please!
If the sixth term in a geometric sequence is 1/625, and the common ratio is 1/5, find the explicit formula of the sequence.

Question 21 options:

an=(15)n−1for n ≥ 1


an=(5)⋅(15)n−1for n ≥ 2


an=(1)⋅(15)n−1for n ≥ 2


an=(5)⋅(15)n−1for n ≥ 1

Answers

Answer 1

Answer:

aₙ = 5*(1/5)^(n - 1)

Step-by-step explanation:

The recursive relation for a geometric sequence is:

aₙ = aₙ₋₁*R

where R is the common ratio.

We could write this in a general form as:

aₙ = a₁*(R)^(n - 1)

where a₁ is the first term of the sequence.

In this case we know that:

R = 1/5

And that:

a₆ = 1/625

Then we can replace these values in the above relation to get:

a₆ = (1/625) = a₁*(1/5)^(6 - 1) = a₁*(1/5^5) = a₁*(1/3125)

1/625 = a1*(1/3125)

(3125/625) = a1 = 5

Then the formula will be:

aₙ = 5*(1/5)^(n - 1)


Related Questions

Which statement can you conclude is true from the given information?

Answers

Answer:

angle IJA is a right angle

Which of the following statements are not proportional?
5/4 = 10/8
7/5 = 35/25
2/3 = 12/18
4/6 = 9/12

Answers

Answer:

4/6 = 9/12 is not proportional

Step-by-step explanation:

4th one is not proportional

Question is below thanks

Answers

Answer:

33.51

Step-by-step explanation:

There's a formula using the value of the angle but I don't remember it so the most easy way is:

A circle has an angle of 360°

so our section has an angle of 60

and we know that 360=60*6

so the area of the circle we divide it by 6 and we get the area we want

[tex]A=\pi r^2\\\\A=\pi (8)^2\\\\A=64\pi[/tex]

divide this by 6

[tex]A_1=A/6=64\pi/6\approx 33.51[/tex] units squared

Answer:

33.51

Step-by-step explanation:

hope it helps

Plezzzzzwzzzzzzzz help

Answers

Answer:

[tex] 3 - a [/tex]

Step-by-step explanation:

Given that when you add two numbers together the result is 3.

The greater of the number is given as a.

Let "x" represent that lesser number.

Thus:

[tex] a + x = 3 [/tex]

To make x the subject of the formula. Subtract a from both x.

[tex] a + x - a = 3 - a [/tex]

[tex] x = 3 - a [/tex]

Therefore, the expression that represents the lesser number, x, is:

[tex] 3 - a [/tex]

In the diagram m<3 = x +30 and m<4= 2x - 80. What is the measure of angle 3?
A)50
B)80
C)110
D)140

Answers

Answer:

110,........................

What investment/savings options has the greatest risk?

Answers

Stocks / Equity Investments include stocks and stock mutual funds. These investments are considered the riskiest of the three major asset classes, but they also offer the greatest potential for high returns.

3. To make purple frosting, you start with white frosting.
Then you add 2 drops of red food coloring and 3 drops of
blue food coloring. If 4 red drops come out with the first
squeeze, how many blue drops should you add?

Answers

Answer:  6 drops of blue

==================================================

Explanation:

We basically mix red and blue to get purple. The ratio needed is 2 parts red, and 3 parts blue. We can shorten this by writing 2:3

Note how we can double both parts of the ratio to get 4:6, showing that 4 drops of red correspond to 6 drops of blue, which is the answer we want.

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

Another approach:

x = some positive real number

(2 parts red)/(3 parts blue) = (4 parts red)/(x parts blue)

2/3 = 4/x

2x = 3*4 .... cross multiply

2x = 12

x = 12/2 .... divide both sides by 2

x = 6

So 6 drops of blue go with 4 drops of red.

Eight friends go to the movies. The price for each ticket is
$7.99. One person thinks the total for all eight people will
be around $50.00.
Is this a reasonable estimate? Why?
OA. Yes, a reasonable estimate is around 5- $10 = $50.
B. No, a reasonable estimate is around 5 $8 = $40.
C. No, a reasonable estimate is around 8 $8 = $64.
OD. No, a reasonable estimate is around 8-$9 = $72.

Answers

Answer:The answer is C....

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

PLEASE I WILL GIVE BRAINlEST ANSWER
"I’m thinking of a number. When I divide my number by four and add seven I get thirteen."


What’s my number? Show your work and explain how you know your answer is correct.

Answers

Answer:

The number is 24

Step-by-step explanation:

This can be written algebraically as:  [tex]\frac{x}{4}+7=13[/tex]

Solve for x, in which the steps are shown below.

