If the fifth term in a geometric sequence is 1∕27 and the common ratio is 1∕3, find the explicit formula of the sequence.
Question 14 options:

A)

an = (1∕3)n – 1 for n ≥ 1

B)

an = (3) ⋅ (3)n – 1 for n ≥ 1

C)

an = (3) ⋅ (1∕3)n – 1 for n ≥ 1

D)

an = (1∕27) ⋅ (1∕3)n – 1 for n ≥ 1

Answers

Answer 1

Answer:

The answer is B

Step-by-step explanation:


Related Questions

1. In the Fibonacci sequence {0, 1, 1, 2, 3, 5, 8, ...}, what is the value of Fs?
F5 = 5
F5 = 3
F5 = 8
O F5 = 13

NEED THIS ASAP
NEED A EXAM DONE WILL PAY

Answers

Answer:

f5= 5

Step-by-step explanation:

The value of F₅ in the given Fibonacci sequence is 5, i.e. option A is the correct answer.

What is the Fibonacci sequence?

Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones.

i.e.

[tex]F_n = F_{n-1} + F_{n-2}[/tex]

We have,

Fibonacci sequence {0, 1, 1, 2, 3, 5, 8, ...}

i.e.

F₁ = 0, F₁ = 1, F₂ = 1, F₃ = 2, F₄ = 3, F₅ = 5, F₆ = 8

Now,

We have to find the value of F₅,

Here, for n = 5,

i.e.

[tex]F_5 = F_{5-1} + F_{5-2}[/tex]

i.e.

F₅ = F₄ + F₃

So,

F₅ = 3 + 2

So,

We get,

F₅ = 5

So, the value of  F₅ for the given sequence is  F₅.

Hence, we can say that the value of F₅ in the given Fibonacci sequence is 5, i.e. option A is the correct answer.

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$20 haircut; 10% tip Find the total cost

A. $2.00

B. $18.00

C. $22.00 0

D. $40.00​

Answers

Answer:

answer is c

Step-by-step explanation:

10% of 20 is 2.00
10 cents per every dollar. 10*20 is 200 pennies or 2$
So
20+2 is 22 hope this helps

People drive, on average, 14,063 miles per year. About how many miles each week is that?

Answers

Answer:

About 270.44 miles

Step-by-step explanation:

There is about 52 weeks in a year. 14,063 divided by 52 is 270.44\

DONT TRUST ME ON  THIS

Answer:

270 miles a week

Step-by-step explanation:

there are 52 weeks in a year

so you divide 15,063 by 52

that would equal 270

Sal is participating in a charity walk. The distance Sal walks, in kilometers, is proportional to the number of hours he spends walking.

Which statements are true about the distance Sal walks?

Select each correct answer.

Answers

the attachment is not clear dude...

Answer:

the attachment is not clearly

What is the value of 0X4 ?
WILL GIVE BRAINLIEST

Answers

Step-by-step explanation:

is they fhour the repondet

Answer:

B. 0! x 4 = 4

Step-by-step explanation:

0! is equal to 1 so

1 times 4 is 4

So the answer is

Can some one help me with these 2 questions I’ll give you brainliest

Answers

9514 1404 393

Answer:

  2 + 5i

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  [tex]\dfrac{(25+19i)}{(5-3i)}=\dfrac{(25+19i)(5+3i)}{(5-3i)(5+3i)}\\\\=\dfrac{68+170i}{34}=\boxed{2+5i}[/tex]

__

In general, the multiplication proceeds the way it would if i were a variable. The difference is that i² can be replaced by -1.

6. Los divisores de 28 son:
a. D28 = { 1, 2, 3, 7, 9, 28}
b. D28 = {1,2,5, 8, 14,28}
c. D28 = {1, 2, 4, 7, 14, 28}​

Answers

Answer:

C

Step-by-step explanation:

28/1 = 28.

28/2 = 14.

28/4 = 7.

28/7 = 4.

28/14 = 2.

28/28 = 1.

etc.

