What is the recursive rule for this geometric sequence?

2, 1/2, 1/8, 1/32

Enter your answers in the boxes.

an= __ *an-1

a1=__

Answers

Answer 1

Answer:

an = 1/4 * an-1

a1 = 2

Step-by-step explanation:

2, 1/2, 1/8, 1/32

To find the common ratio, take the second term and divide by the first term

1/2 ÷ 2

1/2 * 1/2

1/4

The common ratio is 1/4

1/2 * 1/4 = 1/8  and 1/8 *1/4 = 1/32

The first term is a1 so a1 = 2

an = the common ratio * an-1

an = 1/4 * an-1

Answer 2

Answer:

Below.

Step-by-step explanation:

The common ratio = 1/2 / 2 =  1/2 * 1/2 = 1/4.

Also 1/8 / 1/2 =2/8 = 1/4 and 1/32 / 1/8 = 1/32 * 8 = 1/4

an = 1/4 * an-1 is the answer.


Related Questions

x-5y=16 , 4x-2y=-8 solve using elimination method

Answers

Answer:

x = -4

y = -4

Step-by-step explanation:

L1     x - 5y = 16

L2  4x - 2y = -8

4*L1 - L2

4x - 20y = 64

-4x + 2y  =    8

-----------------------

      -18y = 72

          y = 72 / -18

          y = -4

x - 5y = 16

x = 16 + 5y

x = 16 + 5(-4)

x = 16 - 20

x = -4

What is it okzzzzzzzzzzzzZ

Answers

Answer:

2

Step-by-step explanation:

the coefficient is the number in front of the variable (the number being multiplied by the variable).

co-efficient of x⁴in 2x⁴-3x³-x²+5x+6 is 2

I wish this was free ✋

Answers

Answer: It is tho ?

Step-by-step explanation:

Determine whether or not the given value is a solution. 1. -5x + 4 = -1; x = -1 2.4x3 = -7; x = -1 3. 3y -4 = 5; y = // 4.-2y + 7 = 12; y = -1/2 5.3a-6 = 18 - a; a = -3 6. 5(2t - 1) = 2 = t; t = 2 7. ax = b = 0; x = b/a 8. ax + b = 2b; x = b/a​

Answers

#1

[tex]\\ \sf\hookrightarrow -5x+4=-1[/tex]

[tex]\\ \sf\hookrightarrow -5x=-5[/tex]

[tex]\\ \sf\hookrightarrow x=1[/tex]

Incorrect

#2

[tex]\\ \sf\hookrightarrow 4x-3=-7[/tex]

[tex]\\ \sf\hookrightarrow 4x=-4[/tex]

[tex]\\ \sf\hookrightarrow x=-1[/tex]

Correct

#3

[tex]\\ \sf\hookrightarrow 3y-4=5[/tex]

[tex]\\ \sf\hookrightarrow 3y=9[/tex]

[tex]\\ \sf\hookrightarrow y=3[/tex]

Ans not given

#4

[tex]\\ \sf\hookrightarrow -2y+7=12[/tex]

[tex]\\ \sf\hookrightarrow -2y=5[/tex]

[tex]\\ \sf\hookrightarrow y=-5/2[/tex]

Incorrect

#5

[tex]\\ \sf\hookrightarrow 3a-6=18-a[/tex]

[tex]\\ \sf\hookrightarrow 4a=24[/tex]

[tex]\\ \sf\hookrightarrow a=6[/tex]

Incorrect

#6

[tex]\\ \sf\hookrightarrow 5(2t-1)=2[/tex]

[tex]\\ \sf\hookrightarrow 10t=7[/tex]

[tex]\\ \sf\hookrightarrow t=7/10[/tex]

Incorrect

#7

[tex]\\ \sf\hookrightarrow ax-b=0[/tex]

[tex]\\ \sf\hookrightarrow x=\dfrac{b}{a}[/tex]

Correct

Done

what is the answer
-1/2n^2+18=0

n= ___ ​

Answers

Answer:

n  =  6 ,  − 6

Step-by-step explanation:

Take the root of both sides and solve.

