Find the iterative rule for
a1=4; an=1/3·an−1

A.) an=1/3•4^n
B.) an=1/3•4^n-1
C.) an=4•(1/3)^n
D.) an=4•(1/3)^n-1

Answers

Answer 1

Answer:

D.) a(n) = 4 * (1/3)^(n-1)

Step-by-step explanation:

a(1) = 1/3 * a(1-1) = 1/3 * a(0) = 4, so that

1/3 * a(0) = 4

a(0) = 12.

Answer choice D.) is such that a(0) = 4 (1/3)^(0-1) = 4*(1/3)^(-1) = 4 * 3 = 12, and assuming that the problem is well posed (i.e., exactly one of the answer choices is correct), we deduce that D.) is the correct answer choice.

 


Related Questions

9. Aaron has a lemonade business. If he sells each glass of lemonade for $2.75, and he sold 11
glasses of lemonade today, how much money did Aaron make?
Help me please this is due answer the question please

Answers

Answer:

$27.75

Step-by-step explanation:

Multiply $2.25 by 11 to get the answer

$30.25

Step-by-step explanation:

He sold 11 lemonades for $2.75 each, so you need to multiply the numbers to get your answer-

11 x 2.75 = 30.25

Which means he made $30.25

Line t passes through points (1, 11) and (5, 2). Line u is parallel to line t. What is the slope of line u?

Answers

Answer:

slope = - [tex]\frac{9}{4}[/tex]

Step-by-step explanation:

Calculate the slope of line t using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 11 ) and (x₂, y₂ ) = (5, 2 )

m = [tex]\frac{2-11}{5-1}[/tex] = [tex]\frac{-9}{4}[/tex] = - [tex]\frac{9}{4}[/tex]

Parallel lines have equal slopes , then

slope of line u is - [tex]\frac{9}{4}[/tex]

How do you solve this

Answers

Answer:

x = 8

Step-by-step explanation:

1. First, we should realize that the angle with 16x + 7 and the angle with 5x + 5 are same-side interior angles, meaning they add up to 180 degrees. This means that 16x + 7 + 5x + 5 = 180.

2. (Solving)

Step 1: Simplify both sides of the equation.

[tex](16x+5x)+(7+5)=180[/tex] [tex]21x + 12 = 180[/tex]

Step 2: Subtract 12 from both sides.

[tex]21x + 12 - 12 = 180 - 12[/tex] [tex]21x = 168[/tex]

Step 3: Divide both sides by 21.

[tex]\frac{21x}{21}=\frac{168}{21}[/tex] [tex]x = 8[/tex]

Step 4: Check if solution is correct.

[tex]16(8)+7+5(8)+5=180[/tex] [tex]128 + 7 + 40 + 5 = 180[/tex] [tex]135 + 40 + 5 = 180[/tex] [tex]175 + 5 = 180[/tex] [tex]80= 80[/tex]

Therefore, x = 8.

What is the equation of the line that passes through the point (5, 4) and is perpendicular to the line whose equation is 2x + y = 3 in standard form?

Answers

So a line that is perpendicular is a line that intercepts other line at a 90 degree angle.

Slope of perpendicular lines is the opposite sign and the reciprocal of the other.

So if your slope was 2 the perpendicular line would have a slope of -1/2.

So the equation, 2x + y = 3

Can be rewritten as

y= -2x+3

Perpendicular slope: 1/2

Since it intercepts/ passes the coordinates (5,4) it means that those values are included in the function input x and output y.

y=mx+b

4=1/2(5)+b

Solve for b (y intercept)

4-2.5=b

1.5=b

So the equation of the perpendicular is

y=1/2x+3/2 or y=.5x+1.5

Diego can type 140 words in 4 minutes.

At this rate, how long will it take him to type 385 words?
How many words can he type in 15 minutes?


If you get stuck, consider creating a table.

Answers

I hope you find this useful, Mark as Brainliest please, it's very much appreciated.

Explanation:

In one minute, Diego can type 35 words;140÷4

At this rate, it will take him 11 minutes to type 385 words;385÷35

Therefore, he can type 525 words in 15 minutes; 35×15

Answer:

Hope this helps.

Step-by-step explanation:

1. 385 x 4 = 1540/140

    =11

2. 15/4 = 3.74 x 140

    =525

Please answer this big question nobody ever answers my questions im sad :(

Answers

Answer:

Step-by-step explanation:

1.

3,4,5 will make a triangle.

2.

sum of any sides > third side

difference of any two sides < third side

3+4=7>5

4+5=9>3

5+3=8>4

again

4-3=1<5

5-3=2<4

5-4=1<3

so it makes one triangle.

3.

3,4,8

4.

3+4=7 not >7

again

8-4 =4 not <3

so they do not make a triangle.

Find the area of this triangle.

Answers

Answer:

84 cm²

Step-by-step explanation:

Area triangle = 1/2(b x h)

Area = 1/2(21 x 8)

Area = 1/2(168)

Area = 84

84 cm²

-Chetan K

Classify this number as rational, irrational, or nether: 6

Answers

Answer:

The answer is : Rational

what is the sign of a • (-b/b) when a = 0 and b < 0?

Answers

Answer:

gimmie my points boi

Step-by-step explanation:

eiurfh4iewurhfwo8rho

Please help I would be very grateful

Answers

Let’s see um so first you..

The corporate team-building event will cost $72 if it has 36 attendees. How many attendees can there be, at most, if the budget for the corporate team-building event is $92?

