/tex]

 

 

Work out the surface area of this cylinder
8.2 cm
17.5 cm

Answers

Answer: 1324.12 sq. cm.

Step-by-step explanation:

A=2πrh+2πr2

A = 2π x 8.2 x 17.5 + 2π x 8.2^2

A = 2π x 143.50 + 2π x 67.24

A= 1324.12

Answer:

SA = 1324.1 cm²

Step-by-step explanation:

Surface Area of Cylinder = [tex]2\pi rh+2\pi r^2[/tex]

Where r = 8.2 cm, h = 17.5 cm

=> SA = [tex]2(3.14)(8.2)(17.5)+2(3.14)(8.2)^2[/tex]

=> SA = [tex]901.6+2(3.14)(67.24)[/tex]

=> SA = 901.6 + 422.5

=> SA = 1324.1 cm²

Please HELP!!!!!!!!!!!!!!!!!

Answers

Answer:

I think it might be the second one or maybe the first one

Step-by-step explanation:

Im not quite sure so dont blame me if its wrong

Which point is in Quadrant IV?

Answers

Answer:

1,1 or -1,3

Step-by-step explanation:

Answer:

h

Step-by-step explanation:

bottom right quadrant is IV

A boy carries a 2 kg bag and walks 8m on a level road to his house. How much work has he done by carrying the bag? a. 4 J b. 16 J c. zero

Answers

Answer:

160J

Step-by-step explanation:

I think this is the answer

given that2025=
[tex] {3}^{k \times } {5}^{t} [/tex]
state the values of k and t​

Answers

Answer:

k = 4, t = 2

Step-by-step explanation:

Express 2025 as a product of its prime factors

2025 = [tex]3^{4}[/tex] × 5², that is

[tex]3^{4}[/tex] × 5² = [tex]3^{k}[/tex] × [tex]5^{t}[/tex]

Comparing exponents of same bases on both sides, gives

k = 4 and t = 2

A large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342 which statement can be used to write an expression and then find the number of peanuts that ended up in each bag

Answers

Answer:

342/6 = 57

Step-by-step explanation:

Just basic division

ANSWER:

342/6 = 57

just basic division


PLEASE HELP MEEEEEEE THANK YOU
Choose the best answer: The solution of ? includes the entire line y = 2x + 1.


y 2x + 2

y 2x + 1

y < 2x

y 2

Answers

Answer:

the correct one is y < 2x

Step-by-step explanation:

Answer:

y  2x + 1 or B

Step-by-step explanation:

thats whats right on edge

(8x - 4)(7y + 2) multiplying binomials

Answers

Step-by-step explanation:

8x(7y+2)-4(7y+2)

=56xy+16x-28y-8

Answer:

56xy+16x-28y-8

Step-by-step explanation:

you have to use the FOIL method to solve this is problem which is

F-First

O-Outer

I-Inner

F-Last

Each term in the sequence below is 9 more than 1/3 the previous term. What is the value of y-x?
81, 36, x, y,...
Plz explain

Answers

36/3=12. 12+9=21. X=21. 21/3=7. 7+9=16. Y=16. 21-16=5

Answer:

y - x = - 5

Step-by-step explanation:

Applying the rule gives

x = [tex]\frac{1}{3}[/tex] × 36 + 9 = 12 + 9 = 21

y = [tex]\frac{1}{3}[/tex] × 21 + 9 = 7 + 9 = 16

Thus

y - x = 16 - 21 = - 5

Alejandra correctly wrote the equation y - 3 = (x - 10) to represent a line that her teacher sketched. The teacher then
changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent
the new line?
O y-6 = 2(x - 10)
Oy-2 = 5(x - 10)
Oy-3 = {(x-2)
Oy-3 = 2(x - 10)

Answers

I think it’s D but I could be wrong

3 quarts but in cups

Answers

Answer:

12 cups

Step-by-step explanation:

there are 4 cups in 1 quart.  You multiply both of them by 3 so there are 12 cups in 3 quarts

Answer:

12 cups

Step-by-step explanation:

1 quart = 4 cups

4*3 = 12

12 cups

brainliest??

Aria and her children went into a bakery and will buy donuts and brownies. She must buy at least 6 donuts and brownies altogetherWrite an inequality that would represent the possible values for the number of donuts purchased, d, and the number of brownies purchased, b.

Answers

Answer:

Inequality for donuts and brownies is;

d ≥ 1 ≤ b

Step-by-step explanation:

We are told that aria will buy donuts and brownies.

We are also told that, number of donuts is d while number of brownies is b.

We are also told that she must by at least a total of 6 donuts and brownies together. Which means that the sum of d and b must not be 6 or greater than 6.

So the inequality will be;

d + b ≥ 6

Thus, for the donut and brownies, inequality would be; d ≥ 1 ≤ b

Answer: d+b≥6 is the correct answer trust me

Alexandra and her children went into a movie theater and will buy bags of popcorn
and drinks. She must buy at most 12 bags of popcorn and drinks altogether. Write an
inequality that would represent the possible values for the number of bags of popcorn
purchased, b, and the number of drinks purchased, d.