Thanks for the question! :)

A store buys purses for $24.50 and then marks them up 25%. The store then discounts any purses that do not sell in the first month by 10%. Find the sales price of the purse that do not sell in the first month

Answers

Answer:$27,57

1)find out how much wallets cost in the first month:

24,50 -100%

х      - 125%

х= 24,50*125/100 ≈ 30,63

2)we will find out how much the wallets cost after the price is reduced by 10%:

30,63 - 100%

х         -90%

х=30,63*90/100 ≈ 27,57

Step-by-step explanation:

{(-3.7).(-5, -8), (-6, -1). (-9, -1), (0, -3) }
Domain:
Range
Function?
State if it is a function or not

Answers

Answer:

The domain is the set of all the values of x, so it would be -3, -5, -6, -9, 0. The range would be every set of y, so it would be 7, -8, -1, -3. Finally, this relation is indeed a function.

Domain: -3, -5, -6, -9, 0

Range: 7, -8, -1, -3

Is it a function? Yes

35 points plz help
Evaluate −4(14)6x for x=13.

Enter your answer as a fraction in simplest form in the box.

Answers

Answer:

-15228

Step-by-step explanation:

Given the expression :

-4(14)6x for X = 13

To evaluate ; simply substitute 13 for X in the equation :

-14(14)6(13)

-14 * 14 * 6 * 13 = - 15228

HELP ASAP
what are the root functions?

Answers

A root function is a function expressed by x^1/n for positive integer n greater than 1.

Do any of you guys know the answers to these! Need help

Answers

Answer:

(16) 0    (17) 36

Step-by-step explanation:

8-3 = 5

5x5 = 25

25 / 25 = 1

1 - 1 = 0

and 81 / 9 x 4 = 9 x 4 = 36

Answer:

0 and 36

Step-by-step explanation:

16

25 ÷ (8 - 3)² - 1 ← evaluate parenthesis

= 25 ÷ 5² - 1 ← evaluate exponent

= 25 ÷ 25 - 1 ← evaluate division

= 1 - 1

= 0

17

[tex]\frac{4}{9}[/tex] × 81 = 4 × 9 = 36

Which expression is equivalent to one over three p + 15?

one over three(p + 45)
one over three(p + 5)
3(p + 45)
3(p + 5)

Answers

Answer:

1/3p + 5

Step-by-step explanation:

1/3 of 15 is 5

If you think in terms of multiplication: 3 groups of 5 is 15 so 1 group of 15 would be 5

Answer:

a) 1/3 (p+45)

Step-by-step explanation:

that's the answer

John made 3 out of 12 attempted baskets in the game. What percentage of the shots did he make?

Answers

Answer:25 percent

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

3/12 as a present is 25%

What is the answer to this radical functions equation ASAP

Answers

It’s d
Hope it help
Mark Brainly

Which expression is equivalent to 42 + 12? 7(6+5) 2(40+6) 6(7+2) 10(32+2)

Answers

Answer:

6(7+)

Step-by-step explanation:

1) Start by solving the original equation

42 + 12 = 54

2) Solve the other equations until you find a match

2a) Start with what's in the parenthesis

7(6+5) = 7(11) = 77

2b)

2(40+6) = 2(46) = 92

2c)

6(7+2) = 6(9) = 54

This is your answer

2d)

10(32+2) = 10(34) = 340

Answer: 6(7 +2)

Step-by-step explanation:

Calculate 42 + 12, which is 54.

Calculate 7(6 + 5), which is 7 * 11 = 77.

Calculate 2(40 + 6), which is 2 * 46 = 92.

Calculate 6(7 + 2), which is 6 * 9 = 54.

Calculate 10(32 + 2), which is 10 * 34 = 340.

And, we can conclude the expression 6(7 + 2) is equivalent to 42 + 12.

What is the y-value of the solution of the system of equations given below?
3x + 2y = -6
y = 2x + 4

Answers

Point form: (-2, 0)
Equation form: x=2, y=0

What is the sum of 4.3943 and 5.4157?
A.9.71
C. 9.81
B.9.72
D.9.82​

Answers

Answer:

9.81

Step-by-step explanation:

You have to add them up: 4.3943 +

                                            5.4157

                                            ----------

                                            9.8100

C - 9.81 hope this helps:)

Representative: “I am planning to attend a company-paid conference. My charges will include $412.00 for airfare, $378.00 for conference registration, and $210.00 for food.” Supervisor: “Please submit an expense form for a total of __________ when you return.”

Answers

The answer is 1,000 dollars. :)

When he returns, the total will be "$1,000".

Given charges are:

For airfare,

= $412.00

For conference registration,

= $378.00

For food,

= $210.00

The total charges will be:

= [tex]Airfare+Conference \ registration+Food[/tex]

= [tex]412+378+210[/tex]

= [tex]1,000[/tex] ($)

Thus $1,000 is the right answer.

