What is the iterative rule for the following sequence?
4, 4/5, 4/25, 4/125, ...

A.) an=4•(1/5)^n-1
B.) an=4•(1/5)^n
C.) an=1/5•4^n-1
D.) an=1/5•4^n

Answers

Answer 1

Answer:

A.) 4 * (1/5)^(n-1)

Step-by-step explanation:

a1 = 4 * (1/5)^(1-1) = 4* (1/5)^0 = 4*1 = 4

a2 = 4 * (1/5)^(2-1) = 4 * (1/5)^1 = 4 * 1/5 = 4/5

a3 = 4 * (1/5)^(3-1) = 4 * (1/5)^2 = 4 * 1/25 = 4/25

a4 = 4 * (1/5)^(4-1) = 4 * (1/5)^3 = 4 * 1/125 = 4/125

a5 = 4 * (1/5)^(5-1) = 4 * (1/5)^4 = 4 * 1/625 = 4/625

. . .

Answer 2

The required iterative rule for the following sequence is [tex]a_n=4*(1/5)^{n-1}[/tex]. Option A is correct.

Given sequence,
4, 4/5, 4/25, 4/125, ...

What is geometric progression?

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
The given sequence is 4, 4/5, 4/25, 4/125, ...

Common ratio among the proceeding terms,
r = 4/5/4
r = 1/5
The required general term can be described as [tex]a_n=4*(1/5)^{n-1}[/tex].

Thus, the required iterative rule for the following sequence is [tex]a_n=4*(1/5)^{n-1}[/tex]. Option A is correct.

Learn more about geometric progression here: https://brainly.com/question/4853032

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Related Questions

i’m just stuck on #6, is it d or c???

Answers

It’s D because the angles are found in the same relative position on different intersections

Justify each step
-12p+45-7p

Answers

Answer:

Given, Associative, Commutative, Associative, Addition

Step-by-step explanation:

-12p + 45 -7p           Given

-12p + (45 - 7p)        Associative

-12p + (-7p + 45)      Commutative

(-12p + -7p) + 45     Associative

-19p + 45                Addition

Let f(x) = x − 3 and g(x) = x + 11. Find f(x) ⋅ g(x).

x2 − 8x − 33
x2 − 8x + 14
x2 + 8x + 14
x2 + 8x − 33

Answers

Multiply them
(x-3)(x+11)
x^2 + 11x - 3x - 33
x^2 + 8x - 33
Solution: D

Answer:

D) x^2 + 8x - 33

Step-by-step explanation:

I took the quiz and got a 100%

A dog kennel charges a daily boarding rate as shown on the graph. use the information to mark 5-8 as true or false. if false, rewrite the statement correctly. 1. The dog kennel charges $60 per day. 2. The equation y = 30x can represent the graph. 3.Third is It costs $200 to board a dog for 7 days 4. The graph will contain the coordinate (9,270) Please give me all answers to all questions or i will go into trouble

Answers

The relationship between the cost charged for the daily boarding of dogs

by the kennel is a directly proportional relationship.

The correct responses are;

1. The dog kennel charges $60 per day is; False

Correct statement; The dog kennel charges $30 per day

2. The equation y = 30·x can represent the graph; True

3. It costs $200 to board a dog for 7 days is; False

Correct statement; It costs $210 to board a dog for 7 days

4.The graph will contain the coordinate point (9, 270); True

Reasons:

Points on the graph of the given graph of the Cost to Number of days are;

(2, 60), (4, 120)

The slope of the graph is [tex]m = \dfrac{120 - 60}{4 - 2} = 30[/tex]

Equation of the graph is therefore; y - 60 = 30·(x - 2)

Which gives;

y  = 30·x - 2×30 + 60 = 30·x

The equation of the graph is; y = 30·x

Therefore, the statement;

2. The equation y = 30·x can represent the graph is; True

The cost of the dog kennel a day is given by the value of 'y', when x = 1, as

follows;

Cost per day, y = 30 × 1 = 30

The cost per day = $30 per day

Therefore;

1. The dog kennel charges $60 per day is; False

The correct statement is; The dog kennel charges $30 per day

3. The statement; It costs $200 to board a dog for 7 days is; False

The amount it costs to board a dog for 7 days is y = $30×7 = $210

Therefore, the correct statement is; It costs $210 to board a dog for 7 days

4. When x = 9, we have; y = 30 × 9 = 270

Therefore, the statement; the graph will contain the coordinate point (9, 270) is; True

Learn more here:

https://brainly.com/question/5281177


A girl can run 6 2/3 metres in one second. How long will it take her to run 100 metres?
HELP PLEASE.

Answers

Answer:

15 seconds

Step-by-step explanation:

How did i get this answer? It is apparent that the girl is capable of running 6 2/3 metres per one second and she must run 100 metres.

First, let's convert 2/3 into a decimal so that it is easier to calculate later. 2/3=0.667 (you can also just do 2 divide by 3 and will end up with the same number)

Now our numbers are 6.667 and 100. Let's divide 100 by 6.667 which estimates to 15

Answer:

It will take the girl 15 seconds to run 100 meters

Step-by-step explanation:

100÷6 2/3 is 15

reverse it to see if your right: 15×6 2/3 is 100

have a good day, sorry if I'm wrong:)

(if I am wrong plz tell me<3)

express -121 in simplest form

Answers

Answer:

An expression is in simplest form when no terms can be combined. To express 3 + (2 × 5) in simplest form: First: perform the operation within parantheses. Next: perform the addition. thank me later

kuisssss


hi how are you?

[tex] \sf {3}^{2} \div 9 = [/tex]

pakai cara​

Answers

Answer:

1

Step-by-step explanation:

[tex] {3}^{2} \div 9 = \\ =(3 \times 3) \div 9 \\ = 9 \div 9 \\ = 1 [/tex]

Moga Membantu ^-^

Answer:

The solution is 1

Step-by-step explanation:

3²÷9

= 9÷9

= 1


Factor the following expression completely.

16x^5-x^3

A. 1343 1) (4x + 1)
B. 13(41 – 1)
C. (413 – 22)
D. 13(16x2 – 0)

Answers

X^(16x^2-1) factor the expression

The answer to the graph

X^3(4x-1)(4x+1)

In Pedro’s rose garden, 9 of the rose bushes are blooming and the other 6 rose bushes are not blooming. what is the ratio of the number of bushes that are not blooming?

Answers

Answer:9:6

Step-by-step explanation:

Find the slope of the line that passes through (10,10) and (1,2)

Answers

Answer:

8/9

Step-by-step explanation:

[tex]m = \frac{10 - 2}{10 - 1} = \frac{8}{9} [/tex]

Find the slope of the line
(18, 7) (8, 10)

Answers

Answer -.3

So what I did was subtract 10-7 which is 3 then subtract 8-18 which is -10 then divide 3 divide by -10 and you get -.3

Taylor has $150 to spend on small canvases and paints for her art classes. The art supply store sells a four-pack
of small canvases for $4.00 and paints for $6.25, including tax.
Which inequality represents this situation where is the number of four-packs of canvases and p is the number of
paints Taylor purchases?
O4c+ 6.25p < 150
O 40+ 6.25 > 150
O 6.25c+ 4p > 150
O 6.25c +4p < 150

Answers

Answer:A

Step-by-step explanation:

help me please
i need it

Answers

Answer:

5

Step-by-step explanation:

read your book so that you can know your book

The answer to your question is 5

Math need help one question

Answers

Answer: Multiply the second equation by -2

Explanation:

The elimination method requires you to set one variable in an equation to be the opposite of that variable in another equation.  As such, due to the presence of 2x in the top equation, you need -2x in the bottom.  Then, simply add the equations to get the answer.

Hope it helps :)

x-5+x-11=100 what is the reason for this statement for geometry?​

Answers

Answer:

because when the value of x is replaced in the factorisation it Will be equivalent to 100

Mathematics Ratio
Help plz​

Answers

Answer:

480

Step-by-step explanation:

Check out the solution

Solve this equation: -7.2 + 12 - 2.c
23 + 13x
Step 3: Isolate the variable term on one side of the equation by both sides of the equation

Answers

Answer:

4.8-46c+13x

Step-by-step explanation:

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D

Answers

Answer:

1. 4x=36

2. x+3 = 15

Step-by-step explanation:

so for 1 if one cupcake is $4.00 that means multiplying it by x gets you $36.00

and the 4 next to the x means multiplyand x is sam and 15 is marco sam is 3 years younger so x+3=15 and x being 12 <3 hope this helps

FRANK has a paper clip.it has a mass of 9g and a volume of 3cm3.what is its density?

Answers

Answer:

3 g/cm³

Step-by-step explanation:

The density of a substance can be found by using the formula

[tex]density = \frac{mass}{volume} \\[/tex]

From the question we have

[tex]density = \frac{9}{3} = 3 \\ [/tex]

We have the final answer as

3 g/cm³

Hope this helps you

Show that the expression 1.50(10-r) is equivalent to 15-1.50r

Answers

Answer:

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Step-by-step explanation:


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Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

Step-by-step explanation:

y coordinate

m = slope

x = x coordinate

b = y intercept

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Answers

Here is the graph. Work is shown in the picture. I hope this helps.

plsss help me with this:(((​

Answers

Answer:

[tex] \frac{2 {a}^{2} }{3 {b}^{3} } \div \frac{6 {a}^{3} }{5 {b}^{2} } = \frac{2 {a}^{2} }{3 {b}^{3} } \times \frac{5 {b}^{2} }{6 {a}^{3} } = \frac{5}{9ab} \\ \\ \frac{ {x}^{2} - 5x + 6}{ {x}^{2} - 6x + 9} + \frac{4x - 12}{{x}^{2} - 6x + 9} \\ = \frac{{x}^{2} - 5x + 6 + 4x - 12}{{x}^{2} - 6x + 9} \\ = \frac{{x}^{2} - x - 6}{{x}^{2} - 6x + 9} \\ = \frac{(x - 3)(x + 2)}{(x - 3)(x - 3)} \\ = \frac{(x + 2)}{(x - 3)} \\ \\ \frac{3a}{a - b} - \frac{a + 2b}{a - b} \\ = \frac{3a - a + 2b}{a - b} \\ = \frac{2a - 2b}{a - b} \\ = 2\frac{a - b}{a - b} \\ = 2[/tex]

wiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

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Are you talking about the console Wii

if so yeah there pretty good

Answer:

Sports

Step-by-step explanation:

Please help me solve this ASAP please !

Answers

This is a Reflection :) Have a great day !

Reflection because it is the same just flipped over the line, and all the points are the same.

Tổng các góc của tứ giác bằng bao nhiêu

Answers

Answer:

tổng các góc của tứ giác bằng 360 độ

Step-by-step explanation:

ha? what language is that?

8 divided by 1 4/5 Arithmetic operation

Answers

Answer:

4.4

Step-by-step explanation:

Find the value of x and then identify the measure of each of the angles.

Answers

Answer:

x° = 22°

Step-by-step explanation:

[tex](x + {46}^{o} ) + {x}^{o} = {90}^{o} \\ {x}^{o} + {46}^{o} + {x}^{o} = {90}^{o} \\ {2x}^{o} + {46}^{o} = {90}^{o} \\ {2x}^{o} = {90}^{o} - {46}^{o} \\ {2x}^{o} = {44}^{o} \\ {x}^{o} = \frac{ {44}^{o} }{2} \\ {x}^{o} = {22}^{o} \\ [/tex]

C. Directions: Copy and answer. Write in the circle the final sum of
the given number.
1.
98
2.
40
3.
123
-13
47
150
70
1180
-59
321
1-300
다.
1
5.
1326
6.
109
66
11-51
39
139
7
7433
88
77​

Answers

Answer:

98

Step-by-step explanation:

50 POINT QUESTION!!!!
f(x)=12x^(2)+4x-5

find the zeroes of the function...

Answers

Answer is in picture below

:)

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