Find the 6th term of the geometric sequence whose common ratio is
1/3
and whose first term is 5.

Answers

Answer 1

Step-by-step explanation:

geometric sequence means every new term is created by multiplying the previous term by a certain constant (here 1/3).

s1 = 5

s2 = s1 × 1/3 = 5 × 1/3

s3 = s2 × 1/3 = s1 × 1/3 × 1/3 = 5 × 1/9

sn = sn-1 × 1/3 = s1 × (1/3)^(n-1) = 5 × (1/3)^(n-1)

s6 = 5 × (1/3)⁵ = 5 × 1/243 = 5/243


Related Questions

In 2011 online sales were $192 billion and in 2014 they were $243 billion

(a) Find a linear function S that models these data, where S is the sales in billions of dollars and is the year Write S(x) in slope-intercept form
(b) Interpret the slope of the graph of S
(c) Determine when online sales were $226 billion

(a) Write S(x) in slope-intercept form S(x)=

(b) Interpret the slope of the graph of S Choose the correct answer below

A .Sales increased on average by $17 billion/yr B .Sales increased by $17 billion in next 3 years C. Sales decreased an average by $17 billion/y D.Sales decreased by $17 billion in next 3 years

(c) Online sales were 5226 billion in the year ___​

Answers

A) S(x) = 18x + -36005

B) 18

C) 2013

Answer : a) 18x +-36005
b) 18
c) 2013

A banker estimated a customer's worth to be $127,000. The customer was actually worth $120,000.

Find the percent error.


A. 5.5%

B. 5.6%

C. 5.7%

D. 5.8%


Please explain and get 100 points+ Brainlyist

Answers

Answer:

the answer is

5.6 I think

Can someone help me on theses?

Answers

For question 3 it will be. -4,11,-3,3,0,-22

Fluffy the bunny ate 1 4 of a carrot in the morning, and he ate some more at night. By the end of the day, he still had 1 3 of the carrot left to eat. How much of the carrot did Fluffy the bunny eat at night?

Answers

Answer:

She ate 5/12 of carrot hope it's help

Please someone help

Answers

Answer:

E=10.353

Step-by-step explanation:

First plug in all the numbers: 1.960(31.25/[tex]\sqrt{35}[/tex])

solve: E=10.353

For one English test jason correctly answered 22 questions these correct answers gave him a percent score of 50% In total how many questions were on this English test

Answers

There had to of been 40 questions or 50

The base of a triangle is 7 inches more than its height. If the area of the triangle is 39 square inches, find the base and height of the triangle
The height of the triangle is

Answers

Answer:

the height of the triangle is 6 inches and the base is 7 inches greater, or the base is 13 in

Step-by-step explanation:

The general area-of-a-triangle formula is A = (1/2)(base)(height), or  = (1/2)bh.

Here b = h + 7.

Applying the area formula given above:  A = 39 in^2 = (1/2)(h + 7)(h), or

78 in^2 = h^2 + 7h,

Rewriting this, in standard quadratic form, we get h^2 + 7h - 78 = 0

                                                                             -7 ± (49 - 4[1][-78])

Applying the quadratic formula to find h:   h = ----------------------------

                                                                                          2

           -7 ± (49 + 312)        -7 ± 19

or h = ----------------------- = ------------- = {-13, 6}

                      2                       2

Discard the negative 13 root; the height must be a positive quantity.

Thus, the height of the triangle is 6 inches and the base is 7 inches greater, or the base is 13 in

The sum of two numbers is 72 and their difference is 40. Using elimination method

Answers

Answer:

here's what we know:

a + b = 72

a - b = 26

We can use the elimination method to solve this problem:

a + b = 72

a - b = 26

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

2a = 98

Divide both sides by 2:

a = 49

So we now have:

49 + b = 72

and:

49 - b = 26

Subtract 49 from both sides:

b = 23

and

-b = -23 (multiply both sides by -1) → b = 23

Step-by-step explanation:

A researcher claims that 89% of people sleep with a pillow. In a random sample of 1000 people, 825 say that they sleep with a pillow

Answers

So 175 will sleep without a pillow is your answer! plz mark me brainalist

Umm how to do rates

Answers

The definition of a rate in math is, the speed of something being gained in a problem, let's say we have a hot pipe that can full up a pool in 6 hours, our rate would be 1/6 of the pool per hour.

5th-grade math is Very VERY easy If you solve it correctly I WILL MARK it AS BRAINLIST! Also, you will help 100000 of people so plz answer this

Answers

Answer: 6/6 or 1

Step-by-step explanation:

1/3 can be 2/6 when you b=mulitply the numerator and denominator by 2.

4/6 + 4/6 = 6/6 or 1

6/6 or 1 is correct.

4/6 + 1/3 = 2/3 + 1/3 = 1

Simplify the linear expression.
−2x+3(−5x+1)

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's simply the given expression ~

[tex] - 2x + 3( - 5x + 1)[/tex]

[tex] - 2x - 15x + 3[/tex]

[tex] - 17x + 3[/tex]

2
Select the correct answer.
Which equation represents the vertical line passing through (7,-3)?
Α.x= -3
B. y=-3
C.x= 7
D.y=7

Answers

Answer:

x=7

Step-by-step explanation:

because the x equals 7 and then the line would pass through (7,-3)

2/7 converted into a decimal then rounded to 3 decimal places.