Answers

Answer:

let number of bags of popcorn = b

let number of drinks = d

at most = maximum

b + d ≤ 12

a number between 891 and 909 that is divisible by 10​

Answers

Answer:

[tex]900[/tex]

Step-by-step explanation:

[tex]892/10=89.2\\893/10=89.3\\894/10=89.4\\895/10=89.5\\896/10=89.6\\897/10=89.7\\898/10=89.8\\899/10=89.9\\900/10=90\\901/10=90.1\\902/10=90.2\\903/10=90.3\\904/10=90.4\\905/10=90.5\\906/10=90.6\\907/10=90.7\\908/10=90.8\\909/10=90.9[/tex]

A number between 891 and 909 that is divisible by 10 is 900

given that £1=$1..62 what is 650 pounds in dollars

Answers

1 pound = 1.62 dollars.

Multiply total pounds by 1.62 for total dollars.

650 x 1.62 = $1,053

How many terms are in the expression 5m2 - mn + 4n + 7?
Simplify 11(2x + 3).

Answers

Answer:

4 terms

22x+33

Step-by-step explanation:

1. You count 1, 2, 3, 4 because there are no like terms to combine

2. you can use the distributive property to multiply the terms

(2x times 11) plus (3 times 11)

Answer:

4 terms; 22x + 33

Step-by-step explanation:

5m2 - mn + 4n + 7:

Expressions are made out of terms. A term can be a number, a variable, or a mixture of them. They are either added or subtracted.

In 5m2 - mn + 4n + 7, the terms are:

5m2mn4n7

There should be 4 terms in the expression.

11(2x+3):

[tex]11(2x+3)\\\text{Distribute.}\\\\11*2x=22x\\11*3=33\\\\11(2x+3)=\boxed{22x+33}[/tex]

On Monday, Crisitan groomed 15 dogs in 10 hours and Kenneth groomed 10 dogs in 8 hours. If they each make $12.75 per dog, how much did they each make on Monday?

Answers

Answer:

Christian made $191.25 and Kenneth made $127.50 each.

Step-by-step explanation:

With each dog, you multiply how many dogs with the amount of cash they get each dog.

Christian: 15x12.75= $191.25

Kenneth: 10x12.75= $127.50

So you just multiply the amount of dogs with money :)

Calculate the lateral area of a right prism with a heptagon base side of 4 feet and a
height of 10 feet.

Answers

Answer:

280 ft2

Step-by-step explanation:

The lateral area of this prism consists of seven rectangles, each one with dimensions 4 feet by 10 feet.

The area of one of these rectangles is:

[tex]A = base * height = 4 * 10 = 40\ ft^2[/tex]

Then, the area of the seven rectangles is:

[tex]Lateral\ area = 7*A = 7*40 = 280\ ft^2[/tex]

So the lateral area of this prism is 280 ft2.

Which equation is parallel to the line y=2x+6 and passes through the point (8,1)?
y = 2x+6

y = 2x-15

y = 2x+10

y = -2x-7

Answers

The answer is y = 2x - 15

The equation of a line is y = mx +c

m = slope

c = y intercept

From this equation y=2x+6

m = 2

Since the lines are parallel their gradients are also the same

Equation of the line using point (8,1) is

y - 1 = 2(x-8)

y - 1 = 2x - 16

y = 2x - 15

Hope this helps

Answer: y=2x-15

Step-by-step explanation: Since the lines are parallel their slopes will be the same, so all you need to do is plug in (8,1) in the x and y values of the equation: y=2x+b. When you do this you get 1=2(8)+b. Simplify. The b value will be -15 which is the y-intercept so the answer is y=2x-15

Christine must buy at least $45$ fluid ounces of milk at the store. The store only sells milk in $200$ milliliter bottles. If there are $33.8$ fluid ounces in $1$ liter, then what is the smallest number of bottles that Christine could buy? (You may use a calculator on this problem.)

Answers

Answer:

7 bottles

Step-by-step explanation:

Christie needs to buy at least 45 fluid ounces of milk at the store.

33.8 fluid ounces=1 Liter

1 fluid ounce = [tex]\dfrac{1}{33.8}[/tex] Liters

45 fluid ounces = [tex]\dfrac{1}{33.8} \times 45 =1.3313$ Liters[/tex]

Now:

1 Liter =1000 Milliliter

Therefore:

1.3313 Liter= 1000 X 1.3313 Milliliters

1.3313 Liter= 1331.3 Milliliter

Therefore, the smallest number of 200 milliliter bottles Christie must buy is:

[tex]=\dfrac{1331.3}{200}=6.7 \\\approx 7$ bottles[/tex]

Answer:

7

Step-by-step explanation:

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below and to the right of the line is shaded. Which linear inequality is represented by the graph? y ≤ 2x + 4 y ≤ one-halfx + 3 y ≥ One-halfx + 3 y ≥ 2x + 3

Answers

Answer: [tex]y \leq \frac{1}{2} x+3[/tex]

Step-by-step explanation:

If a function has a positive slope, that means the y value is increasing with respect to x. As you go down the x-axis, the y value will continuously increase.

