What is the next term in the sequence below?

648, 108, 18, 3, . . .

A. 0.5
B. 1.5
C. 1.75
D. 2.5

Answers

Answer 1

Answer:

To get from one term of this sequence to the next, divide by 6.

So, once we get to three, the next term will be 0.5 because 3/6 = 0.5

Let me know if this helps!

Answer 2

The next term or the fifth term of the geometric sequence is 0.5. The option A is the correct option.

What is geometric sequence?

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

It can be given as,

[tex]a_n=ar^{n-1}[/tex]

Here, (a) is the first term of the sequence and (r) is the common ratio.

The sequence given in the problem is,

648,  108,  18,  3,  . . .  and so on.

The common ratio between the two terns is,

[tex]r=\dfrac{648}{108}=6\\r=\dfrac{108}{18}=6\\r=\dfrac{18}{3}=6\\[/tex]\

Thus, the common ratio of the geometric series is 6.

The first term is 648 and the common ratio is 6. Thus the next or fifth term of the sequence is,

[tex]a_5=(648)(\dfrac{1}{6})^{5-1}\\a_5=(648)(\dfrac{1}{6})^{4}\\a_5=0.5[/tex]

Hence, the next term or the fifth term of the geometric sequence is 0.5. The option A is the correct option.

Learn more about the geometric sequence here;

https://brainly.com/question/1509142


Related Questions

A fire truck is responding to an emergency. It accelerates from 0 to 66 km/hr in 11 seconds. What is its rate of acceleration?

Answers

Answer:n 6

Step-by-step explanation:

Divide 66 by 11 and you get 6

Answer: 6 km per second

Step-by-step explanation: Multiply 11 and 6, 66 is the answer

50% of Brady's Halloween candy has been eaten. He has 68 pieces left. How much did he have​

Answers

136 pieces? Because 68 is half of it (50%) and 68 times 2 is 136

Answer:

136

Step-by-step explanation:

Brady has eaten 50% of the original amount.  The final amount is 68.  So think, what 50% of a number is equal to 68?

Let x= original amount

Let n= final amount

n=68

50%= 0.5

0.5(x)= n

Divide both sides by 0.5

x= n/0.5, we know n=68, sub in 68 for n

x= 68/0.5

x= 136

Therefore, Brady had 136 pieces originally.

The balance of a shop owner’s bank account is $6,235.50. If the shop owner earns $430.30 on Monday, spends $3,902.50 on Tuesday, and spends $2,945.80 on Wednesday, what is the new balance of the bank account?

Answers

the answer is -182.5

Answer:

-182.50

Step-by-step explanation:

6,235.50 + 430.30 - 3,902.50 - 2,945.80 = -182.50.

Type the correct number to complete each ratio table

Answers

Answer:

15

Step-by-step explanation:

Jackie would've washed 15 cars, since multiplying 2 x 5 = 10, so you'd have to multiply 3 by 5 to get the amount of cars Jackie washed if Michael washed 10.

Answer:

i think it is 15

Step-by-step explanation:

What is the volume, in cubic inches, of a basketball with a diameter of 9 inches
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b121.5
c324
d972

Answers

Answer:

A 68.34

Step-by-step explanation:

Answer:

The answer is 68.34

Step by step explanation;

Monica deposits ​$200 into a savings account that pays a simple interest rate of 3.3​%. Paul deposits ​$300 into a savings account that pays a simple interest rate of ​2.3%. Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she​ correct? Justify your response. ▼ Monica will earn ​$ nothing in 1 year while Paul will earn ​$ nothing in 1 year.

Answers

She is incorrect because she will earn $6.6 in 1yr while Paul will earn $6.9 in 1yr, now if she deposited more money than Paul into her account then she could’ve earned more

PLZ HELP! Explain answer

Answers

Answer:

D and E

Step-by-step explanation:

Hope This Helps :)

Answer:

D-E

Step-by-step explanation:

D 5.099 when rounding .09 is higher than 4 so it rounds to .10 E when rounding its lower than 5 so the number stays .10

make sence?