I NEED help Zane is determining whether the given value of the variable is a solution of the equation.

13 + h = 21 for h = 9

What steps should Zane take? Check all that apply.
Substitute 9 for the variable h.
Substitute 21 for the variable h.
Simplify by adding 13 and 21.
Simplify by adding 13 and 9.
21 = 21, so 9 is a solution to the equation.

Answers

Answer:

a, d, f

Step-by-step explanation:

Answer:

A d and f

Step-by-step explanation:

I just did it

The question is in the jpg.

Answers

First, you need to find the height, in which it says “a height that’s half the length of the longer base side. Can you guess what that is between 7 and 5? It is 7. And you would find half of that which is 3.5. Now you know the height is 3.5. The formula to find a rectangular pyramid's volume is lwh/3 which you would do 7 * 5 * 3.5, which is equal to 122.5, and then you would divide that by 3, which is 40.833 which would round to 40.8, so there is your answer.
It is 40.8 units^3

Two​ balloons, Balloon A and Balloon​ B have a total volume of gallons. Balloon A has a greater volume than Balloon B. The difference in their volumes is a gallon. What is the volume of each​ balloon?

Answers

Answer:

A=2 B=1

Step-by-step explanation:

Given the Isosceles Trapezoid, find the measure of the missing? angle.

Answers

Answer:

s=65

Step-by-step explanation:

T to S is 180

180-115=65

Sixty percent of a plane's passengers are women and ten percent of those women are in first class. What is the number of women in first class if the plane is carrying 200 passengers?

Answers

Answer:

6

Step-by-step explanation:

60 women. 10 percent would be 6 cause 6 x 10 = 60

answer

12

qwretyuiop[]oiuyftdfuiop[

oihugyftd

Help me please .

I need to show full work to the teacher ?
How to solve it

Answers

You divide all the sides for example 5•7•8•

Solve for x:
7x - 3x + 11 = 27

Answers

7x-3x=27-11
4x=16
16/4=x
x=4

Answer:

-10

Step-by-step explanation:

Working alone, it takes Stephanie seven hours to clean an attic. Shayna can clean it in 12 hours. How long would it take them to clean the attic working together?

Answers

It will take them 19 hours to clean the Arctic together:)

What is the multiplicative inverse of the number 5?

Answers

Answer:

1/5

Step-by-step explanation:

Will give you brainliest PLS HELP ASAPPP

Answers

Answer: UT=18

Step-by-step explanation:

Answer:18

Step-by-step explanation:

It’s divided by 3.5 so divide 63/3.5

Which table represent a linear function. Picture attached and I will mark brainly

Answers

Answer:

Bottom right

Step-by-step explanation:

A linear function is a function that if ploted would be represented by a straight line. The only function out of the following 4 that follows this statement is the bottom right option.

The question is in the attachment

Answers

Answer:

120

10 12

2 5 2 6

2 3

150

10 15

2 5 3 5

Step-by-step explanation:

120= 2x2x2x3x5

150= 2x3x5x5

Multiply all the common prime factors.

2x3x5

HCF= 30

Find x. (More info in the picture)

Answers

Answer is 3. Since triangle PAQ is scale factor 1/2 of triangle ABC. Therefore to find the base of PAQ, you half the base of ABC. 6/2= 3. Please give brainliest answer

Answer:

The answer is 3.

Step-by-step explanation:

What is the greatest common factor of 3 and 27?

Answers

Answer:

9

Step-by-step explanation:

3*9=27

The greatest common factor of 3 and 27 is 3.

Given numbers are 3 and 27.

To find the greatest common factor of 3 and 27, find the factor each number individually.

So, the factor of 3 are:

3 = 1, 3

and, the factor of 27 are:

27= 1, 3, 9, 27

Now, the greatest common factor will be 3.

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In a certain chemical, the ratio of zinc to copper is 4 to 11. A jar of the chemical contains 418 grams of
copper. How many grams of zinc does it contain?
It contains
grams of zinc.

