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What would be the first five terms of sequence whose first term is 1 and has a common ratio of 1/3?

Answers

Answer 1

Answer:

Step-by-step explanation:

This is a geometric sequence; we know that because of the words "common ratio."  The general formula for a geometric sequence is

a(n) = a(1)*r^(n - 1), where r is the common ratio.

Here, a(1) = 1, r = 1/3, and so

a(1) = 1 (given)

a(2) = 1/3 (this is a(1) multiplied by 1/3)

a(3) = 1/9 (this is a(2) multiplied by 1/3)

a(4) = 1/27

a(5) = 1/81


Related Questions

how do you write f(x)=2x² -8x+6 in factored form ?

Answers

Answer:

Step-by-step explanation:

[ x^3  + x^2 ]  + [ x^2  -  5x  - 6  ]  =

x^2 ( x + 1) +  (x + 1) ( x - 6)  =

(x + 1)  ( x^2  + x  - 6)  =

( x + 1) ( x + 3) ( x - 2)

Maybe this?

pls help
When you multiply a fraction by a whole number, you can use the property to regroup factors to make it easier to multiply since the product
remains true. 3/4 * 7= 7 * 3/4.*
A. Communitive Property
B. Associative Property
C. Distributive Property

Answers

Don’t go to that link it’s wrong don’t go on there

PLEASE HELP
I will give brainliest to right answer

Answers

Answer:

I'm pretty sure it is D because they're not super close to the line they're more spread out but I'm not rly sure

A good guess is D, I think it is though

A spinner has 3 equal sections that are purple, green, and blue. What is the probability of not landing on blue?

Answers

Answer:

P(not landing on blue section)=2/3

Step-by-step explanation:

Not landing on blue section = landing on one of the other sections

the remaining sections are 2 each one has a P=1/3

2 × 1/3 = 2/3

Answer:

66%

Step-by-step explanation:

2 divided by 3= 0.666666666 which is then converted to percent (66%)

Gibson (1986) asked a sample of college students to complete a self-esteem scale on which the midpoint of the scale was the score 108. He found that the average self-esteem score for this sample was 135.2, well above the actual midpoint of the scale. Given that the standard deviation of self-esteem scores was 28.15, what would the z score be for a person whose self-esteem score was 101.6

Answers

Answer:

The z-score for a person whose self-esteem score was 101.6 would be of -0.227.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Gibson (1986) asked a sample of college students to complete a self-esteem scale on which the midpoint of the scale was the score 108.

This means that [tex]\mu = 108[/tex]

The standard deviation of self-esteem scores was 28.15

This means that [tex]\sigma = 28.15[/tex]

What would the z score be for a person whose self-esteem score was 101.6

This is Z when X = 101.6. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{101.6 - 108}{28.15}[/tex]

[tex]Z = -0.227[/tex]

The z-score for a person whose self-esteem score was 101.6 would be of -0.227.

Consider the exponential function of f(x) =10(2)x. Find the value of f (0). What point does this represent on the graph of y=f (x)? Is this an increasing or decresasing function? How can you tell based on its equation.

Answers

Answer:

la respuesta que buscas es bastante simple pero no lo sé

Step-by-step explanation:

name the property that justifies each statement -3(m+8)=-3m-24

Answers

Answer: Distributive Property

Explanation: The distributive property tells us that if we're given an expression such as -3(m + 8), we can multiply the -3 by both the m and the 8.

Yes it is Distributive property.

A company makes 140 bags.
37 of the bags have buttons but no zips.
38 of the bags have zips but no buttons.
38 of the bags have neither zips nor buttons.
How many bags have zips on them?

Answers

38 of the bags have zips but no buttons

Malik purchased a pair of roller blades that were originally priced at $250 for a sale price of
$180. He charged the roller blades on his credit card and made the minimum monthly
payment of $20. When he received his first statement, he read that the minimum finance
charge for each month that there was a balance on the card would be $15. How many
months will Malik need to pay off the roller blades? (Assume that a minimum finance
charge of $15 will apply to all balances of $250 or less.)

Answers

Answer:f he made a first payment of $20 shortly after the purchase, he would have a balance of $180-$20=$160, before they applied the first $15 finance charge, but he will see a balance of $180-$20+$15=$175 (with the finance charge) in that first statement.