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Answers

If all the sides equal(1.2mi and he’s riding on all sides) then he would have to ride his path 6.25 times because 30 divided by 4.8 is 6.25 if he’s only riding on one side then he would ride his path 25 times because 30 divided by 1.2 is 25

Help- i dont understand
Just 10 11 and 12 please!

Answers

10. acute angles: 0
Right angles: 4
Obtuse angles: 0
Perpendicular lines: 0
Parallel lines: 2

11. Acute angles: 2
Right angles: 0
Obtuse angles: 1
Perpendicular lines: 0
Parallel lines: 0

12. H

Hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
HELP ME PLS WITH THESE FIVE QUESTIONS!!!!!!!!!!!

BTW on the first question, I did not mean to put Subtract 4 from 20
ALSO BRAINLIEST FOR WHOEVER ANSWERS THESE QUESTIONS CORRECTLY!

Answers

Answer:

Question 1. Multiply 4 by 2

Question 2 . 85 + 6*7 = 127

Question 3.  24 + 3*5 = 39

Question 4. 16.75 + 32.5*9 =  46

Question 5.  2*0.4^2 + 4*0.4*3 = 5.12 (Im not positive that this one is correct or not but I tried my best)

That person is very smart good job

Which of the following explains how to find the area of the base of the triangular prism?

Answers

Answer:  Option D.

Step-by-step explanation: The formula for a triangular prism is B * h where B = area of base.

Multiply 24 * 10 then divide by 2. 24 * 10 / 2 = 120 = Area for the base of the triangle.

I hope this helped at least just a little bit. :)

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(-4r^3)(-5r^3)=

Answers

Answer:

The answer is 20r6

Step-by-step explanation:

hope this helps! if this is wrong im sorry :(

I’m in not that smart-

You can start job A at $10 an hour with a 10% raise each year for 5 years or job B with no raise but an hourly wage of $17 an hour. At 5 years, which job would you be making more money at? *

Answers

Answer:

At job A you will end up getting more money because $10 plus a raise will give more money.

Answer:

At the end of 5 years at job A you will be making 17.70 an hour and at the end of  years at job B you will be making 17 an hour.

Step-by-step explanation:

what is 3.2 - 5.1n - 3n + 5 simplified

Answers

Answer:

−8.1n+8.2

Step-by-step explanation:

Answer:

8.2-8.1n

Step-by-step explanation:

First of all, lets do the n part. WE have -5.1n-3n which equals -8.1n. Then, we have 3.2+5, which is 8.2. So we have 8.2-8n or -8.1n+8.2

What features do all right triangles have in common? ATwo legs and a hypotenuseincorrect answer BTwo equal sides and two equal anglesincorrect answer CTwo 90-degree anglesincorrect answer DThree sides of equal length

Answers

Yes, you are correct, it's two legs and a hypotenuse. Good luck with the rest.

PLEASE HELP!! WILL MARK BRAINLIEST IF RIGHT!!!!!!! ^0^

Lines k and l are parallel. Lines m and n intersect lines k and l to form 2 triangles.

Given k Is parallel to l, what can you conclude about these triangles? Check all that apply.

1. Vertical angles prove Angle1 Is congruent to Angle4.
2. Alternate exterior angles prove Angle5 Is congruent to Angle3.
3. Angle5 and Angle3 are alternate interior angles.
4. The ratios of the corresponding angles are equivalent.
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Answers

Answer:

I think its 1,3,5

Step-by-step explanation:

I hope its right

Answer:

1,3,5 on edge

Step-by-step explanation:

Dels anyone know this? (Im just starting algebra now

Answers

Answer:

1)3

2)77

3)28

4)11

5)7

6)40

7)108

8)7

Step-by-step explanation:

You just have to find what the variable equals.

