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

can anyone help me with this asap. thank you in advance.​

Answers

use the perimeter formula

P=2l+2w

P=2(3x+2)+2(x+4)

P=6x+4+2x+8

P=8x+12

Function or non functional???

Answers

Answer:

The relation is a function.

Step-by-step explanation:

In the given relation, {(A, 8), (B, 8), (D, 5), (F, 5), (G, 8)}:

A relation is a function for which none of the ordered pairs have the same first component and different second components.  

In the given relation:

The first component comprises of: {A, B, D, F, G}. The second component comprises of: {8, 8, 5, 5, 8}.

The given relation represents a function since none of the first components  have the same corresponding second components.  In other words, there are no repeating values of A, B, D, F, and G. Each of these values has its own corresponding second component.  

Therefore, the relation, {(A, 8), (B, 8), (D, 5), (F, 5), (G, 8)} is a function.

3. 13.2 -0.006

How would you show the work

Answers

Answer:

13.194

Step-by-step explanation:

  13.2

-   0.006

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

Just add zeros on the part where there are no numbers

  13.200

-    0.006

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

    13.194

Help pls ASAP plssss

Answers

Answer:

y=2x-1

Step-by-step explanation:

The y-intercept is -1

The slope is 2

let p be the number of primes less than 100, and let Q be the number of primes less than 90. What is the value of P-Q?

Answers

The value of P - Q as described in the question above is; P -Q = 2.

According to the question;

P = number of primes less than 100Q = number of primes less than 90

Since, we are required to determine what the value of P-Q is;

The value of P-Q is simply the number of primes between 90 and 100.

The prime numbers between 90 and 100 are; 91 and 97.

Therefore, P - Q = 2.

Read more;

https://brainly.com/question/22257959

Which equations shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 34-5=-2N+ 10? Select two options Ox= 5 0 -15 = -5x 0 5x = 15 0 -15 = 5x Ox = -5

Answers

Answer:

-15 = -5x

5x = 15

Step-by-step explanation:

I need the answers to thisssss?

Answers

Answer:

Step-by-step explanation:

A. Zero Slope: since it is horizontal

B. Positive Slope: since it goes up and to the right

C. Undefined Slope: since it is vertical

D. Negative Slope: since it goes down and to the left

4/7 into decimal??? Then rounded to 3 decimal places??

Answers

Answer:

0.571

Step-by-step explanation:

:)

How many ? yards = 6 miles

Answers

[tex]6 \: miles⟹10560 \: yards[/tex]

Answer:

6 miles = 10560 yards

Step-by-step explanation:

To calculate a mile value to the corresponding value in yard, just multiply the quantity in mile by 1760 (the conversion factor). Here is the formula:

Value in yards = value in mile × 1760

Suppose you want to convert 6 mile into yards. Using the conversion formula above, you will get:

Value in yard = 6 × 1760 = 10560 yards

2. which of the following shows the cube of a binomial?​

Answers

Answer:

Socratic app

Step-by-step explanation:

it will help you

For every 3 boys in the class, there are 4 girls. How many boys are in the class if there 24 girls in all?

Answers

18 I believe because 4x6 is 24. So you do 6x3 which equals 18.

Which graph represents the solutions to x > ?

Answers

Answer:

D because all the values are greater than the point and do not include the point

Answer:

The Answer Is D

Step-by-step explanation:

Work out the length x. 14cm, 7cm , right angle triangle

Answers

The given triangle is a right angled triangle. So we can use the pythagorean theorem to solve this.

Hypotenuse = 14 cm

Altitude = 7 cm

Base = x cm

Using pythagorean theorem,

Hypotenuse² = Base² + Altitude²

14² = x² + 7²

14² - 7² = x²

196 - 49 = x²

147 = x²

√147 = x

12.124 = x (approx.)

_________

Hope it helps ⚜

what is it called when a constant and variable are combined (math)​

Answers

Answer:

a 'term'

Step-by-step explanation:

3r means the constant 3 multiplied by the variable 'r'

Alina thinks that the first step in solving the equation shown below could
be to use the subtraction property of equality. Olivia thinks that the multiplication
property of equality could be used first. Who is correct?

Answers

Answer:

H

Step-by-step explanation:

Both.

However, multiplication is a good deal more awkward and anytime things are awkward, there's room for errors. However the question is what to do, not which is better.

The answer is both.