Learn more:

https://brainly.com/question/18057159

how do you find a slope

Answers

Answer:

rise/run

Step-by-step explanation:

rise meaning the y value, run meaning the x value

Type the correct answer In each box.
What are the values of x and y that make the equations true?
Equation A
(x + yi) + (4 – 7i) = 3 - 4i
Equation B (x + yi) - (-6 + 14i) = 18 + 2i
In equation A, x =
and y =
In equation B, r =
and y =

Answers

9514 1404 393

Answer:

  A: x = -1  and  y = 3

  B: x = 12  and  y = 16

Step-by-step explanation:

In each case, you can add the opposite of the constant to find the variable.

Equation A

  (x +yi) +(4 -7i) = (3 -4i)

  (x +yi) +(4 -7i) -(4 -7i) = (3 -4i) -(4 -7i) . . . . . add -(4-7i) to both sides

  x +yi = (3 -4) +(-4-(-7))i = -1 +3i

  x = -1  and  y = 3

__

Equation B

  (x +yi) -(-6 +14i) = (18 +2i)

  (x +yi) -(-6 +14i) +(-6 +14i) = (18 +2i) +(-6 +14i) . . . . . add (-6 +14i) to both sides

  x + yi = (18 -6) +(2 +14)i = 12 +16i

  x = 12  and  y = 16

Answer:

In equation A: x=-1 and y=3

In equation B: x=12 and y=16

Step-by-step explanation:

Theresa and her mother made homemade salsa. They made 4.5 quarts of salsa. They are going to store the salsa in pint-sized jars.
Calculate how many pint-sized jars Theresa will need to store 4.5 quarts to pints.
O 5 jars
O 6.5 jars
09 jars
O 12 jars

Answers

Answer:

9 pint sized jars

Step-by-step explanation:

There are two pints to the quart. 2x4=8, so there is 8 pints per 4 quarts. If one pint is the same as half a quart, we can write a pint as 0.5 quarts. So, there are 9 pints to 4.5 quarts.

Answer:

9 jars

Step-by-step explanation:

there are 2 pints in a quart so 4.5x2=9

Jake decides to mow lawns for the first two weeks in June to earn money to buy a new bicycle . If the bicycle cost $153.73 and jake chargers $10.25 to mow each lawn, how many lawns will he need to mow in two weeks to buy the bicycle?

Answers

Answer:

14

Step-by-step explanation:

What is 4 2/5 times 2 2/3

Answers

11.733333333 is the answe of the question u asked me today hope it works

Use mental math to solve the equation.
5) C-(-15) = 38
7) Write a pairs of negative intogoro

Answers

23 I think is the answer

Bea's catering charges $3 per person and a $60 clean-up fee to cater banquets. Write an equation to find the number of students (n) that could attend the French clubs banquet if they had a budgeted $200 for catering

Answers

Answer:

The required equation will be:

200 = 3n + 60  

Step-by-step explanation:

We know the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where 'm' is the slope or rate of change and 'b' is the y-intercept of the equation

Let 'n' represents the number of students (n).Let 'c' represents the cost budget.

Given that Bea's catering charges $3 per person.

Thus, the slope or rate of change = m = 3 dollars per person

Given that the clean-up fee to cater banquets = $60

In other words, $60 is the initial condition or y-intercept.

Thus, the y-intercept b = 60

Given that the cost budget = c = $200

Thus, the equation becomes

c = mn+b

substituting c = 200, m = rate of cgange = 3, b = 60

200 = 3n + 60            ∵ comparing with y = mx+b

Thus, the required equation will be:

200 = 3n + 60  

The equation that determines the no of students should be 200 = 3n + 60  

Equation need to be used:

Here we assume n be the number of students

And, c be the the cost budget.

So, we know the equation should be formed by applying the following expression

c = mn+b

Here c = 200, m = r = 3, b = 60

Therefore, the equation is 200 = 3n + 60        

Hence, The equation that determines the no of students should be 200 = 3n + 60  

Learn more about an equation here; https://brainly.com/question/18510004

Draw the graph of y = 2x + 1

Answers

Answer:

Draw a dot at (0, 1)

Draw dot at (-1, -1)

Draw dot at (1, 3)

Connect the dots with a straight line

Step-by-step explanation:

The given equation is in slope-intercept form (y = mx + b). In this form, m is the slope and b is the y-intercept (where the line crosses through the y-axis).

The slope is 2, also written as [tex]\frac{2}{1}[/tex]. This means that the line goes up 2 units for each 1 unit to the right.

28.2% of 92 this is for math

Answers

Hey there!

Usually when you come across the word “of” in mathematical problems , it simply means that you’re multiplying

So we can simply multiply 28.2% from 92

28.2% = 28.2/100 = 0.282

New equation

0.282 * 92 = the answer

0.282 * 92 = 25.944

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

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