First you want to plot the two sets of coords that they gave you, or else you wont know what the line looks like. Or, you could visually do it in your head. We're going down -4 on the x-axis and down 1 on the y-axis. Then for our second coords, we are going to 0 on the x-axis, then up 3 on the y-axis.

You could plot this for yourself, but im going to do it in my head for simplicity. We also need to find the slope of this function in order for us to find the y-intercept. The slope is change in y divided by the change in x. Subtract the initial position from the final position.

3 - 1 = 2

0 - (-4) = 4

2/4 = 1/2

The new equation is:

[tex]y=\frac{1}{2} x+b\\plugin(0,3)\\3=\frac{1}{2} (0)+b\\b=3[/tex]

Everything is shaded below and to the right of the line. They said the line was solid, so that means less than or equal to, [tex]\leq[/tex]

Answer:

B

Step-by-step explanation:

Other Questions
Which type of mutation results in a frame shift mutation? Check all that apply? Substitute Insertion Deletion Point mutation What is the solution to the equation 2 (4 minus 3 x) + 5 (2 x minus 3) = 20 minus 5 x? x = 13 x = StartFraction 5 Over 4 EndFraction x = StartFraction 13 Over 2 EndFraction x = 3 Please help asap, you will get awarded please discuss the similarities and differences between transformational and charismatic leadership. Choose an individual that qualifies as a charismatic or transformational leader and explain why. Also, in your analysis, what are some of the unique characteristics of this individuals followers that might identify him/her as charismatic or transformational Find the z-Transform X(z) of the signal x[n] = cos(0n)u[n] QuadrilateralWy has vertices W. 19), X10, 10x10,2), and 32,2). Determine if quadrilateral WXYZ is a rhombus, What is the area of the parallelogram if each square is 1 square foot? a. 12 ft b. 12 ft c. 12 d. 12 feet Which linear function has the same y-intercept as the one that is represented by the graph? On a coordinate plane, a line goes through points (3, 4) and (5, 0). it is a fearful thing to lead this great peaceful people into war into the most terrible and disastrous of all. based on the excerpt, what can be said about president's wilsons character? 2. Emma is playing a game with two fair dice.She needs to score 5, using both dice, to win thegame.What's the probability she will win the game? What number should be in the blank in the sequence? 7; 17; 37; 77; ___ ; 317 which term best describes the function represented by the graph?A) Exponential GrowthB) Exponential DecayC) Linear Decreasing D) Linear Increasing The essence ofisthat everything workstogether to create anecosystem where allorganisms can survive andthrive.A. interdependenceB. evolutionC. ecology A gene pool consists of all the genes within a There are 20 wild pigs on an island and the number of pigs doubled each year for the past 5 years how would one describe the graph of this model Ski West, Inc., operates a downhill ski area near Lake Tahoe, California. An all-day adult lift ticket can be purchased for $85. Adulit customers also can purchase a season pass that entitles the pass holder to ski any day during the season, which typically runs from December 1 through April 30. Ski West expects its season pass holders to use their passes equally throughout the season. The company's fiscal year ends on December 31. On November 6, 2018, Jake Lawson purchased a season pass for $450.1. What will be included in the Ski West 2018 Income statement and balance sheet related to the sale of the season pass to Jake Lawson? Complete this question by entering your answers in the tabs below. 2. When should Ski West recognize revenue from the sale of its season passes?3. Prepare the appropriate ournal enteries that Sky West would record on November 6 and December 31. Use the following to answer question 46I . increase the currentII. use a stronger magnetIII. use thicker wireIV. reverse the batteryV. add more coils of wire inside the magnet46. To increase the force with which the wire is pushed when the switch is closed, which ofthe following things could be done?a. I and II onlyb. II, III, and IV onlyC. II and IV onlyd. I, II and V only47. A group of students had built a homemade motor and were in the process of trying totest it. When they hooked it up to their battery they found that the wires in their coil got hot, but the coil would not turn. Of the following solutions, which would be their bestcourse of action to make the motor spin?a. add more wire to the coilb. use a stronger magnetC. use a higher voltage batteryd. plug into an AC source SOMEONE HELP ASAP! IM STUCKKKKKK The British Department of Transportation studied to see if people avoid driving on Friday the 13th. They did a traffic count on a Friday and then again on a Friday the 13th at the same two locations ("Friday the 13th," 2013). The data for each location on the two different dates is in table #9.2.6. Estimate the mean difference in traffic count between the 6th and the 13th using a 90% level. Dates 6th 13th 1990, July 139246 138548 1990, July 134012 132908 1991, September 137055 136018 1991, September 133732 131843 1991, December 123552 121641 1991, December 121139 118723 1992, March 128293 125532 1992, March 124631 120249 1992, November 124609 122770 1992, November 117584 117263 Solids X and Y are similar.X has volume of 64 cm3Y has volume of 729 cm3The surface area of X is 208 cm2Work out the surface area of Y.