What is the fifth term of the geometric sequence whose first three terms are 486, 162, and 54?

a. 2
b. 3
c. 4.5
d. 6
e. 9

Answers

Answer 1

Answer:

6

Step-by-step explanation:

an = ar^(n-1)

a = first term

n = nth term

r = common ratio

r = r2 / r1 = r3 / r2

The first 3 terms are :

486, 162, and 54

Hence,

a = 486

r = 162 / 486 = 1/3

Hence ;

a5 = 486(1/3)^5 - 1

a5 = 486(1/3)^4

a5 = 486(1 / 81)

a5 = 486 * 1 / 81

a5 = 486 / 81

a5 = 6

The 5th term of the geometric progression will be ; 6


Related Questions

You spend 150 minutes in three classes. Write and solve a proportion to find how many minutes you spend in five classes.

Answers

Answer:

250 minutes

Step-by-step explanation:

I'm going to word it in a more complicated way so that you can already have this knowledge for future times...

3t = 150

150 ÷ 3 = 50

t × 5 = 250

Ratio of dolls to teddy bears is 6:5. If the has 240 dolls how many teddy bears are there?

Answers

Answer:
There will be 200 teddy bears.

Explanation:
Please check the picture attached!

I hope this helps!
Answer:
200 Teddy Bears

Explanation:
6 x 40 = 240
5 x 40 = 200

Need help ASAP 25 points

Answers

Answer:

B and F

Step-by-step explanation:

(6-11)^2 =

6/11 x 6/11

6^2/11^2

36/121

The answers are B, E and F

GCF And LCM of 24, 36, 45

Answers

Answer:

Step-by-step explanation:

First lets prime factorize each number

24 = 2 x 2 x 2 x 3

36 = 2 x 2 x 3 x 3

45 = 3 x 3 x 5

GCF = 3    (3 is the only common prime number factor in the 3 numbers)

LCM = 2 x 2 x 2 x 3 x 3 x 5

        = 24 x 3 x 5

        = 72 x 5

        = 360

Happy to help :)

Evaluate the equation.

196b = 450.8

Answers

Answer:

b = 2.3

Step-by-step explanation:

450.8 / 196 = 2.3

Answer:

B=2.3

Step-by-step explanation:

196b÷196=450.8÷196

please awnser use images for question

Answers

Answer:

coordinate points

Step-by-step explanation:

variables: a symbol for a value we don't know yet. ex: x or y

numbers: I hope you know what they are cuz i dunno how to describe it ex: 2

coordinate points: a set of numbers that show position on a graph ex: (2,4)

operations: adding, subtracting, multiplying, dividing

48 is 32% of what number?

Answers

Answer:

150

Step-by-step explanation:

Because I looked it up

multiply 17.243 * 0.95 ​

Answers

Answer:

16.38085

Step-by-step explanation:

Answer:

the answer is:   16.38085

Step-by-step explanation:

i have a good calculator

Find the distance between the points (-3,- 2.2) and (-3,2.6).
Plz explain I want to see if I got it right.​

Answers

Answer:

d = 4.8 units

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

d = [tex]\sqrt{(x_{2} -x_{1} )^2 + (y_{2} -y_{1} )^2}[/tex]

~~~~~~~~~~~

( - 3, 2.6 )

( - 3, - 2.2 )

d = [tex]\sqrt{(-3+3)^2 +(-2.2-2.6)^2 }[/tex] = √(- 4.8)² = 4.8 units

What is 2 divided by 3/4

Answers

Answer:

1/2

Step-by-step explanation:

2 /  (3/4) = 1/2 * 3/4

             = 3/6

              = 1/2

Answer:2.6 with the 6 repeating

or 2.66666666667

Step-by-step explanation:

i am fast with a calculator.

Sarah's soccer team won 68% of the games they played. If they won 17 games, how many did they did they play?

Answers

Answer:

25

Step-by-step explanation:

Compare the data and get the answer

Answer:

25

Step-by-step explanation:

Determine if the following conditional statement is true or false,
alf B is between A and C, then AB + BC = AC
b.ITB is between A and C, then AB = BC,

c. If AB = BC, then B is a midpoint,

Answers

Answer:AlF3

Step-by-step explanation:

help y'all i need it badly

Answers

Answer:

In other words, the slope of the line tells us the rate of change of y relative to x. If the slope is 2, then y is changing twice as fast as x; if the slope is 1/2, then y is changing half as fast as x, and so on.

Step-by-step explanation:

Hope this helps

A plane is flying from city A to city B, which is 70 miles away. After flying 25 miles, the pilot realizes they were 15 ∘ off course .

How far is the plane from city B when the pilot realized the error?

about 74.4 miles

about 21.8 miles

about 46.3 miles

about 84.94 miles

Answers

I thank its 46.3 because 70-25 and the 5

For every pound a company spends on advertising, it spends 43 pence on its website. Express
the amount spent on advertising to its website as a ratio in its simplest form.

Answers

Answer:

43:100

Step-by-step explanation:

this is the simplest form

Answer:

The answer is 100:43

Step-by-step explanation:


Joe takes 6 hours to water the plants in his garden. When Joe works with his brother Jack, they take 4 hours
to water the plants in the garden. How long (in hour) would it take jack alone to water the plants in the
garden? ​

Answers

Answer:

2hours

Step-by-step explanation:

x-2y= 1 3x -6y =3 solve this by using the substitution method

Answers

Answer:

im pretty sure its infinite solutions

Step-by-step explanation:

I need help ASAP plz help

Answers

Answer:

8:4

7:3

Step-by-step explanation:

p=10-2.5c, find p when c = 3.2

Answers

Answer:

P=2

Step-by-step explanation:

10-2.5(3.2)=P

By order of operations you would multiply 2.5 and 3.2 together giving you 8.

You would then subtract 10-8 giving you 2.

Answer: P=2 I think

Explanation

4x+20 3x
determine the value of x

Answers

Step-by-step explanation:

[tex]4x + 20 = 3x \\ x = - 20[/tex]

-20 is the right answer.


Which statement about 4 + 2x is true?

Answers

Answer:

What statements, the statements aren't listed in the question?

Step-by-step explanation:

What did the priests do for the community? a. taught religion c. held mass b. had Indians put on plays d. all of the above Please select the best answer from the choices provided A B C D

Answers

Answer:

I'm pretty sure it's A but I could be wrong

Step-by-step explanation:

PLEASE HELP ME!!!! PLEASE PLEASE!!! 40 POINTS a rectangular toy box has a length of x + 1 feet a width of 2x - 5 feet if the volume is 90 cubic feet what are the dimensions of the toy box

Answers

Answer:

the dimensions of the toy box:

Step-by-step explanation:

x+1=2x

2x-5

90

like terms;

- crossing over becomes + and vice versa

soo 2x-2x +90-5

2x^2 cancels it self out leaving 90-5

=85.

A cookie recipe that yields 48 cookies calls for 2 cups of flour. How much flour would be needed for a cookie recipe that yields 144 cookies? help asap!!!!! :(

Answers

Answer: 6 cups

Step-by-step explanation:

You need to find a unit rate...

48/2= 1 cup for 24 cookies (unit rate)

144/24=6 so you need to multiply 1 and 24 each by 6

1*6=6

24*6

to get...

6 cups for 144 cookies

Determine the x- and y- intercepts for the graph equation y = -8

a. x-intercept is (0, -8) No y-intercept
b. No x-intercept y-intercept is (0, -8)
c. x-intercept is ( x8, 0) NO y-intercept
d. NO x-intercept is ( -8,0)

Please select the best answer from the choices prov​

Answers

Answer:

b. No x-intercept y-intercept is (0, -8)

Answer:b

Step-by-step explanation:

Find the average price of homes in the county you selected and use that as population mean prices to state a hypothesis about the data. Note that you already have a sample mean of your area, Use this to set up a hypothesis test. Develop a summary of the five-step hypothesis testing model.

Answers

Answer:

hello your question has some missing part attached below is the missing part

Average Price of home in my county= $580,400 Mean=640069.371428571 stand error=   20175.166257334

The Sample mean that already have = $ 640,069 Stand. Dev.=119357.893215687 count= 35 Variance: 14246306672.8874

Critical t= confidence=95% sign= 5%

2.05183052

Answer :

First step : Confidence interval

Second step : Hypothesis test

Third step : perform a Test statistic

Fourth step : Reject null hypothesis

Fifth step : conclusion

Step-by-step explanation:

First step : Confidence interval

attached below

confidence interval ; ( 599068.13, 681069.87 )

Second step : Hypothesis test

attached below

Critical values of t = ± 2.032 ( from table )

Third step : perform a Test statistic

attached below

hence t = 2.958

Fourth step : Reject null hypothesis

we will reject null hypothesis because calculated value of t = 2.958 > critical value ( t = 2.032 )

Fifth step : conclusion

Provided data supports claim that average price of home in my area is the same as average price of home in the entire country .

I GIVEEEEE BRAIMLILSTER

Answers

Answer:

[tex]\boxed{\boxed{\pink{\bf \leadsto It \ will \ take \ 5 hours \ to \ travel \ 300 \ miles. }}}[/tex]

Step-by-step explanation:

According to Question , a plane travels 120 miles in 2 hours. So here we will use unitary method .

[tex]\bf\implies If \ it \ covers \ 120 \ miles \ in \ 2 \ hours \\\\\bf\implies Then \ one \ mile \ will \ be \ covered \ in \ \dfrac{120}{2} hrs \\\\\bf\implies Hence \ 300 \ miles \ will \ be \ covered \ in \ \dfrac{2}{120}\times 300 hrs = \red{5 \ hours } [/tex]

Hence it will cover 300 miles in 5 hours .

Here it was a case of direct proportion in which if two things are directly proportional to each other. If one thing thing increases then the value of second also increases. Here if the time increases then the distance also increases

Is the result statistically significant? Explain your answer.What does a mean difference of zero between the two groups indicate?

Answers

Answer:

Statistically significant means a result is unlikely due to chance. The p-value is the probability of obtaining the difference we saw from a sample (or a larger one) if there really isn't a difference for all users

Answer:

 The p-value is the probability of obtaining the difference we saw from a sample (or a larger one) if there really isn't a difference for all users

5-x=3
Work out the value of 3x^2

Answers

Answer:

12

Step-by-step explanation:

[tex]5 - x = 3 \\ \\ 5 - 3 = x \\ \\ 2 = x \\ \\ x = 2 \\ \\ 3 {x}^{2} = 3 {(2)}^{2} = 3 \times 4 = 12[/tex]

PLS HELP
Rita's cat, Pickle, spends 40 percent of his day napping. How many hours does Pickle spend asleep each day?

Answers

he spends 9.6 hours sleeping each day! plz mark me the brainliest!

I’m pretty sure it’s 9.6 hours :)
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