All these answers are correct

Answer:

1=3

2=77

3=28

4=11

5=7

6=40

7=108

8=7

Step-by-step explanation:

replace the letters with the numbers it says it equals then do the equation like you would normally.

Marvin wants to find out about how much time seventh-grade students in his school spend on homework each night. Which method is the best one for Marvin to use? Question 1 options: Survey all of the sixth-grade students. Survey all of the students in after-school tutoring. Survey a random sample of seventh-grade students. Survey all of the seventh-grade students who play a sport.

Answers

Answer:

option .survey all the students in after school tutoring

Step-by-step explanation:

if you survey them you will get to know what they do so it will be easier to know how much time they spend on homework at night

Which of these graphs is the solution set for the equation y = -3x - 2
A
B
C
D

Answers

Answer:

That would be A.

Tip:

Ever heard of M a t h w a y? You should use it. You can answer y = -3x - 2 into it, and It'll graph it out for you (if you choose the graph option)

Hope this helps! Have a great Monday!

It would be A the dude before me was right

In a survey, Damian found that 75% of the total number of teenagers surveyed like pop music. If 150 teenagers like pop music, what is the total number of teenagers that Damian surveyed? Show your work.

Answers

Answer:

200 teenagers

Step-by-step explanation:

150÷0.75= 200

checking work:

200•0.75= 150

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75% of x = 150

x=100
——- X 150 = 200
75

I NEED HHELP ASAP STOP SENDING ME LINK

Answers

Answer:

The answer is B

Step-by-step explanation:

hope that helps

i’m pretty sure the answer is B

The composite figures below are made of right prisms.



Note: figures not drawn to scale.

Place the figures in order from least surface area to greatest surface area.

Answers

Answer:

All i know is that figure 3 has the greatest surafe area sorry i could help more

Stelp moreep-by-step explanation:

Suppose you deposited ​$100 in a savings account 2 years ago. The simple interest rate is 2.7%. The interest that you earned in those 2 years is ​$5.40. Which of the following​ is/are true? p=100 r=5.40 i=2.7% t=2

Answers

Answer:

ok if im right mark me branly pleaseeee

Suppose you deposited $100 in a savings account 4 years ago with a simple interest rate of 2.2%.

Principal P= $ 100

Time t = 4 years

rate of interest = 2.2 %

Formula of simple interest

Plugging the value in formula

simple interest =

simple interest =

simple interest = $ 8.8

so the stament is true

Step-by-step explanation:


I agree with the person above

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Answers

Answer:

Circumference = diameter x pi

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Circumference = 62.80

Let me know if this helps!

Mark the person who answered brainliest please

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Answers

Answer:

Step-by-step explanation:

The left goes to the right and the other right goes to the left

whats 84 squared to the nearest 10th?

Answers

Yea the answer is 7056

Brian is shopping for a new jacket for his wife. He finds one on sale for 35% off the original price of $240. What is the sale price? What is the total cost if he pays 8% sales tax on the sale price? PLEASE HELP I HAVE A FEW MINUTES BEFORE MY TIMES UP FOR MY TEST can you show steps please too tysmmm

Answers

Answer:

166.93

Step-by-step explanation:

i looked it up

The answer is 166.93

Megan used a simple interest loan to borrow $300 for college textbooks. The interest rate 7%, and she will pay the money back in 6 months. What is the total amount she will pay back

Answers

Answer:

she will owe $321.00

Step-by-step explanation:

$300 x.07=$21        $300 +$21 = $321

Answer:

$321.00?

Step-by-step explanation:

hope this helps! if this is wrong im sorry :(

What is 1+1?
Show your work and explain how you got there. Make sure to check your work and round your answer to the tenth.
75 point reward.

Answers

1 + 1 equals 2
check:
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1+1=2 if you have 1 pineapple and 1 apple and put them in a basket then you have 2 fruits

Pleaseeeee answer I will mark brainliest for best answer ^>^

Answers

3 batches cus 5.25/1.75=3 :)
B) 3 batches
If you turn both fractions improper and divide them you get three.
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