[tex]-\cfrac{1}{2}n^2+18=0\implies 18=\cfrac{1}{2}n^2\implies 18=\cfrac{n^2}{2}\implies 36=n^2 \\\\\\ \stackrel{\textit{taking }\sqrt{~~}\textit{ to both sides}}{\pm\sqrt{36}=\sqrt{n^2}}\implies \pm 6 = n[/tex]

Mandy spins a biased spinner 3 times. The probability that the spinner will land on blue on all 3 spins is 27/512 Calculate the probability that when the spinner is spun 3 times it does not land on blue on any of the spins​

Answers

Answer:

0.158203125

i think

A family of 6 used 5400l of water in 7 days. Each member of the family used the same amount of water each day. How many litres of water did each person use in a day?

Answers

Answer:

Hello! The answer for this is 900 liters a day

Step-by-step explanation:

Look at the sheet for answer.

Omar needs at least $8 to buy lunch. Which number line represents this scenario?

Answers

Answer:

I'd say none, as we're missing something in this problem. Make sure you've included everything to solve this problem. Thanks.

What is one five eights plus one two eights?

Answers

Answer:

5/8

Step-by-step explanation:

Answer: I think it's 2 7/8 lemme know if i'm wrong

Step-by-step explanation:

After a storm damages the community center, Shanika and her friends hold fundraising events to help pay for repairs. After the first event, they raise $240, which is 10% of the total amount that they want to raise

Answers

Answer:

Step-by-step explanation:

The total they want to raise is $2,400 if that is what you're asking?

Write an equation of each sentence. Use n to represent the unknown number. You can use the back page for your solution. (2 points each) 11. Six increased by a number is twenty. 12. A number decreased by seven is four. 13. The sum of two consecutive numbers is thirty-one. 14. The sum of twice a number and two is thirteen. 15. One less than a number is eighteen. 16. The square of a number increased by four is twice the number. 17. Twice a number is one-half. 18. The product of a number and its half is eighteen. 19. The average of a number and ninety is seventy. 20. Two more than a number is twelve.

PLEASE HELP Me​

Answers

Answer:11. 6 + n = 2012. n - 7 = 2013. n + n + 1 = 3114. 2n + 2 = 1315. n - 1 = 18 16. n² + 4 = 2x17. 2n = 1/218. n²/2 = 1819. n/2 + 90/2 = 7020. 2 + n = 12

Hoped this helped.

[tex]-BrainaicUser1357-[/tex]

Let the number be x

#11

[tex]\\ \sf\longmapsto x+6=20[/tex]

#12

[tex]\\ \sf\longmapsto x-7=4[/tex]

#13

[tex]\\ \sf\longmapsto x(x+1)=31[/tex]

#14

[tex]\\ \sf\longmapsto 2x+2=13[/tex]

#15

[tex]\\ \sf\longmapsto x-1=18[/tex]

#16

[tex]\\ \sf\longmapsto x^2+4=17[/tex]

#17

[tex]\\ \sf\longmapsto x^2/2=18[/tex]

#18

[tex]\\ \sf\longmapsto x+90/2=70[/tex]

add r to s, double the result, then multiply what you have by t

Answers

Answer:

(rs2) x t

Step-by-step explanation:

r+s=rs

rsx2=rs2

(rs2)xt

Answer:

2t(s+r)

Step-by-step explanation:

Add r to s

s+r

Double the result

2(s+r)

Multiply what you have by t

2t(s+r)

Put the following capacities in order from smallest to largest. 0.1 l 0.5 l 1000 ml 10 ml 15 cl

Answers

Answer:

  10 ml, 0.1 l, 15 cl, 0.5 l, 1000 ml

Step-by-step explanation:

m is an SI prefix for milli-, meaning 1/1000.

c is an SI prefix for centi-, meaning 1/100.

Expressed in liters, these volumes are ...

  0.10 l

  0.50 l

  1000/1000 l = 1.00 l

  10/1000 l = 0.01 l

  15/100 l = 0.15 l

In order from smallest to largest, they are ...

  0.01 l, 0.10 l, 0.15 l, 0.50 l, 1.00 l

In the original units, the order is ...

  10 ml, 0.1 l, 15 cl, 0.5 l, 1000 ml

Which fractions are equivalent to the fraction below. 20/32

Answers

Answer:

5/8

Step-by-step explanation:

The answer is 5/8 because 4*5 equals 20 and 4*8 equals 32. Therefore, you have to do the same thing you do to the numerator to the denominator. In addition, you I divided 20 by 4 which is 5 and 32 divided by 4 is 8. So, it is 5/8.