Answers

Answer:

0.286

Step-by-step explanation:

The answer is 0.286

Hope this helps

I need help I been here all day trying to solve this I'm good I reading not math ​

Answers

32,760 is the answer!!


A textbook store sold a combined total of 294 physics and psychology textbooks in a week. The number of psychology textbooks sold
was 42 less than the number of physics textbooks sold. How many textbooks of each type were sold?

Answers

Answer:

105 psychology textbooks. 189 physics textbooks.

He are you able to solve these

Answers

Your missing anything to solve , if you intended to put a picture it’s not there

Glve the position of E on this number line. -- 1 Write a fraction for your answer. 昌 口号 Х ?​

Answers

Answer:

3/8

Step-by-step explanation:

-6/5 - (-3/8)
Help please




Answers

Answer:

-0.825

Step-by-step explanation:

Did not know the options so do not know if this is right or not.

Here is ur answer.

- BRAINLIEST answerer

9.
Identify the point corresponding to Q.



A. Q′ (−3, −2)

B. Q′ (−2, −1)

C. Q′ (1, −1)

D. Q′ (−3, 2)

Answers

The answer is d have a good day

Answer:

B. Q′ (−2, −1)

Step-by-step explanation:

I looked at the graph, this is as close as I could get to my answer. I'm so sorry if it is wrong.

i need help friends on my math problem

Answers

Answer:

the answer is a

Henry can run 2.5 miles in 1/4 of an hour if he maintains the same pace how many miles can Henry run in 1 1/2 hours

Answers

Answer:

Since Henry runs 2.5 miles every 15 minutes, he runs 5 miles in 30 minutes, 7.5 miles in 45 minutes, and 10 miles every 60 minutes.

explanation: just trust me

Answer:

60 minutes

Step-by-step explanation:

I hope this would help

Shirley is making a map of Main Street, which runs west to east through town. She used the number line shown, where each unit on the number line represents a block of main street and town hall was placed at zero.

After walking Main Street, she noted the following statements in her notebook. The flower boutique is five blocks west of the pet store. The pet store is four blocks east of the bank. The bank is eight blocks west of the hardware store. The hardware store is three blocks east of the bookstore. The bookstore is two blocks east of town hall.

Shirley also made a note to place an empty store in the opposite location of the bank on the number line.

Where should Shirley plot the empty store?

Answers

Answer:

3

Step-by-step explanation:

bookstore is two blocks east of town hall: 0+2=2

the hardware store is three blocks east of the bookstore: 2+3=5

the bank is eight blocks west of the hardware store: 5-8=-3

place an empty store in the opposite location of the bank: opposite of -3 is 3

A rectangular photograph has an area of 48 square inches. If the width of the photograph is 8 inches less than its height, find the dimensions of the photograph
The height of the photograph is

Answers

Answer:

H= 12, W=4

Step-by-step explanation:

let H = height

let H-8 = width

We know that the area of the rectangle is A = H*W

now we substitute the statements we have made:

H(H-8) = 48

H^2 - 8H - 48 = 0

Simplify:

(H-12)(H+4) = 0

So now we have 2 options H = -4 or H = 12, having a -ve number as height does not make sense so we use 12.

We know that width is H-8 so now we do 12-8 which is 4.

Therefore width is 4 and height is 12.


April took out a $600 loan from the
bank. At the end of 5 years, she pays
back the principal, plus $60 simple
interest. What was the interest rate?

Answers

Answer:

2%

Step-by-step explanation:

Answer:

I don’t know

Step-by-step explanation:

What is the area of a square if the Perimeter is 36 inches and each side is X -1

Answers

Answer:

Area= 100 inches square.

Step-by-step explanation:

4(x-1)=36

4x-4=36

4x=40

x=10

10×10=100

What is the solution to the system graphed?

A. (2,-1)
B.(1,-2)
C.(-1,2)
D.(-2,1)

Answers

Answer:  C.  (-1, 2)

Explanation: The two lines intersect at this point. This point satisfies both equations at the same time.

a number divided by 5 increased by 4

Answers

Answer:

(n/5)+4

Step-by-step explanation:

I think you were asking for the equation?

Answer:

X/5 + 4

Step-by-step explanation:

X is the “number”

Juan is paid a salary of $2400 biweekly. Find Juan's earnings per year. (use only numbers) $

Answers

Bi weekly means getting 26 paychecks per year.
Therefore to find Juan’s earnings, you multiply 26 by $2400
26 x 2400 = $62,400
Juan’s earnings per year is $62,400

Can someone give more explanation

Answers

You just have to underline the word that connects two sentences .

for example: In number 2. Sophia ate a lot. She is still hungry. These are two sentences the word 'yet' connects two sentences. that is called conjunction.

1.= under line so

2.= under line yet

3.= under line but

4.= under line so

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