A sequence is defined recursively by

a1=4

an=34an−1

What is the explicit form of this sequence?

Answers

Answer 1

9514 1404 393

Answer:

  an = 4×34^(n-1)

Step-by-step explanation:

If your recursive definition is ...

  [tex]\begin{cases}a_1=4\\a_{n}=34a_{n-1}\end{cases}[/tex]

this defines a geometric sequence with a first term a1 = 4 and a common ratio of r = 34. The general form of the explicit function is ...

  [tex]a_n=a_1\times r^{n-1}[/tex]

For the values shown here, the explicit definition of the sequence is ...

  [tex]\boxed{a_n=4\times 34^{n-1}}[/tex]


Related Questions

You give an 18% tip for a meal. What expression represents the total cost with tip?

Answers

Answer:

multiply the cost by 0.18 to get the tip amount or multiply the cost by 1.18 to get the total including tip.

Step-by-step explanation:

how do you turn 4.90 into a fraction

Answers

Basically by writing it like 4.90/1 and multiplying the numerator and denominator by 10 for each digit after the decimal point 4.90/1=
4.90 *100
~~~~~~~~~ =490/100
1 * 100
In order to reduce the faction you find the greatest common factor for 490 and 100 .
The factors of 490 are : 1,2,5,7,10,14,35,49,70,98,245,490
The factors of 100 are : 1,2,4,5,10,20,25,50, 100
And the common factor is 10 to reduce the fraction you divide both the numerator and denominator by the gfc value
490 490/10
~~~~=~~~~~~~~ =49/10
100 100/10

The prize of a television was reduced from $250 to $200.
By, what percentage was the price of the telivision
reduced?
F 20%
G 25%
H 80%
J 50%

Answers

Answer: F 20%

Step-by-step explanation:

50 is 20% of 250

I need some help with this

Answers



The following can be deduced from the expressions

m ∠ D = 4 × m ∠ A
m ∠ B = 3 × m ∠ A-12

Please note that the sum of angles in a triangle is 180 degress. Therefore,

M∠ A + m ∠ B + m ∠ D = 180equation(3)

Substitute for equation 1 and 2 in equation 3 as shown below

m ∠ A + 3 × m ∠ A - 12^0 + 4 x m ∠ A =180^0
m ∠ A + 3 × m ∠ A + 4 x m ∠ A = 180^0+12^0
8m ∠ A = 192^0
m ∠ A= 192^0/8
m ∠ A=24^0

Substitute for m∠A= 24 in equation 1 and 2 as shown below

m ∠ D = 4 × m ∠ A
m ∠ D = 4 × 24^0
m ∠ D = 96^0
m ∠ B = 3 × mA - 12^0
m ∠ B = 3 × 24^0 - 12
m ∠ B = 72^0 - 12^0

,

∠= °

∠= °

∠= °

3 (1 2t) = 3t + 5 !!​

Answers

Answer:

2/3

Step-by-step explanation:

3+6t=3t+5

like terms together

6t-3t=5-3

3t=2

t=2/3

(two digit number with the sum of the digits being 8)​

Answers

Answer:

The two digit numbers having sum equal to 8 are: 17,26,35,44,53,62,71,80.

Step-by-step explanation:

review the simple linear graph what is the slope of the simple linear graph of Line c write the slope either as a integer or fraction NO decimals enter your answer in the box​

Answers

Answer:

The answer is 1/4. Hope it helps.

Step-by-step explanation:

I NEED A 100% ACCURATE ANSWER FOR THIS ASAP NO LINKS !!!
Solve the following: 7y−20=3y+12
1: y= 3.2
2: y=8
2: y= -8
4: y= 28

Answers

Answer:

y=8

Step-by-step explanation:

7y-20=3y+12

7y-3y=12+20

4y/4=32/4

y=8

Answer:

7y-3y=12+20

4y=32

y=8

that's it. i don't know why I need 20 max character to submit

If someone tells me the correct answer I’ll give thanks rate 5 and brainless .

Answers

The answer is:
29in

Please please hurry!!!!! Help do as many as u can Sorry its blurry

Answers

Answer:

3. a,c

4. a,c

5. c

6. a

7. y=-9x

8. y=x+9

9. y=x-7,y=x+3

13. y=x+5

14. y=8x-2

15. y=5

Step-by-step explanation:

Sry for late response

Step-by-step explanation:

3. all three equations are in the form of

[tex]y = mx + b[/tex]

where m is the slope and b is the y intercept.