Please help I do not really know what I’m doing if you could give an example of that would be good too but if not that’s OK

Answers

Answer:

the dot would be shaded in and from -6 go to the left

Step-by-step explanation:

Se construye cubo de madera de qué tiene 26 m de aristas y se debe cubrir todo el cubo con plástico cuántos metros cuadrados de plástico se necesitará

Answers

Answer:

i tink its a

Step-by-step explanation:

one added to the square root of the sum of a number and one is equal to four. find the number​

Answers

[tex]\stackrel{\textit{one added to the }\sqrt{\qquad }}{1+\sqrt{\quad }}~~,~~ \stackrel{\sqrt{~~}\textit{ of a number and one}}{\sqrt{x+1}}\implies 1+\sqrt{x+1}\stackrel{\textit{equals}}{=}4 \\\\\\ \sqrt{x+1}=3\implies \left( \sqrt{x+1} \right)^2=3^2\implies x+1=9\implies \boxed{x=8}[/tex]

Amelia had 22 sea shells. Then, she collected 9 more sea shells. After that, she gave S sea shells to her little sister. Which of the following shows how many sea shells she has currently?

Answers

Answer:

22 + 9 - S

Step-by-Step Explanation:

Amelia started with 22 seashells and found 9 more so you add that together then since she gave S amount of seashells away to her sister you minus it.

If the area of a rectangle is 12[tex]b^{7}[/tex]b[tex]b^{4}[/tex] and the width of the rectangle is 4[tex]a^{2}[/tex][tex]b^{2}[/tex] , what is the length of the rectangle?

Answers

[tex]\text{Given that,}\\\\\text{Area} = 12 b^7 b b^4 =12 b^{12}\\\\\text{Width} = 4a^2 b^2\\\\\text{Now,}\\\\\text{Length} \times \text{Width} =\text{Area} \\\\\implies \text{Length} = \dfrac{\text{Area}}{\text{Width}}=\dfrac{12b^{12}}{4a^2 b^2} = \dfrac{3b^{10}}{a^2}[/tex]

Triangle MAF has sides lengths 223, 258 , and 276. Find the measure of the largest angle. a) 68.72degrees b) 69.56degrees c)66.98degrees d) 70.45degrees

Answers

Answer:

Step-by-step explanation:

The largest angle will be opposite the longest side.

Use law of cosines

276² = 223² + 258² - 2(223)(258)cosθ

θ = 69.596009... = 69.60°

Which is closest to answer b)

Sequences

3, 7, 11, 15, ____, _____
4, 8, 16, 32, ____, _____
9, 16, 25, 36, ____, _____
256, 64, 16, 4, ____, _____
50, 45, 34, 26, ____, _____

Answers

    [] 3, 7, 11, 15, 19, 23

4 is being added

    [] 4, 8, 16, 32, 64, 128

They are being multipled by 2

    [] 9, 16, 25, 36, 49, 64

It is increasing the addition by 2s, first one is adding 7, then 9, then 11, etc

    [] 256, 64, 16, 4, 1, 1/4

It is being divided by 4

    [] 50, 45, 34, 26, ____, _____

I am currently unsure on this one, if I figure it out I will edit my answer to reflect that!

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

4. Prove by mathematical induction that n² +n < 2" whenever n is an integer greater than 4.

Answers

Step-by-step explanation:

n² + n < 2^n

so, let's see what happens, when I increase n by 1

(n+1)² + n + 1 < 2^(n+1) = 2×2^n

n² + 2n + 1 + n + 1 < 2×2^n

n² + 3n + 2 < 2×2^n = 2^n + 2^n

so, we added on the left and on the right side of the inequality sign compared to the original relation :

2n + 2 vs. 2^n

so, once the original relation becomes true (and we see by trying that for n = 1, 2, 3 and 4 it is not, but for n = 5 it becomes true), the next integer follows the original inequality plus the expressions mentioned above.

n² + n + (2n + 2) < 2^n + (2^n)

this inequality will remain true, if

2n + 2 <= 2^n

n + 1 <= 2^(n-1), which is true for n > 2 (and therefore also n > 4), because the "power of" function 2^n progresses much faster than a simple n+1

and therefore this relation remains true for any larger n.

The manager of a children's puppet theatre has determined that the number of adult
tickets he sells for a Saturday afternoon show is a random variable with a mean of 28.3
tickets and a standard deviation of 5.3 tickets. The mean number of children's tickets he
sells is 42.5, with a standard deviation of 8.1.
(a) The adult tickets sell for $10. Let A = the money he collects from adult tickets on a
random Saturday. What are the mean and standard deviation of A?

Answers

Applying statistical concepts of multiplication of a variable by a constant, it is found that the mean of A is of $283, while the standard deviation is of $53.

