Express the terms of the following sequence by giving an explicit formula.

9, 12 15, 18, 21

A. u(n) = n + 3, where n = 1, 2, 3, 4, . . .
B. u(n) = 6 + 3n, where n = 1, 2, 3, 4, . . .
C. u(n) = 3 + n, where n = 1, 2, 3, 4 . . .
D. u(n) = 3n, where n = 1, 2, 3, 4, . . .

Answers

Answer 1

Answer:

B.

Step-by-step explanation:

The common difference is + 3 so we have an arithmetic sequence.

u(n) = a1 + d(n - 1)

= 9 + 3(n - 1)

= 9 + 3n - 3

= 6 + 3n.


Related Questions

Which of the following points below represents (- 2, - (5pi)/4) the polar grid?

Answers

Answer:

Well, when we have a point in rectangular coordinates (x, y) and we want to write it in polar coordinates (r, θ) the rule we use is:

r = √(x^2 + y^2)

θ = Atg(Iy/xI) + 90°*(n - 1)

where n is number of the quadrant where our point is.

For example, if we are on the second quadrant, we use n = 2.

Now, if instead, we have the point (r, θ) and we want to rewrite it in rectangular coordinates, then the transformation is:

x = r*cos(θ)

y = r*sin(θ)

Now we have the point (- 2, -(5pi)/4) because the first part is negative, this number can not be in polar coordinates (r can not be negative) then we have:

x = -2

y = -(5*pi)/4

Using the first relation, we can find that:

r = √( (-2)^2 + (-5*3.14/4)^2) = 4.4

(rememer that the point (- 2, -(5pi)/4) is on the third quadrant, then we will use n = 3.)

θ = Atg(-(5*pi)/4/-2) + 90°*(3 - 1)= Atg((5*pi)/2) + 180° = 82.7° + 180° = 262.7°

Then the point that represents  (- 2, - (5pi)/4) in polar coordinates is the point:

(4.4, 262.7°)

If instead of degrees, the angle part is written in radians, we have:

180° = 3.14 radians.

262.7° = x radians.

then:

x/3.14 = (262.7)/180

x =  3.14*(262.7)/180 = 4.58 radians.

then the point will be:

(4.4, 4.58 radians)

The table represents an exponential function.

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, two-fifths, StartFraction 2 Over 25 EndFraction, StartFraction 2 Over 125 EndFraction.

What is the multiplicative rate of change of the function?

Answers

Answer:

b. x/8 + x/16 = 3/4

4 miles

Step-by-step explanation:

edge

DON AND 3 FRIENDS SHARE 2 sandwiches at lunch which equation can be used to find out how much sandwich each person gets at the sandwich are shared equally
A. X= 4÷2
B. X= 2 ÷4
C. X= 1÷3
D. X= 1÷4​

Answers

Answer: B. x = 2/4

Reason:

The thing they need to share are the sandwiches (y), where x is the amount of sandwich per person, so that goes in the equation first.

4/2 is 2 so that doesn’t make sense.

C isn’t an option because there are 4 people in this word problem. Don and his 3 friends = 4.

D isn’t right because there’re 2 sandwiches, not 1.

For the test, Ben knows that writing a poem will take him 30
minutes while writing a paragraph will only take him 10 minutes.
Ben will have 2 hours to complete the test. Which inequality best
matches the situation?
30x + 107 > 2
o 30+10y < 120
o 30% + 10% < 2
30% + 10y > 120

Answers

Answer:

30+10y < 120

Step-by-step explanation:

At $.54 for a dozen oranges, what will 7 1/2 dozen cost?

Answers

Answer: $4.05
Explanation: you multiply 7 1/2 time .54

a bag contains 3 red balls 3 green ball and 1 blue ball.a ball is chosen at random and then placed back in the bag. a second ball is chosen at random. Find the probability that :a) the first ball is red?​

Answers

Answer:

its a three out of seven then it stays the same

Step-by-step explanation:

Simplify (0.24) × (-0.15)

Answers

Answer:

0.036

Step-by-step explanation:

Answer:

0.24 x 0.15 = 0.036

Step-by-step explanation:

First ignore the decimal points so you have 24*15 = 360.

You have to start at the right, and move the decimal point 4 places. So, you get 0.036. Pls give brainliest.

HELP PLS IM CRYING I NEED IT PLSS ANSWER IT PLSSSSS

Answers

Answer:

C) 4k-24

A)10x+15x

Step-by-step explanation:

Heidi earns $11.50 per hour plus a bonus of $105 for the week. Her goal is to earn $650 for the week. Which equation
represents the number of hours, h, Heidi will have to work to reach her goal?

Answers

Answer:

48 hours

Step-by-step explanation:

$650 - $105 = $545

$545 ÷ $11.50 = 47.39 = 48 hours (Rounded)

which has a greater quantity 50% or 30%​

Answers

Answer:

50%

Step-by-step explanation:

50% is half of a quantity, while 30% is less than half.

Answer:

..

50% is greater than 30%

Step-by-step explanation:

ooooo

Please correct answer

Answers

Answer:

14.333 yards

516 inches

Answer:

3) 43 ft = 14.33 yards and 516 inches.

Step-by-step explanation:

43 ft = ? yards

Divide 43 by 3: 43 ÷ 3 = 14.33 yards

43 ft = ? inches

Multiply 43 by 12: 43 × 12 = 516 inches

If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).

