3. The following sequence shows the number of pushups Kendall did each week, starting with her first week of exercising: 6, 18, 54, 162…
(a) What is the recursive rule for the sequence?
(b) What is the iterative rule for the sequence?

Answers

Answer 1

{{{ THE BOLDED CHARACTERS SHOULD BE SMALL. }}}

SEQUENCE: 6, 18, 54, 162

18/6 = 3

54/18 = 3

162/54 = 3

then, r (common ratio) = 3

_________________________________________

RECURSIVE RULE: r = 3

an = a(n - 1) × r       [formula]

ANSWER: an = a(n - 1) × 3

_________________________________________

ITERIATIVE RULE: r = 3, a1 = 6

an = a1 × r^(n - 1)       [formula] [ ^(n-1) is an exponent]

ANSWER: an = 6 × 3^(n - 1)


Related Questions

Convert 456,300,000 to scientific notation.

Answers

Answer:

I believe it would be 4.563 x 10^8

[tex]2v^{2} +14=104[/tex]

Answers

Step-by-step explanation:

[tex]2 {v}^{2} + 14 = 104 \\ 2 {v}^{2} = 104 - 14 \\ 2 {v}^{2} = 90 \\ {v}^{2} = 90 \div 2 \\ {v}^{2} = 45 \\ v = \sqrt{45} [/tex]

I will leave the answer in square root form as i am not sure if you need to round your answer or not.

what is the volume of the cylinder?
5 yd
4 yd
cubic yards.
Volume

Answers

Answer:

volume=1yd x 1yd = q cubic yard

You flip a coin. What is P(not tails)? 50%

Answers

Heads I think I’m not really sure what your asking.

Please help me it’s due soon-

Answers

Answer:

B-16

Step-by-step explanation:

jsjjsjdjsjsjxjsjsijsjdjdjjsjzjzijzjsndjidjsjsid

help me please asap subtract with renaming

Answers

Answer:

1. 1/4

2. 43/10 or 4 3/10 either are correct.

3. 67/12 or 5 7/12 either are correct.

Step-by-step explanation:

I hope this helped.

Find the total surface area of this cone. Leave your answer in terms of pie.

Answers

Answer:

90[tex]\pi[/tex]

Step-by-step explanation:

if you want explanation say in comments

Will mark brainliest if you get the correct answer.

Answers

Answer:

2×2×5×7=20×7=140

2×3×6×7=36×7=252

252+140=392

Find the area of a parallelogram. If base = 15 cm; height= 5 cm

Answers

75


Base * Height = area
............................

Mark is going to an awards dinner and wants to dress appropriately. He has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of Mark's possible outfits are listed below.

Ir we take outfits 1, 2, 5, and 6 as a subset of the sample space, which of the statements below describe this subset?

Choose all answers that apply:

(Choice A)
The subset consists of all the outfits that do not have a white shirt.


(Choice B)
The subset consists of all the outfits that have either a blue shirt or a black shirt.


(Choice C)
The subset consists of all the outfits that have a black shirt.


(Choice D)
The subset consists of all the outfits that have a white shirt.

Answers

Solution:

Outfit         Shirt       Slacks        Tie

Outfit 1      Blue        Black         Red

Outfit 2     Blue        Grey          Red

Outfit 3    White       Black         Red

Outfit 4    White       Grey          Red

Outfit 5    Black       Black         Red

Outfit 6    Black       Grey         Red

We take the outfits 1, 2 , 5  and 6 as a subset of the sample space.

So these 1, 2, 5 and 6 consists either a blue shirt or a black shirt.

The subset consists of all the outfits that do not have a white shirt.

So the correct options are :

1. (Choice A)

The subset consists of all the outfits that do not have a white shirt.

2. (Choice C)

The subset consists of all the outfits that have a black shirt.

help with questions 10-13 plz!!

Answers

Answer:

._. ;

._. ;

._. ;

If u can now pls arigato

Answers

Answer:

1) A segment is a "part" of a line that is delimited by two points, such that it starts in a point and ends in another.

In segments the "endpoints" can commute, so is the same DA as AD.

In the image we can see 3 segments:

DA

AS

DS

2) A ray starts in a point and passes through another point, extending infinitely.

In this case, the ray DA is different than the ray AD, because the ray DA starts in D and extends to the right (because point A is at the right of point  D) infinitely.

And the ray AD starts in A and extends to the left infinitely (because point D is at the left of point A).