When a constant is multiplied to each data in a variable:  

The mean is multiplied by this constant. The standard deviation is multiplied by this constant.

In this question, the variable has mean 28.3 and standard deviation of 5.3, and is multiplied by 10, hence:

[tex]28.3(10) = 283[/tex]

[tex]5.3(10) = 53[/tex]

The mean of A is of $283, while the standard deviation is of $53.

A similar problem is given at https://brainly.com/question/25639778

The work of a student to solve the equation 3(2x - 4) = 8 + 2x + 6

Answers

Answer:

false

Step-by-step explanation:

3(2×−4)=8+2×+6

Multiply 3 and 2 to get 6.

6(−4)=8+2×6

Multiply 6 and −4 to get −24.

−24=8+2×6

Multiply 2 and 6 to get 12.

−24=8+12

Add 8 and 12 to get 20.

−24=20

Compare −24 and 20.

It is predicted that the value of a home will decrease by a rate of 4.6% annually due to a recent recession. Today, the value of the home is $185,000. What is the predicted value of the home in 6 years?

Answers

Answer:

$139 463.95

Step-by-step explanation:

100% - 4.6% = 95.4%

95.4% ÷ 100 = 0.954

0.954 --> decimal multiplier

$185 000 × 0.954^6 = $139 463.95

Hope this helps! <3

What is the probability that a positive integer not exceeding 100 selected at random is divisible by 3

Answers

Answer:

33/100

Step-by-step explanation:

E = 99/3

p = E/S = 33/100

whay are the fourth and fifth number on the sequence 1,4,27.?..,..?..46656

Answers

Answer:

256, 3125

Step-by-step explanation:

This may be the sequence n^n:  1^1, 2^2, 3^3, 4^4, 5^5, 6^6, ...

Let's check with the numbers we see:

1^1 = 1

2^2 = 4

3^3 = 27

6^6 = 46656

Yes, this is the sequence n^n.

The 4th term is:

4^4 = 256

The 5th term is:

5^5 = 3125

[f-g] (3) for f(x)=4x+3 and g(x)=8/x+2 step by step!

Answers

Answer:

10.4

Step-by-step explanation:

x=3⇒f(3)= 4×3+3=15

x=3⇒g(3)=8/3+2≈4.6

f(3)-g(3)=15-4.6=10.4

Please help me Asp please really fast

Answers

X = 20 is the correct answer
Other Questions
A job title can affect the salary of an office support worker.TrueFalse )Check out the areas of low pressure on the weather map. Which of these is NOT characteristic of low pressure areas?A) Storms are likelyB) Weather is cooler and drier.Weather is wetter and warmer.D) Air is less dense and the formation of clouds more likely. If the voltage across a 5-F capacitor is 2*e^-3 V find the current and the power based on what you know about organizational development what considerations may laura be alluding to Complete the table of values for this equation: y = 3x +10 Enter your answer by filling in the boxes. x y 4 5 6 dna is synthesized through a process known as _____. PLZ help I need to answer quickly! Is 1/3 greater than, less than, or equal to 1? as a student how can you inspire your fellow student about the importance of being responsible in attending in online class rich, publish suffix and prefix No linksEnglish/Choose the CORRECT way to use quotation marks.A. The physicist Albert Einstein said in his early age, Subtle is the Lord, but malicious He is not.orB. The physicist Albert Einstein said in his early age, Subtle is the Lord, but malicious He is not. The area of a rectangle is 60 square inches.The length is x - 3, and the width is x +8.Find the value of x, and the dimensions of the rectangle.A = lw Select the Ordered Pair which is a solution to the linear graph.(8, 6)(8,6)(8, 6)Review the linear graph. Directions:Read the list of types of exercise. Decide which component of fitness category each type of exercise belongs in. Type or drag the exercise into the appropriate column. 1 point for each exercise/activity Solve for r.4r3r=20r= Identify the ways that the Belgian colonial government justified and enforced their preferential treatment of Tutsi over Hutu in Rwanda. If girls are ashemed of having facial hair...shouldn't they just shave their eyebrows Please help Ill give brainylist in return thank you 11. The key to description isO A. considering only what you think the readers already know.O B. telling the readers how you would do something.O C. giving the readers enough detail to form a picture in their mind.O D. showing only the steps you consider important. Todd leaves his bag with a BB gun in it in the locker room after game. Janitors find the gun when looking for ID in the bag. The next day, he is taken from class by police and a principal. He is interviewed and told he had to answer the questions. He was not told he could talk to his parents or a lawyer. Amendment involved: Was it violated?: How?: