Lee has 3 dog walking customers. Each month he gains another customer. Which arithmetic sequence represents the number of customers he has?
Group of answer choices

a1 = 3; an = an-1 + 1

a1 = 1; an = an-1 + 3

a1 = 1; an = an+1 + 3

a1 = 3; an = an+1 + 1

Answers

Answer 1

Given:

Lee has 3 dog walking customers.

Each month he gains another customer.

To find:

The arithmetic sequence that represents the number of customers he has.

Solution:

Initial number of customers = 3

First term : [tex]a_1=3[/tex]

Each month he gains another customer.

Common difference : [tex]d=1[/tex]

Recursive formula of an AP is

[tex]a_n=a_{n-1}+d[/tex]

where, d is common difference.

Substituting d=1, we get

[tex]a_n=a_{n-1}+1[/tex]

So, the required arithmetic sequence is [tex]a_n=a_{n-1}+1[/tex], where [tex]a_1=3[/tex].

Therefore, the correct option is A.


Related Questions

CAN SOMEONE PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

c = 7

d = 5

Step-by-step explanation:

Notice that in the first expression, x^c is inside a square root, and only perfect squares can be extracted from it. On the simplified form shown on the right hand side, we have x^3 outside the root and a single "x" left inside. In order for such to happen (x^3 get outside the root) there must have been an x^6 inside the square root. This together with the sole "x" that was left in the root, totals seven factors of x that should have been originally inside the square root:

x^6 * x = x^7  therefore c was a "7"

In the second expression we have a CUBIC root, so only perfect cubes can get extracted from it. Since there is one factor "x" shown in the simplified form (right hand side of the equal sign), that means that it must have been an x^3 (perfect cube) apart from the x^2 that was left inside the root. This makes the original power of x to be a 3 + 2 = 5.

Therefore d = 5

what is the value of y when x = 43
PLS HELP

Answers

It’s 84. When the x increase, the y increase’s by 2

Answer: 126

Step-by-step explanation:

Because it seems that 3 × 43 =

        2 × 43 = 86 + 43 = 126

Suppose a life insurance company sells a ​$190,000 ​one-year term life insurance policy to a 19​-year-old female for ​$290. The probability that the female survives the year is 0.999563. Compute and interpret the expected value of this policy to the insurance company.

Answers

Answer:

The expected value of this policy to the insurance company is $206.97

Step-by-step explanation:

Probability that Person doesn't die = 0.999563. Profit = Revenue - Cost; Profit = $290 - 0 = $290

Probability that Person dies = 1 - 0.999563 = 0.000437. Profit = Revenue - Cost; Profit = $290 - $190,000 = -$189,710

Expected Value E(X) = ∑xp(x)

E(X) = $290*(0.999563) + (-$189,710* 0.000437)

E(X) = $289.87327 - $82.90327

E(X) = $206.97

Thus, the expected value of this policy to the insurance company is $206.97

a duck swam 10.5 kilometers in 3 hours. how many kilometers per hour did the duck swim

Answers

Answer:

3.5 km

Step-by-step explanation:

its 10.5 divided by 3 to get this answer

plz give me brainliest i need it plz

Select the correct answer.
The number of days, d, it will take Manny to read a book varles inversely as the number of pages, p, he reads per day. If kis the constant of
variation, which equation represents this situation?
OA. d+p=k
OB. dp = k
OC. d= pk
OD. d=p+k

Answers

I Believe B , If It’s Wrong I’m Sorry

The equation represents this situation will be dp = k. Thus, option B is correct.

What is directly proportional?

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called constant of proportionality.

The inversely proportional relationship is denoted by

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

The number of days, d, it will take Manny to read a book varies inversely as the number of pages, p, he reads per day.

If k is the constant of variation.

The equation represents this situation will be

dp = k

Thus, option B is correct.

Learn more about proportional relationship variable here:

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graph 3x-2y=6 how do you graph this in algebra

Answers

Answer:

I don't have algebra but I suggest looking it up and it might show you at the very top.

Step-by-step explanation:

Hope this helps you:)

What are the solutions to the quadratic equation 4(x + 2)2 = 36 x = −11 and x = 7 x = −7 and x = 11 x = −5 and x = 1 x = −1 and x = 5

Answers

Answer:

c

Step-by-step explanation:

edge2020

The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.

Hence, option c) x = -5 and x = 1 is the correct answer.

What is a Quadratic Equation?

Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;

ax² + bx + c = 0

Where x is the unknown

To solve for x, we use the quadratic formula

x = (-b±√(b² - 4ac)) / (2a)

Given that;

4(x + 2)² = 36

4( x(x + 2) + 2(x+2) ) = 36

4( x² + 2x + 2x + 4 ) = 36

4( x² + 4x + 4 ) = 36

4x² + 16x + 16 = 36

4x² + 16x + 16 - 36 = 0

4x² + 16x - 20 = 0

We can further simply ( divide through by 4 )

x² + 4x - 5 = 0

Hence,

a = 1b = 4c = -5

x = (-b±√(b² - 4ac)) / (2a)

x = (-4±√(4² - (4 × 1 × -5)) / (2×1)

x = (-4±√(16 - (-20)) / (2)

x = (-4±√(16 + 20)) / (2)

x = (-4±√(36)) / 2

x = (-4±6)) / 2

Hence

x = (-4-6)) / 2 and x = (-4+6)) / 2

x = -10/2 and x = 2/2

x = -5 and x = 1

The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.

Hence, option c) x = -5 and x = 1 is the correct answer.

Learn more about quadratic equations here: brainly.com/question/1863222

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What is the factored form of x3 + 216?

A.
(x − 6)(x2 + 6x + 36)
B.
(x + 6)(x2 − 6x + 36)
C.
(x + 6)(x2 − 12x + 36)
D.
(x + 6)(x2 + 12x + 36)

Answers

Answer:

now using the formula (a-b) (a2+ab+b2)=a3-b3

=>x3-63

x3-216#answer

The factor of the cubic polynomial x³ + 216 will be (x + 6) and (x² – 6x + 36). Then the correct option is B.

What is a factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The cubic polynomial is given below.

⇒ x³ + 216

Then the cubic polynomial is written as,

⇒ x³ + 6 × 6 × 6

⇒ x³ + 6³

We know that the formula of a³ + b³ is given as,

a³ + b³ = (a + b)(a² – ab + b²)

Compare the expression, we have a = x and b = 6. Then the expression will be

x³ + 6³ = (x + 6)(x² – 6x + 6²)

x³ + 6³ = (x + 6)(x² – 6x + 36)

The factor of the cubic polynomial x³ + 216 will be (x + 6) and (x² – 6x + 36).

Then the correct option is B.

More about the factorization link is given below.

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What is the equation of the line that passes through the point (4, -8) and has a
slope of -12

Answers

The equation is Y=-12x+40

Write an equation for the line that goes through point (-1,4) and is parallel to the
line y = 2x - 9

Answers

Answer:

y = 2x + 6

slope = 2

y intercept = 6

Divide 3 divided by 2/5

7

7 1/5

7 1/2

8

Answers

uhhh 0.3 or 1.2 lol hope this helps

Anthe answer is x times (6)7x10)-1(3)

Step-by-step explanation:

Which point represents the value of –(–2) on the number line? A number line has points A, negative 3, B, blank, 0, blank, C, 3, D. Point A Point B Point C Point D

Answers

Answer:

it is C

Step-by-step explanation:

The point that represents the value of -(-2) is point C.

Option C is the correct answer.

We have,

The value of –(–2) is equivalent to 2.

On the number line, the point that represents the value of –(–2) is Point C, which is located at position 2.

This is because when we negate a negative number, it becomes positive.

Therefore, –(–2) is equal to 2.

Thus,

The point that represents the value of -(-2) is point C.

Learn more about number line here:

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The product of two numbers is 16/3 if one of the number is 48/5 what is the other one?

Answers

Answer:

The other number is 5/9.

Step-by-step explanation:

16/3 = 48/5 * x

x = 5/9

Which graph shows a proportional relationship between the number of hours of renting a boat and the total amount spent to rent the boat?

Answers

Answer:

Its B

Step-by-step explanation:

1. Write an expression for 8 less than 2
times a number.

Answers

Answer:

8<2x

Step-by-step explanation:

Answer:

8<2x

Step-by-step explanation:

I hope this helped! :D

The difference in y-values between the coordinates of two points on a line is called the

Answers

Terms in this set (7)
The RISE is the VERTICAL distance between the two points on the graph. ... The slope 'm' of a line passing through points (x₁, y₁) and (x₂, y₂) is the ratio of the difference in the 'y' coordinates to the corresponding difference in the 'x' coordinates.

