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

#SPJ5



Related Questions

HELPP PLEASE will put brainliest ​

Answers

Answer:

Slope of function A is equal to slope of function B

Step-by-step explanation:

Function A

[tex]y =\dfrac{2}{5}x+1\\\\\\slope=\dfrac{2}{5}[/tex]

Function B:

[tex]Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{3-[-1]}{5-[-5]}\\\\=\dfrac{3+1}{5+5}\\\\\\=\dfrac{4}{10}\\\\\\=\dfrac{2}{5}[/tex]

the function is( -7,1)(-5,3)(-7,-1)(5,13)

Answers

Answer:

Not a function

Step-by-step explanation:

The an x-value (the first number in your ordered pair)ca not appear in another ordered pair.  It it does, you do not have a function.

( -7,1)(-5,3)(-7,-1)(5,13)  -7 appears as the first number in two of your ordered pairs.  Not a function!

AYUDA porfavor

asdfghjk,l.

Answers

Answer:

english please?

Step-by-step explanation:

Answer:

english pls

Step-by-step explanation:

The table shows sets of ordered pads that form a relation

Does each set of ordered pairs represent a function?

Select Function or Not a Function for each set of ordered pairs

{(2,4),(3,1),(0,5),(-1,3)}
{(2,4),(4,1),(0,4), (3,0)}
{(-23),(4,1),(4,4),(3, 2)}
{(7-3),(3; -7), (2,4),(4, 2)}

Answers

Answer:

(5,2) (-2,5) this is how you solve an equation using simple graphd

okay now i rlly need this done man

Answers

Answer:

x=9.5

EDIT: Its actually x=6

Step-by-step explanation:

Brainliest?PLEASE?

Answer:

4

8

+

2

{\color{#c92786}{\frac{4x}{8}}}+2

84x​+2

2

+

2

Step-by-step explanation: please mark brainliest

Question is in image.
a. x = 4, RS = TS = 23, RT = 7
b. x = 2, RS = TS = 20, RT = 5
c. x = 3, RS = TS = 29, RT = 8
d. x = 5, RS = TS = 18 RT = 4

Answers

Answer:

C.

Step-by-step explanation:

HOPE ITS HELP

whith jrverano2010

8/3×(−2 1/2) find the product

Answers

Step-by-step explanation:

8/3 × -5/2 = -20/3

that is the answer

.
13
14
15
16
17
18
19
20
>
Complete the following:
1. Write an exponential expression: choose an odd number between 0 and 10 to be the base and an even number
between 0 and 10 to be the exponent.
2. Label the base and the exponent.
3. Then write the exponential expression in expanded form and standard form

Answers

Answer:

I have work busy byeeeeeeeee

on a coordinate grid what is the distance of (-2,4) and (5,4)

Answers

Answer:

the distance is 7 units

Step-by-step explanation:

Since the we calculate the distance between (-2,4) and (5,4) and those points have the same y=4 coordinate then they are both part of a horizontal  line.

The distance is found by looking at the x-axis.

From -2 to 5 so is form -2 until 0 is (2 )+ (5 )more = 7

PLZZZ LOOK AT THE PHOTO PROVIDE HELPPPP I NEEED HELPPPPPPPPPOPP

Answers

Answer:

OH MY GOSH I DON'T KNOW BUT GL! WISH YOU THE BEST AAAAA-

Step-by-step explanation:

Answer:

ITS A

trust me it's quite simple. you just need to find the overall pattern of the sequence

6. Cafe A offers 2 free bottled waters or juices for every 20 purchased. What is the ratio of free drinks to purchased drinks? *

Answers

Answer:

1: 10

Step-by-step explanation:

2/2 =2

20/2 = 10

solve−4 1/3÷−2 3/5

a 1 2/3
b 1 4/5
c 2 1/5
d 2 3/5

Answers

A 1 2/3
-4 1/3 / -2 3/5=1.6666=1 2/3

can someone help on number 7 and 8
show work please aswell this is due tmr!

Answers

Answer:

In the picture

Step-by-step explanation:

For #8, make sure you combine the like terms on the parantheses due to PEMDAS, then distribute and solve for the variable.

Without using a calulator, find A and B, A^B - B^A = 1.

Answers

Answer:

A = 1

B = 0

Step-by-step explanation:

The n sequence question

Answers

Answer:

a) in order

-3;-2;-1

b) 6

1-4=-3

2-4=-2

3-4=-1

4-4=0

5-4=1

6-4=2

7-4=3

8-4=4

9-4=5

10-4=6

Complete the conjecture based on the pattern you observe in the examples below:

Conjecture: The sum of any two odd numbers is ___

1 + 1 = 2 9 + 11 = 20

1 + 5 = 6 13 + 21 = 34

7 + 9 = 16 101 + 103 = 204


Conjecture: The product of any two numbers is ___

1 . 1 = 1 9 . 11 = 99

1 . 3 = 3 13 . 11 = 143

3 . 7 = 21 101 . 103 = 10,403


Conjecture: The product of a number (x-1) and the number (x+1) is always equal to ___

3 . 5 = 4² - 1 7 . 9 = 8² - 1

4 . 6 = 5² - 1 6 . 8 = 7² - 1

5 . 7 = 6² - 1 8 . 10 = 9² - 1

Answers

Step-by-step explanation:

the writing and spacing of the problem description is difficult to understand.

but there is no mystery. look at the examples.

all of them

3×5 = 15 = 16 - 1 = 4² - 1

4×6 = 24 = 25 - 1 = 5² - 1

5×7 = 35 = 36 - 1 = 6² - 1

6×8 = 48 = 49 - 1 = 7² - 1

7×9 = 63 = 64 - 1 = 8² - 1

8×10 = 80 = 81 - 1 = 9² - 1

so, what does this look like ?

(x-1)×(x+1) is always equal to (x² - 1)

Which equation is equivalent to 0.3y +0.4(25 - y) = 6.8 ?

Answers

Answer

y = 32

Step-by-step explanation:

Let's solve your equation step-by-step.

0.3y+0.4(25−y)=6.8

Step 1: Simplify both sides of the equation.

0.3y+0.4(25−y)=6.8

0.3y+(0.4)(25)+(0.4)(−[tex]\frac{-0.1y}{-0.1} =\frac{-3.2}{-0.1}[/tex]y)=6.8(Distribute)

0.3y+10+−0.4y=6.8

(0.3y+−0.4y)+(10)=6.8(Combine Like Terms)

−0.1y+10=6.8

−0.1y+10=6.8

Step 2: Subtract 10 from both sides.

−0.1y+10−10=6.8−10

−0.1y=−3.2

Step 3: Divide both sides by -0.1.

-0.1y/-0.1=-3.2/-0.1

y=32

I hope this helps?

On a drawing of a model airplane, the scale used is 1 in.:3 ft. How many feet would 4.5 inches represent?

A. 13.5 feet
B. 6.5 feet
C. 1.5 feet
D. 4.5 feet

Answers

Answer:

13.5

Step-by-step explanation:

4.5*3=13.5

3 time 4.5 is 12+1.5 so it’s A lol

One of the legs of a right triangle is twice as long as the other, and perimeter of the triangle is 28. Find the lengths of all three sides, to three decimal places

Answers

Step-by-step explanation:

One leg is x, the second leg is 2x and the hypotenuse is:

h = [tex]\sqrt{x^2+(2x)^2} =\sqrt{5x^2} =x\sqrt{5}[/tex]

Perimeter is:

x + 2x + x√5 = 28x(3 + √5) = 28x = 28/(3 + √5) ≈ 5.348

The sides are:

5.348, 2*5.348 = 10.6965.348*√5 = 11.958

someone please help me

Answers

Answer:

the slope is -2

Step-by-step explanation:

Answer:

1/1 = 1

Step-by-step explanation:

Use rise/run.

The x value increases by 1 in the same amount of time that the y value increases by 1. This gives you the slope 1/1 (y increase/x increase).

1/1 can then be converted to 1.

a = 1/3 (b+c)
make b the subject ​

Answers

Answer:

b= 3a-c

Step-by-step explanation:

Solve for b.

a= 1/3(b+c)

multiplying both sides by 3.

3a= b+c

subtract c from both sides.

3a-c=b

or

b= 3a-c

Answer:

b= 3a-c

Step-by-step explanation:

Solve for b.

a= 1/3(b+c)

Multiplying both sides by 3.

3a= b+c

Subtract c from both sides.

3a-c=b

or

b= 3a-c

Use the Completing the Square method to solve for x.
y= (x + 3)2 – 4.
OX= 1 & 5
Ox= -1 & 5
O x = 1 & -5
OX= -1 & -5

Answers

Answer:

x = -1

x = -5

Step-by-step explanation:

y= (x+3)^2 - 4

(x + 3)^2 = x^2+6x+9

y = x^2 + 6x + 9 - 4

y = x^2 + 6x + 5

x^2 + 6x = -5

x^2 + 6x + 9 = -5+9 (6/2=3, 3^2 = 9) (add 9 to both sides)

(x + 3)^2 = 4

x + 3 = sqrt 4

x + 3 = +- 2

x + 3= 2. x = 2-3. x = -1

x + 3 = -2. x = -3-2. x = -5

Which inequality has a solution that is the set of all real numbers?
12 < 14
x < 12
12 > 14
x > 14

Answers

Answer:

12<14

x<12

14>12

14>x

Step-by-step explanation:

I dont know if it is correct but I think it is that way try

Write 7.5 -102 in standard form.​

Answers

Answer:

-94.5

Step-by-step explanation:

7.5 less 102 is equivalent to the negative of 102 less 7.5:  -(102 - 7.5) = -94.5.

It is not strictly necessary to reverse the order of the numbers as shown above, but 102 - 7.5 is more famliar (and thus easier to deal with) than

7.5 - 102.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 7 = 3(x-3)+2

A) infinite solutions

B) One

C) no solutions

Answers

Answer:

-7 = -7

a. infinite solution

HELPOOPPP AND IF YOU DONT GET IT RIGHT I REPORT

Answers

Answer:

(-4,2)

Step-by-step explanation:

Answer:

(-4,2)

Step-by-step explanation:

hope this helps

How would you solve the equation -13=-5║n║

Answers

Answer:

-13/5

Step-by-step explanation:

which expression is the additive invers of -5/8
A. 8/5
B.5/8
C. -5/8
D. -8/5

Answers

Answer:

c because it came by its formula

the inverse of negative is positive, so given that
you can see that -5/8 is negative
so the only one which is the opposite is b
5/8

it’s the same thing just in the inverse

Can someone maybe help me on number 6 and 7?

Answers

6) the answer is 39
7) the answer is 22

Sixty tickets at $70 each cost

Answers

Answer:

60x$70=$4100

Step-by-step explanation:

ekdjnsjs

Answer:

60 x 70= 4200$

Step-by-step explanation:

60

70   x

_____

(jk no need to do this just multiply them this way,because there are zeros just multiply 6 and 7 which equals 42 then add the zeros which are equal to= 4200$