Each month, his balance will change by -$20+$15=-$5, so it will take him, another 32 payments to reduce that $160 to $0. That month, he will pay the $20 balance to get a balance of zero, and hopefully see no more finance charges.

In all, paying the minimum $20 payment each month, Malik will make 33 such payments for a total of $660. If he saved $20 per month, he could have saved $180 in 9 months, or $260 in 13 months, and he would have saved a lot of money. He would probably have to pay the $250 regular price, and would have missed about a year of roller blading, but he would have saved $660-250=$410.

Step-by-step explanation:

help me please thanks​

Answers

Answer:

325m = c

Step-by-step explanation:

Each meeting room has 325 chairs.

Since we don't know how many meeting rooms there are, the number is replaced with the variable, m.

An equation is a problem with an equals sign so you need to put what it would equal.

Since you don't know how many meeting rooms there are you use the variable, c which represents the total number of chairs.

Eight adults are surveyed and asked how many credit cards they possess. Their responses are 4, 0, 3, 1, 5, 2, 2, and 3. Complete the table below.
x
x Overbar
x minus x Overbar
(x minus x Overbar) squared
4
2.5

0
2.5

3
2.5

1
2.5

5
2.5

2
2.5

2
2.5

3
2.5


Using the formula for standard deviation
Sigma = StartRoot StartFraction Sigma-summation (x minus x Overbar) squared Over n EndFraction EndRoot
find the standard deviation for the data in the table.
a. StartRoot 0 EndRoot
b. 0
c. 2.25 almost-equals 1.5
d. 2.25

Answers

Answer:

the answer is c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Use a half-angle formula to find the exact value of the expression.

Answers

Step-by-step explanation:

The answer is

[tex] \sqrt{2} - 1[/tex]

If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything.

I can help you solve what you want in mathematics in exchange for some money. If you want to, you can inform me about it and I will help you.

HELP WILL GIVE BRAINLIEST IF CORRECT

Answers

C. 1 only because csc x is the only one that has asymptotes at npi

Graph the line with slope
4/3
and y-intercept -9.



Answers

The graph is shown in the attached image.

The graph of the line is a straight line with points on are: (0, -9), (3, -5) and (6, -1).

Given that a line has a slope of 4/3 and the y-intercept is -9, we need to graph the line,

To graph the line with a slope of 4/3 and a y-intercept of -9, we can use the slope-intercept form of a linear equation, which is y = mx + b.

Here, the slope (m) is 4/3, and the y-intercept (b) is -9.

Start by plotting the y-intercept, which is the point (0, -9).

Next, use the slope to determine the direction of the line. The slope 4/3 means that for every 4 units you move up, you need to move 3 units to the right.

So, from the y-intercept (0, -9), move up 4 units and then move to the right 3 units to find the next point on the line. This point would be (3, -5).

Repeat this process to find more points on the line. Move up 4 units and to the right 3 units from the previous point (3, -5) to get (6, -1).

You can continue this process to find more points if desired.

Once you have a few points, connect them with a straight line to graph the line.

The graph of the line with a slope of 4/3 and a y-intercept of -9 is attached in the solution.

Learn more about Linear equations click;

https://brainly.com/question/29111179

#SPJ4

pls hurry i don’t need a explanation just a answer

Answers

Answer:

Surface area of the triangular prism = 368 m²

Step-by-step explanation:

Surface area of the triangular prism = Area of the triangular bases + Area of the lateral sides

Area of the triangular base = [tex]\frac{1}{2}(\text{Bases})(\text{Height})[/tex]

                                             = [tex]\frac{1}{2}(12)(8)[/tex]

                                             = 48 m²

Area of the lateral sides = (Perimeter of the base) × Height

                                        = (10 + 10 + 12)×10

                                        = 320 m²

Surface area of the triangular prism = 320 + 48

                                                            = 368 m²

Therefore, surface area of the triangular prism = 368 m²

Which choice is more than 12 but less than 13?
A-√170
B-√150
C-√144
D-√140

Answers

The answer would be b) -√150 because the square root is 12.247.... which is less than 13 but more than 12

Ahmed multiplies 8 by 1.15. Which number he is trying to find?​

Answers

Answer:

9.2

Step-by-step explanation:

8×1.15 = 9.2

I think..