3. Chris rode his bike along the same route every day for 60 days. He logged that he had gone exactly 127.8 miles.How many miles did he bike over the course of two weeks​

Answers

Step-by-step explanation:

2wks = 24 days

If he spent 60days going 127.8 miles

He will spend 14 days going X miles

60/14 =127.8/X cross multiply

60X= 14×127.8

X=( 14×127.8)÷60

X= 29.82 miles

8. The exact lengths of the segments
connecting corresponding vertices
are:
BK = 2.2 units KB' = 2.2 units
AJ = 5.6 units JA' = 5.6 units
CL = 3.8 units LC' = 3.8 units
Which segments have equal
lengths?
no segments
all segments
corresponding segments

Answers

Answer:

corresponding segments

Step-by-step explanation:

BK = KB'

AJ - JA'

CL = LC'

Need some help in this please

Answers

Answer:

∠GHD is 85°

Step-by-step explanation:

180°-95°

85°

help please

No links

Answers

Answer:

62-0.75x8

Step-by-step explanation

$6=discount

8 tickets

Total=62.00

0.75 multiplied by 8= 6

62-6=56

56 is before the discount

Equation would be 62-0.75x8

If a trench is 102’-6” long by 5’-4” wide and 3’-3” deep, what is the volume of the soil that was removed per cubic feet?

Answers

Considering that the trench is modeled by a rectangular prism, the volume that was removed is 1776 cubic feet.

The volume of a rectangular prism of length l, width w and height h is given by:

[tex]V = lwh[/tex]

In this problem, we want the measures in feet, and considering that 1 feet is 12 inches:

The length is of 102' 6''(102 feet and 6 inches), hence [tex]l = 102.5[/tex].The width is of 5' 4'', hence [tex]w = 5.33[/tex].The depth(height) is of 3' 3'', hence [tex]h = 3.25[/tex].

Then:

[tex]V = lwh = 102.5(5.33)(3.25) = 1776[/tex]

The volume that was removed is 1776 cubic feet.

To learn more about the volume of rectangular prisms, you can take a look at https://brainly.com/question/17223528

Find the inverse of the function.
f(x) = x^3 - 3

Answers

Answer:[tex]f{(x)} = {x}^{3} - 3 \\ y = {x}^{3} - 3 \\ x = {y}^{3} - 3 \\ x + 3 = {y}^{3} \\ \sqrt[3]{x + 3} = y \\ {f(x)}^{ - 1} = \sqrt[3]{x + 3} [/tex]

Pls help as soon as possible thank you

Answers

Answer:

answer is b

Step-by-step explanation:

6x+10

6*-3+10=-8

4x+4

4*-3+4=-8

Darla scored 18 points in her last basketball game, shooting only 2- and 3-point shots. If she made 7 total

Answers

Answer:

3 2-pt shots, 4 3-pt shots

Step-by-step explanation:

2x + 3y = 18

x + y = 7, so x = 7 - y

Substitute in for x

2(7 - y) + 3y = 18

14 - 2y + 3y = 18

14 + y = 18

y = 4

Now put 4 in for y to solve for x

2x + 3(4) = 18

2x + 12 = 18

2x = 6

x = 3

How do you write 2/5 as a percentage

Answers

Answer:

40%

Step-by-step explanation:

To convert a decimal to a fraction, multiply it to 100

[tex]\frac{2}{5} \times 100[/tex]

[tex]=\frac{2}{5} \times \frac{100}{1}[/tex]

[tex]=\frac{2\times100}{5\times1}[/tex]

[tex]=\frac{200}{5}[/tex]

[tex]=40[/tex]

Therefore, [tex]\frac{2}{5}[/tex] is 40%

Step-by-step explanation:

Explanation:

To get 25 as a percent, we need the denominator to be 100 .

Now that we have a denominator equal to 100 , just look at the numerator and that's your percent.

40%

.40.

.4 or 0.4.

Brandon just got a job at a restaurant. He worked 7 hours and got paid $63. He earns the same amount each hour. How much did Brandon make each hour. In complete Sentence

Answers

Answer:

Brandon will make 9 dollars an hour while he works at the resturant

Step-by-step explanation:

63/7=9

Hi!

If he got paid $63 an hour, and he worked 7 hours, we just have to simply divide 63 by 7.

7 goes into 63 nine times, therefore he makes $9 per hour.

Hope this helps and let me know if you need any other help! :D

Potatoes are sold at $3.30 per 55 kg bag.
(a) Calculate the cost per kilogram.

(b) How much will 12 kg cost?