Also, because A and S are colinear, the rays:

ray DA = ray DS

Both of them start on D and extend infinitely to the right.

Then the rays we can see on this image are:

ray DA = ray DS

ray AS

ray SA = ray SD

ray AD.

4 rays in total.

3) The names of the segments are the ones we wrote in point 1.

DA

DS

AS

4) The segment that connects point D with point S is the segment DS.

5) The ray AS starts at A and goes to the right, then the one that goes toward the opposite of AS would be one that starts at A and goes to the left.

That one is the ray AD.

Write the polnt-slope form of the equation of the line passing through the points (-5, 6) and (0, 1).
y- 6 = 1(x + 5)
y+6= -1(x - 5)
y- 6 = -1(x + 5)
y+ 6 = 1(x - 5)

Answers

Answer:

y - 6 = -1 (x+5)

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1} \\[/tex]. Substitute the x and y values of (-5,6) and (0,1) into the formula and simplify like so:

[tex]m = \frac{(1)-(6)}{(0)-(-5)} \\m = \frac{1-6}{0+5} \\m = \frac{-5}{5} \\m = -1[/tex]  

So, the slope of the line is -1.

2) Now we have enough information to write the equation of the line in point-slope form. Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute real values for the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].

Since [tex]m[/tex] represents the slope of the line, substitute -1 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (-5, 6) in those places as well. This gives the following equation and answer:

[tex]y-6 = -1(x+5)[/tex]

Work out the circumference of this circle.
Take a to be 3.142 and write down all the digits given by your calculator.
16.8 cm

Answers

Answer: 52.7856cm

Step-by-step explanation:

Circumference of a circle = 2πr

Note that radius = Diameter / 2 = 16.8/2 = 8.4cm

Circumference = 2πr

= 2 × 3.142 × 8.4

= 52.7856cm

Therefore, the circumference of the circle is 52.7856cm

In circle S with m RST = 104°, find the angle
104°, find the angle measure of minor arc RT
T
S
R

Answers

Answer:

104

Step-by-step explanation:

:)

What exponential has a value of 729?

Answers

Answer: There are infinitely many.

For example, 5314410.5 or 93. You are probably looking for (3)^6 tho

What's the number between 1.35 and 1.351

Answers

Answer: + 1000

Step-by-step explanation:

An engineer designs a structure that is is 21 feet long and 3
yards high. What is the ratio of length to height?

Answers

Answer:

7:3

Step-by-step explanation:

Convert one of the measurements to the other before attempting to solve the question.

1 yard = 3 feet

Multiply both sides by 3 to get:

3 yards = 9 feet

Therefore the ratio would be

21:9

Simplify to 7:3 length to height.

Three angles of a quadrilateral measure 45°, 95°, and 111°. What is the measure of the fourth angle of the quadrilateral?​

Answers

Answer:

109°

Step-by-step explanation:

sum of angles of a quadrilateral=360°

45+95+111+fourth angle=360

fourth angle=360-251=109°


angle not necessarily drawn to scale

Answers

Answer:

pretty sure its 67

Step-by-step explanation:

straight line=180 and that one angle is a right angle

basically 90+23+x=180

x=67

Write a ratio of squares to circles​

Answers

Answer:

The ratio should be 2:3

Step-by-step explanation:

Hope this helped!

Answer:

2:3 or 2/3 depending on which form they want the answer in.

Step-by-step explanation:

There are 2 squares and 3 circles.

Two numbers have a sum of 49, and 4 TIMES the first number MINUS the second number is EQUAL to 141. What are the two numbers?

Answers

Answer:

I got 38 and 11

Step-by-step explanation:

PLEASE PLEASE PLEASE HELP 7 points

Answers

Answer:

a) 2x+(x+36)=90

Step-by-step explanation:

b) A1+A2=90°. (A=angle)

2x+(x+36)=90

2x+x+36=90

3x+36=90

3x=90-36

x=54/3

x=18

then A1=2x=2*18=36°

A2=x+36=18+36=54°

Which graphs have a line of symmetry? Check all of the boxes that apply.

Answers

Answer:

The last one is symmetrical.

The first one and the last one are correct.

Solve for x.

PLEASE ANSWER I WILL GIVE BRAINLIEST!!

Answers

Answer:

16 + 5 =21 21 is your answer

Step-by-step explanation:

When working in trigonometry, you typically measure angles in

Answers

Answer:

Radians

Hope that helps!