Question:

Ahmed multiplies 8 by 1.15. Which number is he trying to find?

______________________________________________

Solution:

On multiplying 8 by 1.15, we get,

= 8 * 1.15

= 1¹ . 1⁴ 5

* 8

9 . 2 0

To the power 1 and 4 show that 1 and 4 carried over.

Hence the number he is trying to find is 9.20 or 9.2.

find the ratio 3600sec is to 2hours​

Answers

Answer:

30:1

Step-by-step explanation:

A square sandbox has sides that are 10 feet long. What is the sandbox's area?

Answers

Answer:

0.0929

Step-by-step explanation:

thats the answer

can someone teach me how this goes? geometry , inscribed angles but circles

Answers

Answer:

60

Step-by-step explanation:

So basically all you need to know for this one is that when there is an inscribed angle, the angle measure is 1/2 of the measure of the arc for that angle.

That might sound confusing, but an example from the picture is that angle ABC will be half of arc AC. This means that angle ABC is 1/2 of 120 = 60 degrees.

The answer is 60 degrees.

Can someone help please

Answers

Answer:right scalene

Step-by-step explanation:

Question 16
4 Points
Using the formula 1 = PRT, find I when P = 3634, R = 6% and T = 7. Round your answer to the nearest penny. Enter only the value
without the $.
Round your answer to 2 decimal places.
Add your answer

Answers

Answer: $1526.28

I = (3634)(0.06)(7)
I = 1526.28

When using percents, make sure to divide it by 100 and use that (0.06 instead of 6 in this problem)

don’t send links; PLEASE HELP FAST I WILL DO ANYTHING, I’LL GIVE U 2K ON BLOXBURG

Answers

Answer:

i think its 90

Step-by-step explanation:

you would multiply the right box which is 2 x 3 ( i got 3 because its half of 6 which is at the top) then you would multiply the left box which is 3 x 5

2 x 3 = 6

3 x 5 = 15

15 x 6 = 90

i dont need the 2k on bloxburg

if its right could i get brainliest?

The length of a rectangle is 12 miles less than twice the width. The perimeter of the rectangle is 96 miles. Find the dimensions of the rectangle.

Answers

Answer:

Length= 68 miles

Width=28 miles.

Step-by-step explanation:

Length=2x+12

Width=x

2x+12+x=96

3x+12=96

3x=96-12

3x=84

X=28

Width=28

Length=(2×28)+12=68

HELP FAST!! please help me i need help really bad thank you i will give u the brainly answer

Answers

Answer:

B.

Step-by-step explanation:

2.4% = 0.024

Answer:

B

Step-by-step explanation:

PLS HELP!! :))

Find the surface area of a sphere with a diameter of 8 ft. Round your answer to the
nearest tenth.

Answers

The formula is A= 4(pi)r*squared* 201.06

A study is conducted to determine how long a person will wait on hold on a telephone call before hanging up. A sample of 1000 people found that 569 hung up the phone in the first minute of waiting. It is of interest to estimate a range of plausible values for the true proportion of people that will not wait more than one minute on hold. Round all answers to three decimal places.(a) Construct a two-sided 95% confidence interval for p, the true proportion of people that will not wait on hold more than one minute. This confidence interval is ______

Answers

Answer:

CI = ( 0,539 ; 0,599)

Step-by-step explanation:

The proportion p₀ of person that hung up the phone in the first minute of waiting is:

p₀ = 569/1000         p₀ = 0,569       p₀  =  56,9 %

Then q₀  = 1 - 0,569                          q₀  = 0,431       q₀ = 43,1 %

Sample size is  n = 1000

A 95 % CI  is:     α  = 5 %    α = 0,05      a/2 = 0,025

In z-table we look  z ( score ) for  0,025      z  = ± 1,96

Now CI for proportion is:

p₀ - z (α/2) * √ (p₀*q₀ )/n   < p < p₀ + z (α/2) * √ (p₀*q₀ )/n

we need to find out

z(α/2) * √ (p₀*q₀ )/n   =   1,96*√ ( 0,569*0,431)/1000 = 1,96 *0,01566 =0,03

Then

CI ( 95%) =  0,569 ± 0,03  =  ( 0,569 - 0,03 ;  0,569 + 0,03)