Answers

(a) $0.06 per kilogram
(b) $0.72 per 12 kg bag

Determine if the two triangles are congruent. If they are, state how you know

Answers

Yes they’re congruent as they have exactly the same angles and sides

20x^5 y^3 + 8x^6 y^3 - 4x^5 y^2
———————————————
4x^5 y^2

Answers

Answer:

1) 4x^{5} y^{2} (5y+2xy-1)

2) Implied to have no solution based on given context.

Step-by-step explanation:

Problem 1:

1) Find the Greatest Common Factor (GCF).

[tex]GCF=4x^{5} y^{2}[/tex]

2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

[tex]4x^{5}y^{2} (\frac{20x^{5} y^{3} }{4x^{5}y^{2} } +\frac{8x^{6}y^{3} }{4x^{5} y^{2} } +\frac{-4x^{5} y^{2} }{4x^{5} y^{2} } )[/tex]

3) Simplify each term in parentheses.

[tex]4x^{5} y^{2} (5y+2xy-1)[/tex]

Problem 2:

From the way the problem is given, there is no solution.

Part 1: Nouns
Directions: Write the plural form of each noun.
1. child
2. friend
3. baby
4. lunch
5. bike

Answers

Children

Friends

Babies

Lunches

Bikes

For a project in her Geometry class, Makayla uses a mirror on the ground to measure the height of her school building. She walks a distance of 13.75 meters from the school, then places a mirror on flat on the ground, marked with an X at the center. She then steps 1.2 meters to the other side of the mirror, until she can see the top of the school clearly marked in the X. Her partner measures the distance from her eyes to the ground to be 1.35 meters. How tall is the school? Round your answer to the nearest hundredth of a meter.

Answers

Answer: The answer is 19.04 meters.

Explanation: The explanation is in the image.

Please help!! Best answer gets brainliest<3

Answers

X= 25.65 + 16.5 - 12.45
X= 29.70
Other Questions
After a storm damages the community center, Shanika and her friends hold fundraising events to help pay for repairs. After the first event, they raise $240, which is 10% of the total amount that they want to raise please help and show workx= HELP!!!!Which of the following has the smallest electron affinity? b CaC Lid Nae Mg Paid Rs.4,500 to Anita after deducting 10% discount. Brandon just got a job at a restaurant. He worked 7 hours and got paid $63. He earns the same amount each hour. How much did Brandon make each hour. In complete Sentence Pls help as soon as possible thank you Find the y-intercept of the line: x + 4y + 8 = 0 The area of a square root is 2.25m2. what is the length of each side of the square?Show work pls, thank you. how did information technology bring about crisis for the intellectual property 3. Chris rode his bike along the same route every day for 60 days. He logged that he had gone exactly 127.8 miles.How many miles did he bike over the course of two weeks My Skates!We live on a lake. Todaytested(person)the ice.it's frozen! Now I am(exclamation)off tomy skates.(verb)(verb)in thenot there. I look in the(place), nope not there. I search(place)high and low for my ice(noun)Ok so the one place I havn't looked,(verb)mythey are there!(exclamation)Let's go skating!(noun) x-5y=16 , 4x-2y=-8 solve using elimination method FIND THE VERBSWe ___________ (has paid/have paid) him the money.I _________ (have bought/has bought) my sister a watch._________ (Show/Shows) me your hands.You _________ (has made/have made) your shirt dirty.We _________ (are waiting/is waiting) for Rohan.These books _________ (belong/belongs) to me.She _________ (want/wants) to go.We _________ (will like/would like) to visit the museum.He _________ (has finished/have finished) talking.My brother _________ (enjoy/enjoys) playing cricket. 23.Find the next three terms of the arithmetic sequence. 19, 24, 29, 34, ... 3x+4=7-2x Solve this equation for x with steps Find the missing parts of the triangle. Round to thenearest tenth when necessary or to the nearest minuteas appropriate.1) C = 105.8a = 4.7 kmb = 8.3 kmA) No triangle satisfies the givenconditions.B) c = 16.4 km, A = 23.2, B = 51C) c = 13.5 km, A = 27.2, B = 47D) c = 10.6 km, A = 25.2, B = 49 Can someone pls help me Hello! Sorry for asking again!!Here is my social science/history question!How did Muslims advance in Astronomy?50 points + brainilest!! Who is the antagonist in "The Ambitious Guest" by Nathaniel Hawthorne and why? Is the antagonist a round, flat, or stock character? define photography