Step-by-step explanation:

plzz hurryyyy its for my mathhhh classss

Answers

Answer:

A

Step-by-step explanation:

4x+2 = 10

=> 2x+2 = 10-2x

The percent of Tom winning a game is 20%, he played 30 games. How mang games did he lose?​

Answers

Answer:

He won 6 games and lost 24 games.

M∠ACB = 52° , find m∠CBE =________°

Answers

Answer:

(1) It is given that line AB is tangent to the circle at A.

∴ ∠CAB = 90º     (Tangent at any point of a circle is perpendicular to the radius throught the point of contact)

Thus, the measure of ∠CAB is 90º.

(2) Distance of point C from AB = 6 cm    (Radius of the circle)

(3) ∆ABC is a right triangle.

CA = 6 cm and AB = 6 cm

Using Pythagoras theorem, we have

BC2=AB2+CA2⇒BC=

62+62

⇒BC=6

2

 cm

Thus, d(B, C) = 6

2

cm

(4) In right ∆ABC, AB = CA = 6 cm

∴ ∠ACB = ∠ABC      (Equal sides have equal angles opposite to them)

Also, ∠ACB + ∠ABC = 90º            (Using angle sum property of triangle)

∴ 2∠ABC = 90º

⇒ ∠ABC =

90°

2

= 45º

Thus, the measure of ∠ABC is 45º.

Step-by-step explanation:

Newton has a population of 23 000. The population decreases exponentially at a rate of 1.4% per year. Calculate the population of Newton after 5 years.

Answers

Answer:

Step-by-step explanation: 1.4 x the amount of years = 7 then 23000 divided by 7 = 3,285.7

Other Questions
Write an expression for "m decreased by 2. Julio recibi $640.000: gast las partes para pagar sus estudios y la parte para reparar el auto, cunto dinero le queda? What is the answer to the question Black Horse Transportation's sales budget for the first quarter follows: January$125,000 February 300,000 March290,000 All sales are on account (credit) with 50% collected in the month of sale, 30% collected in the following month after sale, and 20% collected in the second month after sale. There are no uncollectable accounts. The March cash receipts are: I dont really understand this question if anyone would help me out ! What happens when we ate ice cream on a hot day? Ashley runs around the following track. How many times must she run around the track in order to run a total distance of 4 km? measurements: 100m and 60m Which of the following is the solution to ? 3, -12, 48, -192, ...Find the common ratio for the geometricsequence. How does the color adaptation help fish residing in the coral reefs? You have 15 red marbles, 18 yellow marbles, and 12 blue marbles. If you putthem all in a bag and choose 1 marble at random, what is the probability thatthe marble is red? Answer in lowest terms. What was one advantage the Constitution had over the Articles ofConfederation? the area is ___ square units A number cube is rolled. What is the probability that a number greater than 4 will be rolled?1/62/31/35/6 Brooklyn was writing an article for her school paper and read a report that said 2 out of 20 items purchased at a clothing store were returned. The percent of items returned to the clothing store was _______ % As Maria continued to read about common conditions of the nervous system, she realized there was a category of cells called neuroglia that allowed neurons and the nervous system as a whole to properly function. Some of her symptoms seemed to fit with a condition that resulted from a slow destruction of some of these cells. Correctly match the cell type with the sentence that describes it. _______are the neuroglia, which help to regulate the reuptake of neurotransmitters from neural tissue. Cell bodies of unipolar neurons are insulated from adjacent cell bodies by . The ventricles of the brain are lined with _______, which form an epithelial layer that is permeable to cerebrospinal fluid. The macrophages of the Central Nervous System, which function to remove foreign microorganisms, are called_______ . The myelin sheath of the Central Nervous System is formed by________ . Axons of unipolar neurons are insulated by_________ , which increase the speed of the electrical impulse.Mlorogla The balance in Susan's checking account was $245.35. After the bank deposited interest into the account, her balance went to $248.02. How much interest did the bank pay Susan A company has recently been hiring new employees. Today the company has 26% more employees than it did a year ago. If there are currently 56,700 employees, how many employees did the company have a year ago? The sum of two numbers is 200 and the two numbers in a ratio of 2.3. What is the larger number Clinicke Inc. sells merchandise of $800,000 in 2020 that includes a two-year limited warranty against manufacturing defects as part of the selling price. Warranty costs are estimated to be 1% of sales. If the company incurred $2,200 of actual costs in responding to warranty claims in 2020 (related to 2020 sales), how much should Clinicke record in warranty expense for 2020