The difference in y-values between the coordinates of two points on a line is called the Rise.

The difference in y-values between the coordinates of two points on a line is called the rise or vertical rise. Or The rise is the vertical distance between the two points, which is the difference between their y-coordinates.

The difference in the x-values of two points on a line is called the run.

Slope of line is given by,

[tex]m=\dfrac{rise}{run}[/tex]

Hence,The difference in y-values between the coordinates of two points on a line is called the Rise.

For more details follow the link:

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Graph the linear equation 4x+9y=36 solving for y

Answers

Answer:

y=4-4/9x x=9-9/4y

Step-by-step explanation:

jyEahahhhhh

Find the minimum sample size you should use to assure that your estimate of pÌ will be within the required margin of error around the population p. Assume the Margin of error is 0.08 with a confidence level of 95%. From a prior study, pÌ is estimated to be 0.2.

Answers

Answer:

The minimum sample size required is 97.

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The margin of error for this confidence interval is:

[tex]MOE=z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The information provided is:

[tex]\hat p=0.20\\MOE=0.08\\\text{Confidence level}=95\%[/tex]

The critical value of z for 95% confidence level is, z = 1.96.

Compute the minimum sample size required as follows:

[tex]MOE=z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

[tex]n=[\frac{z_{\alpha/2}\cdot\sqrt{\hat p(1-\hat p)}}{MOE}]^{2}\\\\=[\frac{1.96\times \sqrt{0.20(1-0.20)}}{0.08}]^{2}\\\\=96.04\\\\\approx 97[/tex]

Thus, the minimum sample size required is 97.

Rewrite the expression in the form b^n

Answers

Answer:

b 15/4

Step-by-step explanation:

Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket?

-$6.75
-$9.00
-$12.00
-$27.00

Answers

Answer: 27.00

Step-by-step explanation:

$50 - $23 = $27

Answer:

$27.00

Step-by-step explanation:

"D"


2(5x−2)− 2x -2 =34
Solve for x

Answers

X equals five my guy

what is 0.44×(−534) ??

Answers

Answer:

−234.96

Step-by-step explanation:

Hope its the right answer that you're looking for :)

6. What is the equation in slope-intercept form for the graph shown?
A) y + x = −2
B) y = 2x + 1
C) y – 2x = 1
D) y = –2x + 1

Answers

d, the rise over run method -2/1 and the y intercept is 1

Which multiplication expression is equal to 2/5÷2/3?

Answers

Answer:

2/5 × 3/2

I hope this helps!

Moses is solving the problem below.

A box of spaghetti at the grocery store is purchased for $1.60 wholesale and is marked up by 60 percent. Then, the store marks down the item by 20 percent. A customer wants to buy three boxes of spaghetti. How much will the customer pay, including paying 8 percent sales tax? Round your answer to the nearest cent.

Look at the table below.

Steps
Moses’s work
Step 1
1 dollar and 60 cents (1.6) = 2 dollars and 56 cents
Step 2
2 dollars and 56 cents (0.80) = 2 dollars and 5 cents
Step 3
2 dollars and 5 cents (3) = 8 dollars and 20 cents
Step 4
8 dollars and 20 cents (1.08) = 8 dollars and 86 cents

In which step did Moses first make a mistake in his work?
Step 1
Step 2
Step 3
Step 4

Answers

Answer:

2.21184 or 2.212

Step-by-step explanation:

step 1: 1 dollar and 60 cents (1.6) = 2 dollars and 56 cents is false

Answer:

Step 3

Step-by-step explanation:

I took a quiz and got it right

question below please answer

Answers

Answer:

the awenser  is D

Step-by-step explanation:

took the test lolz

can someone help me

Answers

11. Is 121° I’m working on other ones

For all numbers x, f(x) = 3x + 3. What is the value of
f(3)?

Answers

12
Plug three into the equation 3(3) + 3 =12

Eric went on a 11,150km trip. he travelled the firsy 7574 kilometre by train and the rest of the trip by car. if he took 12 days to complete the second part of his trip by car, what was the mean distance he drive each day ?

Answers

Answer:

298

Step-by-step explanation:

please make brainest thx

The laptop was marked down from $895 to $720

Answers

that’s a good deal if i do say so myself.
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