A and X both have a y intercept of 1 so A and C is the answer.

4. A megative slope is included by a negative sign so A and C is the answer.

5. The linear parent function is the identity function which is

[tex]y = x[/tex]

6. Since our points share the same y coordinate, our slope will be a horinzontal line which indicates a slope of zero.

7. The sleepest line has the greatest absolute value slope which is y=-9x.

8. The fattest has the smallest absolute value slope which is y=x+9.

9.The first and second one are parallel because they have the same slope

13.The second one does.

14. 8x+10 is greater slope than 5x.

15. y=5 because it has no y intercept

PLEASE IF YOUR A MATH EXPERT ANSWER THIS I'M LOSING MY SANITY
What is the value of 7m−3n when m = 3 and n = 2?
A: 5
B: 15
C: 24
D: 36

Answers

Answer:

B: 15

Step-by-step explanation:

To answer this question, simply plug in the values according to each variable. So, because m = 3, plug the m next to 7 with 3, so then that means that 7 is now multiplied by 3. Then, plug in 2 into n because n = 2, so 3 is being multiplied to n. This is what we get:

7(3) - 3(2)

Now, multiply!

21 - 6

Finally, solve:

21 - 6 = 15

Therefore, the answer is:

B: 15

Hope this helps :)

ANSWER: B

Explanation: First you plug in the values that are given m=3 and n=2

7(3) - 3(2)=

So then you multiple and it would be

21-6=

Then you subtract

21-6=15

There for the answer is B: 15




AB= 10.2 cm and Bc= 3.7 cm find the length of AC

Answers

Answer:

3.2333

Step-by-step explanation:

Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus $6 for each hour of work. Her total fee for a 4 hour job, for instance, is $32.

Let y represent Carolina's fee (in dollars) for a single job that took x hours for her to complete.

Complete the equation for the relationship between the fee and number of hours.

y=______

Answers

Answer:

y=6x+8

Step-by-step explanation

correct on khan ;)

What percent of the students in
applied majors are majoring in
electronics, industrial design, or civil engineering?

Answers

electronics- 40%
industrial design- 20%
civil engineering- 100%
not sure but best of luck :)

mr candy man is making bags of candy to reward students in his class. a blue bag contains 7 pieces of candy while a red bag contains 13 pieces of candy. if he has 106 pieces of candy and wants to use them all how many red bags can he make?
(I need help with this asap)

Answers

The answer is 8.1jjjjjjjjjjjjjjjjjjjj

HELPPP ASAPPPPPPP !!!!!!

Answers

Answer:

ok so it would be square root 2

Step-by-step explanation:ok so it would be square root 2

ok so it would be square root 2

ok so it would be square root 2

ok so it would be square root 2

ok so it would be square root 2

ok so it would be square root 2

ok so it would be square root 2

What’s three-and-two-fifths times three-and-one-fourth?

Answers

Answer:

Answer is 221/20

Step-by-step explanation:

if we solve 3 2/5 × 3 1/4

then we will get 221/20.

pls help
its hw pls help
ill try to make brainiest

Answers

1 = t=8. 2= x=8. 3. M= 7/5. 4. Y= 2/3. The last one might be wrong sorry it’s hard to see.

Answer:

1. 8. 2. 8. 3.  7/5. 4. 2/3.

Step-by-step explanation:

As you can see you just need to cross multiplication and use distirbitive property

Please give brainiest

Karen paints her house in 10 1/2 days working 7 1/2 hours per day. How long would it take Karen to do the job if she worked 9 hours a day?

Answers

Answer:

8. 75 days

Step-by-step explanation:

You work for 10.5 days 7.5 hrs each day painting the house = it takes 78.75 hours to paint the house.

If you work 9 hours a day: 78.75/9 = 8.75 days

If she does the same job for 9 hours. Then the number of days will be 8.75 days.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Karen paints her house in ten and a half days, working seven and a half hours every day.

If she does the same job for 9 hours. Then the number of days is given as,

D x 9 = 10.5 x 7.5

9D = 78.75

D = 78.75 / 9

D = 8.75 days

If she does the same job for 9 hours. Then the number of days will be 8.75 days.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of
0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the
probability of obtaining a reading greater than 2.011'C.
P(Z > 2.011)
ery

Answers

Answer:

0 degree

Step-by-step explanation:

you know all the time the answer of the probality is 0 rarely any other dijit

This question has been answered, thank you so much for trying to help ^^

Answers

Ok, but don't spend so much of points it will create a shortages of point for u only, if point will get less then you will not able to ask question anymore.

Got it ^_^

I will ask this question based on the above pic. So I'm picking up a question for this.

Anyways thanks for giving away 26 points to me :))

I'm also asking a question with that amount of points. OK

Needs to show work.
Find the X intercept and the Y intercept for 2x-6y=12

Answers

Answer:

x: (6,0)

y: (0,-2)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y intercept, substitute in  0  for  x  and solve for  y .

Ex -

X : 2x -6(0)=12

2x=12

2 cancels out with 2

12/2 = 6

Y: 2(0 )- 6y =12

-6y=12

negative 6 times negative 6 cancels

12/-6 = -2

Answer:

See Below

Step-by-step explanation:

Given: 2x-6y=12

Plug 0 in the equation for y:

y is zero

2x-6(0)=12

2x=12

The x-intercept:  (6,0)

Plug 0 in the equation for x:

x is zero

2(0)-6y=12

−6y=12

The y-intercept:  (0,−2)

Calvina Miller makes a car payment of $214.50 every month. Her car
loan is for 5 years. How much will she pay in 5 years?

Answers

12,870 is the answer

-c: infinitely many solutions, Help solve plss

Answers

i think it’s b cos u minus 43 and your left with 48x and 47x so divide by 47 and you get 1 point something x = to x so yeah probably none because no number will make that work so it’s b

Find last year's salary if, after a 4% pay raise, this year's salary is $33,800.

Answers

Answer:

1352

Step-by-step explanation:

4% of 33,800 is 1352  last years salary  was 32448

Keith plays basketball at a gym. He can get a $20 membership card and pay $2 for every visit, or he can go any time and just pay $5 for each visit. Which two equations represent the two options for his
number of visits with his total ccost?

Answers

The two equations that can be used to represent his number of visits with his total cost will be 20 + 2x and 5x.

Let the number of visits be represented by x.

Since Keith can get a $20 membership card and pay $2 for every visit, or he can go any time and just pay $5 for each visit, then the equation to represent the information will be:

20 + (2 × x) = (5 × x)

20 + 2x = 5x

Therefore, the equations will be 20 + 2x and 5x.

Read related link on:

https://brainly.com/question/25306375

Your friend identifies the terms and like terms in the expression
3x - 5 - 2x + 9x
is your friend correct?
explain your reasoning :

Answers

Answer:

The like-terms equation would be:

10x - 5

Step-by-step explanation:

Simplify.
- 2x - } – 5x + i + x
-
х
-
17/3
-
3
+
10
х
Enter your answer in the box.
Do not use decimals in your answer.

Answers

Answer:

I'dont think it's 77 or not right

Given info:-

Evaluate:

[(1⅕ - 2/5).(-3/5)³]÷(-9)

⇛[6/5 - 2/5).(3³/5³)]÷(-9)

Take the LCM 5 & 5 is 5.

⇛[(6-2 /5). (3*3*3/5*5*5)]÷(-9)

⇛[(4/5).(27/125)]÷(-9)

⇛[4/5 × 27/125)]÷(-9)

⇛[(4*27)/(5*125)]÷(-9)

⇛[20/625] ÷ (-9)

⇛[20/625] ÷ 1/9

⇛20/625 × 9/1

⇛(20*9)/(625*1)

⇛180/625

Now, reduce the fraction by extracting and cancaling out with 5.

⇛36/125 or 0.228 Ans.

Hope this helps!

The purchase price of a camcorder is ​$648. What is the total price if the sales tax rate is 6.5​%?

Answers

$648 * 1.065 = $690.12

need help on homework plz and thank u :)

Answers

Answer: Its b  

Step-by-step explanalson

becaues x always equals 7 in a factor

:)

Answer:

it is the second answer.

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