Answers

There will be 46 attendees, 72/36=2 so then 92/2= 46

9. Ramon buys five 3- pound bags of natural parrot food for $8.79 per bag. How much money did he
spend?

Answers

$43.95

Step-by-step explanation:

If each bag costs 8.79 and Ramon bought 5 bags then you would multiply 5×8.79

Answer:

$26.37

Step-by-step explanation:

Ramon bought 3-pound bags of natural parrot food for $8.79 per bag. how much money did he spend?

If Ramon bought 3-pound bags of natural parrot food each is $8.70 per bag

It's time to add!!

8.79 + 8.79 + 8.79=               ANSWER:   $26.37

In Stacking! :)

 8.79

+8.79

 8.79

______

26.37

HOPE THIS HELPS YOU! :)

HELLOOOO can somene help me

Answers

Answer:

I think it`s the second one

Step-by-step explanation:

Answer: The answer is the second choice. Hope this helps!

-
7.5 ft
Find the perimeter of the semicircular region

Answers

To find the prime yet you have to go to math wat

the last digit in a measurement is _______ and is considered _______.

Answers

Step-by-step explanation:

Indicating Precision of Measurements:

Scientists understand that the last digit (and only the last digit) in a measurement is an estimate. By writing 25.45 cm, you indicate that you are sure that the measurement was between 25.4 cm and 25.5 cm, and you estimate that it was about 5/10 of the way between them.Aug 18, 2005

A line has a slope of -2/3 and passes through the point (-3, 8). what is the equation of the line ?

Answers

Answer:

y = -2/3x + 6

Step-by-step explanation:

replace the coordinates in the equation

y= mx + c

y= 8

x= -3

8= -2/3 (-3) + c

c + 2 = 8

c = 8 - 2

c = 6

y= -2/3x + 6

For brainily please help

Answers

Answer:

The largest side is ST

Step-by-step explanation:

It's the largest side because it is opposite to the largest angle

An apple orchard charges a $5 admission fee and $3 for each basket of apples you take home. Write an equation to represent the total cost if your trip to the apple orchard

Answers

Answer:

y = 3x + 5

Step-by-step explanation:

y = total cost

x =  basket of apples

5 = admission fee

y =  cost per basket  + admission fee  

y =  3x + 5

PLZ Hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!The sum of two numbers is 19 and their difference is 7, What are the two numbers?

Answers

Answer:

13 and 6

Step-by-step explanation:

Simplify, then determine which is greater

Answers

Answer:

1) answer is 2x^2 - x + 6

2) answer is 2x^2 + 2x + 2

Step-by-step explanation:

i dont know if this is what you wanted, but i tried to follow the directions as best i could

Answer:

2x2 - 2x + 6 - (-3x)  = 2x2(tiny) + x + 6

or

-(3 - 2x2) + 5 +2x = 2x2(tiny) + 2x +2

Step-by-step explanation:

I don't remember exactly how you find the smallest, sorry...

Using diagonals from a common vertex, how many triangles could be formed from a hexagon?

Answers

A regular hexagon can be dissected into six equilateral triangles by adding a center point

6 cm
5 cm
***

-
Find volume

Answers

30

volume = area x height
volume = 6cm x 5cm
6x5=30
so, the volume of the cylinder would be 30!

Are the triangles congruent?
-yes by SSS

-yes by SAS
-yes by ASA
-yes by AAS
-yes by HL

Answers

Answer:

yes by SAS

it is Side angle Side

Can you find the value of x please?!

Answers

Answer:

32

Step-by-step explanation:

The interior angles of a triangle add up to 180.

Subtract 98 and 50 from 180.

180-(98+50)=32

Step-by-step explanation:

you add all the values and equate them to 180

i need the answer to the bottom question please help !!!!!!!!!!!!!!

Answers

Answer:

y = 9/17 x - 28/17

Step-by-step explanation:

plz tell the solution for this Q​

Answers

Answer:

rational

Step-by-step explanation:

a is the answer

Graph the inequality. x < 2

Answers

Step-by-step explanation:

there u have it, since y is 0, we make a straight line that passes through 2 and shade the numbers that are <2

MARKING BRAINLEIST IF YOU ARE RIGHT!!

Answers

Answer:  1 1/14

Step-by-step explanation: sorry if im wrong

1) a supermarket sells articles during the festival seasons with a 10% discount. find the new price of the following articles.

i) A CFL bulb if the marked price is Rs. 280

ii) A bunion if the marked price is Rs. 650.

iii) A gas cooker if the marked price is Rs. 7500

Answers

Answer:

252, 585, 6750

Step-by-step explanation:

We have to think that the regular price represents 100% and we need 10 of 10% to make an 100%. So if we divide the regular price by 10 will get our 10%.

i) A CFL bulb if the marked price is Rs. 280

10 % of 280 is 280/10 = 28

discounted price is 280 -28 = 252

ii) A bunion if the marked price is Rs. 650.

10 % of 650 is 650/10 = 65

discounted price is 650 -65 = 585

iii) A gas cooker if the marked price is Rs. 7500

10 % of 7500 is 7500/10 = 750

discounted price is 7500 -750 = 6750


Given that BD ~ BC, find m A. 54
B. 57
C. 64
D. 66

Answers

Answer:

b

Step-by-step explanation:

Answer:

B)  57

Step-by-step explanation:

since BD ≅ BC then ∡C = ∡D

6x-9 = 3x + 24

subtract 3x from each side to get:

3x-9 = 24

add 9 to each side to get:

3x = 33

divide each side by 3 to get:

x = 11

substitute 11 into 'x' in 3x + 24 to get:

3(11) + 24 = 33+24 = 57

check:

substitute 11 into 'x' in 6x - 9 to get:

6(11) - 9 = 66 - 9 = 57

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