Answers

Answer:

The value of f(3) = -2.

Step-by-step explanation:

First of all, let's find f(2).

[tex]f(n+1)=f(n)^{2}-3[/tex]

[tex]f(1+1)=f(1)^{2}-3[/tex]

[tex]f(2)=f(1)^{2}-3=2^{2}-3=1[/tex]

Now, we can find f(3):

[tex]f(2+1)=f(2)^{2}-3[/tex]

[tex]f(3)=f(2)^{2}-3=1^{2}-3=-2[/tex]

Therefore, the value of f(3) = -2.

I hope it helps you!

The selling prices on
distributed with a mean of $221,000 and a standard deviation of $30,000.

Answers

What? I didn’t find a answer sorry

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•

Do 4x and 15+x have the same value when x is 5

Answers

Answer:

Yes!

Step-by-step explanation:

4x5= 20

15+5= 20

Solve the inequality
10<3x+19

Answers

Answer:

The answer is ->

x>-3

Benjamin bought a 3-pound bag of flour for $6.95. What is the unit price per ounce of flour? (1 pound = 16 ounces)

Answers

Answer:

The unit price per ounce of flour is

Step-by-step explanation:

We can first change the 3 pound bag into ounces which is just 3x16=48 we can do this because 1 pound=16 ounces. Now we know there are 48 ounces so we divide 6.95/48

Which is .144791666...

An equation of a line through (-1, 1) which is parallel to the line y = 5x + 1 has slope:
and y-intercept at:

Answers

Answer:

The slope is 5 and the y-intercept is at (0, 6)

Step-by-step explanation:

Parallel lines have the same slope, so the slope of the equation is 5. The equation is y = 5x + 6, so the y-intercept is 6.

At a bake sale, the soccer team had 50 packs of cookies to sell. At the end of the sale, they had 5 packs left.
What FRACTION of the cookies were sold?

Answers

Answer:

45/50= 9/10

Step-by-step explanation:

If 5 packs were left after the sale, then 50-5=45 is the number of packs sold

Then the fraction sold would be the number of packs sold divided by the total number of packs.

45 sold/50 total

NEED THIS ASAP Solve each inequality and graph its solution

Answers

Answer:

x>22

Step-by-step explanation:

hope this helps

5.
There are 5,000 tickets available for a concert. The percent of available tickets belonging to
each type of ticket is shown in the circle graph.
Ticket Types
Platinum
2%
Club
8%
Floor
16%
Upper
level
44%
Lower
level
30%
What total number of tickets is available at the club, platinum, and floor levels?

Answers

Answer:

The answer is 1,300 tickets.

Step-by-step explanation:

If you add 2%+8%+16%= 26%  26% of 5,000 is 1,300.

Answer:

1300

Step-by-step explanation:

platinum: 2%+club: 8%+ floor: 16%=26%

[tex]\frac{26}{100}[/tex]×[tex]\frac{5000}{1}[/tex] =1300

             

The value of a painting has a growth factor of 107. The current value of the painting is $345. How much was it orginally worth when you purchased it 10 years ago

Answers

Answer:

70$

Step-by-step explanation:

HELPPP DUE IN FEW MINS ILL GIVE BRAINLESS

Answers

Answer:

C. Find the sum of all the values and then divide by the number of values

Step-by-step explanation:

2/3 + 1 1/10 as a fraction

Answers

Answer:

Decimal Form:1.766666...

Mixed Number Form: 1 23/30

Exact Form:53/30

Step-by-step explanation:

help me please im slow

Answers

It's just a black screen for me

I can't see because theirs no question

4.0681 to the nearest thousand

Answers

4.068 is the answer to it

The Bayesian statistician Bruno de Finetti (1906–1985) began his 1973 book on probability theory with the declaration: "PROBABILITY DOES NOT EXIST." The capitals appeared in the original, so I imagine de Finetti wanted us to shout this statement. What he meant is that probability is a device for describing uncertainty from the perspective of an observer with limited knowledge; it has no objective reality. Discuss the globe tossing example from the chapter, in light of this statement. What does it mean to say "the probability of water is 0.7"?

Answers

Answer:

It means that if we select a random point around the globe, there is a 70% = 0.7 probability that it represents water.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

We know, that the planet Earth is formed 70% by water, and the globe represents this. This means, as the statement says, the if we select a random point around the globe, there is a 70% = 0.7 probability that it represents water.

find x and round to the nearest tenth

Answers

Answer and Step-by-step explanation:

22ft = x (c)

20ft = y (b)

18ft = z (a)

Plug into equation.

[tex]22^{2} = 20^{2} + 18^{2} - 2(20)(18)cosC (X)\\\\484 = 724 - 720cosC\\\\-240 = -720cosC\\\\\frac{1}{3} = cosC\\\\cosx^{1} (\frac{1}{3} ) = C\\\\C = 70.5288\\\\[/tex]

C ≈ 70.5 is the answer.

ASAP PLS HELP WILL MARK BRAINLIEST!!

Answers

Answer:

The lines intersect at (-2,2).

Step-by-step explanation:

The line has an y intercept of 1 and a slope of -1/2 so after graphing the both of them thats where they intersect.  

is 2 a factor of 84?​

Answers

Answer:

yes

Step-by-step explanation:

Factors of 84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84

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