Sebastian writes the recursive formula f(x+1) = 4f(x) to represent a geometric sequence whose second term is 12.

Which explicit formula can be used to model the same sequence?

f(x) = 12(4)x
f(x) = 3(4)x − 1
f(x) = 4(12)x
f(x) = 4(3)x − 1

Answers

Answer 1

Answer:

B

Step-by-step explanation:

I got u

Answer 2

The explicit formula for the geometric progression is f ( x ) = 3 ( 4 )ˣ⁻¹

What is Geometric Progression?

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the geometric progression be represented as A

Now , the value of A is

f ( x + 1 ) = 4 f ( x )

where the second term is a₂ = 12

Now , the explicit formula is given by

f ( x ) = 3 ( 4 )ˣ⁻¹

when x = 2

f ( 2 ) = 3 ( 4 )²⁻¹

f ( 2 ) = 3 ( 4 )

f ( 2 ) = 12

Hence , the GP is f ( x ) = 3 ( 4 )ˣ⁻¹

To learn more about geometric progression click :

https://brainly.com/question/1522572

#SPJ7


Related Questions

A line and a point ____ intersect

Answers

Answer: does

Step-by-step explanation:

Does...............................

The price of lunch in the school cafeteria was 2.50$ last year this year the price is 2.70$. What is the percent increase

Answers

Answer:

8 percent

Step-by-step explanation:

There is an 8 percent increase, because if you do 20 cents divided by 250 cents, you get 0.08, which is 8 percent. Also to double check, you can do 250 * 1.08. By the way, that is some rip off lunch.

Point B, located at (-5, -8), is rotated 360°. What are the coordinates of point B?
O(-5, -8)
(5,8)
O (5,-8)
0 (-5,8)

Answers

(-5,-8)
The coordinates are still the same because a rotation of 360° is a complete circle, therefore the points remain in the same spot.
Number 1, or A. 360°

Determine the measure of side d in the following diagram. Make sure that your answer is rounded to the nearest tenth.

Answers

Yo bro bro I’m going back on the road right after my car I’m down to

please help using elimination !

7x+2y=24 8x+2y=30

Answers

Answer:

-x=-6

x=6

7(6)+2y=24

42+2y=24

2y=24-42

2y=-18

y=-9

Step-by-step explanation:

Skye needs 50 g of sugar to make 30 biscuits.
She also needs
three times as much flour as sugar
two times as much butter as sugar
Skye is going to make 120 biscuits.
(a) Work out the amount of flour she needs.​

Answers

Answer:600g

Step-by-step explanation: 50x3=150 150x4=600 since 30x4=120

helpppp it’s dueee rnnnn

Answers

Answer:d and a

Step-by-step explanation:

A_________is a set that is contained in a larger set.

Answers

A subset is a set that is contained in a larger set.

In slope-intercept form, the equation of the line with a slope of 7 and a y-intercept of (0, -8) is ________
. Do not include spaces in your answer.

Answers

Answer:

y = 7x - 8

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Slope m = 7

y-intercept b = -8

Step 2: Write Function

Substitute in parts.

y = 7x - 8

What is the total surface area of a cube with an edge on 4 1/2 feet

Answers

Answer:

What is the total surface area of a cube with an edge on 4 1/2 feet... 121.5 feet

Step-by-step explanation:

Surface area = 6 × 4 1/2 × 4 1/2

Surface area = 121.5

Omar ordered his sister a birthday card from a company that randomly selects a card from their inventory. The company has 21 total cards in inventory. 14 of those cards are birthday cards. What is P(not a birthday card)​

Answers

Answer:

P = 7

Step-by-step explanation:

We have 21 total cards and out of those 21 cards, 14 of those are birthday cards. So that means that the amount of cards that are not birthday cards is the number of cards subtracted by the number of birthday cards, also shown as 21 - 14. So 21 - 14 = P, so now we solve what 21 - 14 is which is 7, so that means P = 7.

Let me know if you have any questions.

Help ASAP!! I’m confised and need help. What is angle 1 in the picture called?? Thanks!!

Answers

Answer:

obtuse angle

Step-by-step explanation:

as it is angle 1 is greater than 90

A team has won 51 out of 68 games. Explain how to
use the bar diagram to find the percent of games the
team has won

Answers

Answer:

you would divide -> 51/68  and you would get .75. move the 2 first numbers after the dot to the front and you get 75%

Step-by-step explanation:

Answer:Divide  51/68  and you would get .75. move the 2 first numbers after the dot to the front and you get 75%

Step-by-step explanation:

Jeremy used 5/6 slices of bread throughout the week. If there was 24 slices of bread, how many slices did Jeremy use?

Answers

18

18

18

18 dude the answer is 18

Answer:

18

Step-by-step explanation:

help me out
14 < n - 22​

Answers

Answer:

14+22=36

36 is less than n

Step-by-step explanation:

The answer is you n = 8

Susan reads a book at a rate of 1 page every 3 minutes. If her reading rate remains the same, which method could be used to determine the number of minutes for her to read 18 pages?

Answers

Multiply 3 by 18 and that is... 54 so it would take her 54 minutes to finish 18 pages, so basically the method that could be used is multiplying

The product of 3 and q increased by 7 is equal to the
sum of q and 3. Find q.

Answers

Answer:

-2

Step-by-step explanation:

3q + 7 = q +3

Bring the variables to one side and the numbers to the other

3q - q = 3 -7

2q = -4

q = -2

Hope this helps!

ASAP I WILL GIVE BRAINLIEST

Which statements apply to the expression 5 ?

The answers/options r in the pic​

Answers

Answer:

ok so in my math class I just learned this so sry if I am wrong but so

Answer:

Options 1, 3, 4, 7

Step-by-step explanation:

I'm guessing you meant the expression 3/5^3.