CI = ( 0,539 ; 0,599)

Determine if the triangle are similarity side-side-side similarity

Answers

Yes, it is.
Triangle DES 42:14:21
Triangle KNR 27:9:13.5

42:27=1.55
14:9=1.55
21:13.5=1.55

PLZ HELP ME DO THIS ITS DUE RN

Answers

Answer:

least to greatest: -5 and 1

Step-by-step explanation:

they represent the zeroes of the function and are sorted from least to greatest

what the total area of a rectangular prism with a hight of 17feet a width of 12 feet and a thickness of 10 feet ?​

Answers

Answer:

[tex]A=988\ \text{feet}^2[/tex]

Step-by-step explanation:

Given that,

The height, width and the thickness of a rectangular prism are 17 feet, 12 feet and 10 feet.

We need to find the area of a rectangular prism. The formula for the ara of rectangular prism is given by :

[tex]A=2(lb+bh+hl)[/tex]

Substitute all the values,

[tex]A=2(17\times 12+12\times 10+10\times 17)\\\\A=2\times 494\\\\A=988\ \text{feet}^2[/tex]

So, the area of the rectangular prism is equal to [tex]988\ \text{feet}^2[/tex].

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Roberto has $200 in spending money. He wants to buy some video games that cost $25.50 each. Write and solve an inequality to find the number ofgames, g, that Roberto can buy.Inequality (use g as your variable):Roberto can buy up tovideo games. Estimate 12% of 77? What is the density of a substance of volume 3 m3and mass 9 kg? How much 9% saline solution should be mixed with 80 Cc of a 17% saline solution to produce a 13% saline solution? !!!! Choose the correct form of the verb to complete these statements. 1.Julien __ de sa petite soeur A. s'est occupe B. s'est occupe2. Moi, sylvie, je __ tard. A. me suis couche B. me suis couche3. Jacques et moi, nous __ pour une comptition A. nous sommes prpars B. nous sommes prpares4. Carole __ les cheveuxA. s'est lav B. s'est lave The payment of FUTA would include 39/8 as a decimal... I've forgotten how to turn fractions into decimals What rule allows local prosecutors to charge Keith with first-degree murder? If you were the prosecutor, discuss why you think you'd be successful prosecuting using this rule. The graphs below have the same shape. What is the equation of the bluegraph?5f(x) = xWNag(x) = 2g(x) = -O A. g(x) = (x - 4)2 + 1O B. g(x) = (x+4)2 - 1O c. g(x) = (x - 4)2 - 1O D. g(x) = (x+4)2 + 1 Which led to the formation of oceans after water on Earths surface evaporated? guys can u give me any fake story how are heat, temperature, and thermal energy related? In 2002, heavy rains caused drivers to slow down at the Texas Motor Speedway. This resulted in the slowest race ever in the history of the track. The winning car took 52.5 seconds to travel one lap around the track, which is 2,414 meters long. Calculate What was the speed of the winning car? Calculate How much time will it take a race car to do a lap if it is traveling at a speed of 90.0 m/s? Which expressions represent the statement three minus the product of seven and four? Mark all that apply. A 3 - (7 x 4) B (7 x 4) - 3 C 3 - (4 / 7) D 3 - (4 x 7) E (7 x 4) - 3 PLZZZ HELP WHAT IS THE AREA OF THIS TRAPEZOID?!?!?! 3. How many particles are present in 13.4 moles of carbon dioxide?8.07. 1024 particles04.49. 1022 particles6.02. 1024 particles6.02. 1023 particles which nutritional needs do vegetarians lack Write an explicit formula for an, the nth term of the sequence 35, 38, 41, ... Suppose you were writing a summary of how an earthquake happens. Which of these should not be included in this summary? A- Two of the earths tectonic plates get caught B- Force builds up at the fault line between tectonic plates C- The fault line is the crack between the plates D- The plates break free from each other, and the force is released. 1-Es sinnimo de tranquilidad absoluta, un ambiente quieto donde no hay problemas ni preocupaciones.JusticiaDemocraciaConvivencia Paz