Answers

Answer:

Step-by-step explanation:

Zinc:copper = 4:11

Amount of zinc = 4x

Amount of copper = 11x

11x = 418

x = 38 grams

Amount of zinc = 4x = 152 grams

What is the solution to the system of equations below?

x = 5y - 2 AND 3x - 4y = 27 *

Answers

Answer:

x = 13, y = 3

Step-by-step explanation:

3(5y - 2) - 4y = 27

15y - 6 - 4y = 27

11y = 33

y = 3

x = 15 - 2

x = 13

15 is 9 more than j I need an equation

Answers

Answer: j = 6

Step-by-step explanation:

the answer is six because the question says 15 is 9 more which is simple subtraction so u do 15-9=6.

Answer:

you have 15 cats but your neighbor had 9 more than you but your mom has J cats. How many cats do you all have together

Step-by-step explanation:

A study suggested that childrenbetween the ages of 6 and 11 in the US have anaverage weightof 74 lbs. with a standard deviation of 2.7 lbs.If we assumethe weights are normally distributed, what proportion of childrenin this age range between 70 lbs. and 85 lbs.

Answers

Answer:

The proportion of children in this age range between 70 lbs and 85 lbs is of 0.9306.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

A study suggested that children between the ages of 6 and 11 in the US have an average weightof 74 lbs, with a standard deviation of 2.7 lbs.

This means that [tex]\mu = 74, \sigma = 2.7[/tex]

What proportion of childrenin this age range between 70 lbs and 85 lbs.

This is the pvalue of Z when X = 85 subtracted by the pvalue of Z when X = 70. So

X = 85

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

[tex]Z = \frac{85 - 74}{2.7}[/tex]

[tex]Z = 4.07[/tex]

[tex]Z = 4.07[/tex] has a pvalue of 1

X = 70

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

[tex]Z = \frac{70 - 74}{2.7}[/tex]

[tex]Z = -1.48[/tex]

[tex]Z = -1.48[/tex] has a pvalue of 0.0694

1 - 0.0694 = 0.9306

The proportion of children in this age range between 70 lbs and 85 lbs is of 0.9306.

1. There are five questions on a multiple-choice test. Each question has four possible
answers. Savanna did not study for the test, randomly picks the answers, and submits
the exam. Find the probability that:
Savanna answers the first question correctly.
b. Savanna answers the first, second, third, fourth, and fifth questions correctly.

Answers

Answer:

a. 1/4

b. 1/4 ^ 5 = 1/1024

From midnight to 6:00 am, the temperature rose 1.55c each hour. If the temperature at 6:00 am was 4.3c, what was the temperature at midnight?

Answers

I believe that the answer is zero

Donnie has $20 to spend at the amusement park. The
amusement park charges a $10 admission fee. The
amusement park also has special exhibits that cost $4.00
each to view. Which equation can be used to determine the
amount of money, y, that Donnie has left if he views x
exhibits?

Answers

Answer:

C. Y=10-4x

Step-by-step explanation:

Find the value of x so that the ratios are equivalent.
1:8 and 4:x
X =

Answers

Answer:

32

Step-by-step explanation:

1 : 8 = 4 : 32

So, 4 : x = 4 : 32

x = 32

The value of x from the given ratios is 32.

Given that, the ratios 1:8 and 4:x are equivalent.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here,

1:8 =1/8

4:x =4/x

Ratios are equivalent 1/8 = 4/x

x= 4×8

x=32

Therefore, the value of x from the given ratios is 32.

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If you overestimate the standard deviation of the population, which type of error are you potentially increasing

Answers

Answer:

Standard Error

Step-by-step explanation:

The standard deviation is directly proportional to the sample standard deviation or standard error.

According to the relation :

Standard Error = standard deviation / sqrt(sample size)

Going by these relation an increase in the value of standard deviation will favor or increase the standard error withba constant Number of samples.

Therefore, overestimating the standard deviation will. Cause an increase in the standard error, while underestimating the standard deviation will also lower the standard error.

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