The base would be 3/5 because that is the number that the exponent is raising.

The exponent is 3 because that's the small number above and to the right of 3/5.

The expanded form is 3/5 × 3/5 × 3/5 because there's an exponent of 3. An exponent means you multiply the number by itself, the number of times it's being raised to. The exponent is 3 and 3/5 is being multiplied 3 times.

The solution would be 27/125 because when you multiply fractions, you just multiply straight across. 3 × 3 × 3 is 27 and 5 × 5 × 5 is 125.

I hope this makes sense, it's kinda hard to make it understandable without being able to actually talk to you.

-7z-2=12.
can u please show the work also

Answers

Answer:

z = -2

Step-by-step explanation:

-7z -2 = 12

-7z = 14 (add 2 on both sides)

z = -2 (divide -7 on boths sides)

z = -2

-7z = 12 + 2

-7z = 14

z = -14/7

z = -2

how can equations help you model the relationship between two quantities

Answers

Answer:

I dosent show anything that I should solve

Step-by-step explanation:

   

Help! Will give brainliest!

Answers

Answer:

6 or 5

Step-by-step explanation:

The answer is 6 your welcome

Please help! Find the value of X. Round to the nearest tenth. acellus

Answers

9514 1404 393

Answer:

  38.2°

Step-by-step explanation:

The law of sines tells you ...

  sin(x)/15 = sin(27°)/11

  sin(x) = (15/11)sin(27°) . . . . . multiply by 15

  x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°

  x ≈ 38.2°

_____

Additional comment

In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.

Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.

The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle  (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.

what is 12 more than m

Answers

What? You’ve got a picture or something?

If I have 41 red mechanical pencils and each pencil has 3 pieces of lead in it. How many pieces of lead are there in all

Answers

Answer: There are 123 pieces in total.

Step-by-step explanation: If you have forty-one pencils, and each has three pieces of lead, you multiple forty-one by three.

Total lead = 41 * 3

Total lead = 123 pieces

Need help with math points and brainlest

Answers

Answer:

22.5 cm

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

13.5 / 9 = x / 15

3(x-2)+7=2(x+5)
What is the answer to this please

Answers

Answer:

x=9

Step-by-step explanation:

distribute: 3x-6+7=2x+10

add like terms: 3x+1=2x+10

add the x's and the integers: x=9

pattie spent 3/4 of her allowance on a backpack. If her allowance is $24, how much of her allowance is left after she purchased the backpack?

Answers

Answer:

she has 6 dollars left

Step-by-step explanation:

she spent $18 on the backpack

The table shows the fees to park in a parking lot.
first hour = $1
second hour = $1.50
each additional hour or part of an hour = $2.
How much does it cost to park for 4 1/2 hours?

Answers

Answer:

$7.50

Step-by-step explanation:

4 1/2 hours total

1st hour = $1.00 ;  3 1/2 hrs remaining

2nd hour = $1.50 ;  2 1/2 hrs remaining

after 2 hours you pay $2 per hour so 2.5 x 2 = $5.00

A rectangle has the dimensions 2.3 x 2.1. If I want a rectangle that has the area 16 times the size of the original rectangle, what will be my new dimensions?

Answers

Answer:

Either 36,8 × 2,1 or 2,3 × 33,6

PLZZZZZ HELP IT IS DUE IN 5 MINUTES

Answers

i’m pretty sure it’s D
Other Questions
Which of these elements is not likely to be found in an organic compound? A. carbon B. hydrogen C. nitrogen D. potassium What is the purpose of the Talmud?to state the laws that Jews must followO to explain Jewish lawsO to reveal the word of GodO to tell the history of the Jews How many real solutions does the equation v3x 1 = 21 5 have? helpsjdjdjdjcjcjfjfjfjcjfjfjxjff What are two emotions must be produced in order to be deemed an effective tragedy ? Which place describes a community?A. a desert of sand, rock, hawks, and snakesB. the desertC. a forest birds, insects, and squirrelsD. a hole in which a snake lives Here is a list of numbers 6,7,2,4,6,9,5,3,3 HELPP PLEASE !!!!!! Determine weather 6y+ 13y is equivalent to 9(y+2) Alex and Scott are out at sea on a small fishing boat when a large storm hits. After their boat flips over and sinks during the storm, Alex and Scott struggle to make it back to the shore. Just when they think that things cant get any worse, they see a shark fin circling them.Select the answer belowPerson vs selfPerson vs technologyPerson vs personPerson vs societyPerson vs fatePerson vs naturePerson vs supernatural MAY YOU PLEASE HELP ME Which of the following statements does not describe a physical property of chlorine? O The color of chlorine gas is green. O The density of chlorine gas at standard temperature and pressure is 3.17 g/L. OChlorine combines with sodium to form table salt. O The freezing point of chlorine is -101C. Mr. Green washed 14 of his laundry. His son washed 25 of it. How much of the laundry still needs to be washed?(Need the answer to be in fractions) Pls answer for me btw you are very smart Five friends went to the amusement park and spent a total of $165. Each person had to buy an admission ticket, then each decided tospend $8 on lunch. What was the cost of each admission ticket? Please help me!!!. 12 points! what do we call the words inside the parenthesis in each dialogue mean? 4. Everyone likes to have friends and to be liked by their peers. Think about some people you may know thatgo overboard to be popular or to be liked. Next, think about those who do NOT go out of their way to be likeeveryone else. Now, write to explain what qualities and characteristics make a person willing to choose adifferent direction from the rest of the group. You know 1000 mg = 1g. Convert 2.5 grams into milligrams. What forces are acting on a dropped book that falls to the ground? A Gravity Only B Gravity and Air ResistanceC Air Resistance only D Friction onlyHURRY PLS