The first four terms in a sequence, and the rules that define
them, are shown below.
a1 =4
a2 = 2a1 + 3
a3 = 2a2 + 3
a4 = 2a3 + 3
What is the value of a4, the fourth term shown in the
sequence above?
A 35
B 41
C 25
D 53

Answers

Answer 1

Answer: D. 53    [tex]a_{4}=53[/tex]

Step-by-step explanation:

[tex]a_{1}=4\\a_{2}=2(a_{1})+3\\a_{3}=2(a_{2})+3\\a_{4}=2(a_{3})+3[/tex]

[tex]a_{2}=2(a_{1})+3\\a_{2}=2(4)+3\\a_{2}=8+3\\a_{2}=11[/tex]

[tex]a_{3}=2(a_{2})+3\\a_{3}=2(11)+3\\a_{3}=22+3\\a_{3}=25[/tex]

[tex]a_{4}=2(a_{3})+3\\a_{4}=2(25)+3\\a_{4}=50+3\\a_{4}=53[/tex]


Related Questions

t+50=130 so wat is t

Answers

t= 115, subtract the 50 on both sides

Find angle 1. Explain steps if possible.

Answers

Answer:

m=105

Step-by-step explanation:

The employment status (employed or unemployed) of each individual in the U.S. workforce is a set of data that is of interest to economists, businesspeople, and sociologists. To obtain information about the employment status of the workforce, the U.S. Bureau of the Census conducts what is known as the Current Population Survey. Each month interviewers visit about 59,000 of the 98 million households in the United States and question the occupants over 14 years of age about their employment status. Their responses enable the Bureau of the Census to estimate the percentage of people in the labor force who are unemployed (the unemployment rate).

Answers

Question Completion:

(a) Identify the experimental unit.

(b) Define the population of interest to the Census Bureau.

(c) Identify the sample.

(d) What variable is being measured? Is it quantitative or qualitative?

(e) Describe the statistical inference that the economists intend to make.

Answer:

a. The experimental unit is the households visited.

b. The population of interest to the Census Bureau is all US-based individuals aged 14 and above.

c. The sample is 59,000 households.

d. The variable under measure is quantitative (percentage estimate of people in the labor force who are unemployed).

e. The economists want to make a statistical inference of the unemployed population based on the sample data analysis that they conduct.

Step-by-step explanation:

a) Data and Calculation:

Population of interest = 98 million households

Sample from population = 59,000 households

b) The unemployment rate is the percentage of the total workforce of a country that is unemployed and who may be actively seeking employment at a particular period.  This implies that the unemployment rate may include persons who are active members of the workforce but may be underemployed.  

Which Venn diagram correctly describes the relationship between Set R and Set W

Answers

Answer:

Which Venn diagram correctly describes the relationship between the set of integers and the set of whole numbers A. are integers, because all whole numbers. B. number and integers have no elements in common because the whole

Cesar bought lunch at school. He had a sandwich and a drink that cost ​$12. His drink cost ​$3.50. Solve the equation 12=s+3.50 to find the cost of ​'s ​sandwich, s.

Answers

Answer:

$8.50

Step-by-step explanation:

          12=s+3.50

     -3.50    -3.50

       8.50=s

Which of the following equations represents the graph shown?

Answers

the following graph represents f(X)=X+2

Answer:

f(x)= -x+2

Step-by-step explanation:

the line is going down so it's -x and it's up 2 from the origin

Graph g(x) = f(x) + 2

Answers

Answer:

You cannot graph this equation. So there is no solution.

The answer is no solution

Step-by-step explanation:

7n + 14 = -21 what is n

Answers

Answer:

n = -5

Step-by-step explanation:

7n + 14 = -21

Subtract 14 from each side

7n + 14-14 = -21-14

7n = -35

Divide each side by 7

7n/7 = -35/7

n = -5

The graph below represents the amount of water measured in a swimming pool as a function of time.?



As time increases, the amount of water in the pool increases.
As time decreases, the amount of water in the pool decreases.
As time increases, the amount of water in the pool decreases.
As time decreases, the amount of water in the pool increases.

Answers

Answer:

As time increases, the amount of water in the pool decreases.

Step-by-step explanation:

PLS HELP!! A student randomly guesses the answers to two true-false questions. Describe and correct the error in finding the probability of the student guessing both answers correctly. The student can either guess two incorrect answers, two correct answers, or one of each. So the probability of guessing both answers correctly is 1/3

Answers

Answer:

The student was wrong. The probability is actually 1/4.

Step-by-step explanation:

Let's say you have question A and question B. You could have incorrect on A, and incorrect on B. Or, you could have incorrect on A, but a correct on B. Or, you could have an incorrect on B, but a correct on A. Or, both could be correct. Since there are 4 different possibilities, the actual probability is 1/4.

Please help ASAP!!!!
In your own words, describe how to optimize a function given a set of constraints.

Answers

the free encyclopedia. In mathematical optimization, constrained optimization (in some contexts called constraint optimization) is the process of optimizing an objective function with respect to some variables in the presence of constraints on those variables.

Write a linear equation where the y-intercept is 3
and the slope of the line is 2

Answers

Answer:

Y= 2x + 3

Step-by-step explanation:

You start with y. then add the slope respresented by x( 2x). Then add the intercept( 3)

the circumference of a circle if the diameter if 22

Answers

Step-by-step explanation:

✻ [tex] \underline{ \underline{ \sf{Given}}} : [/tex]

Diameter of a circle ( d ) = 22

✻ [tex] \underline{ \underline{ \sf{To \: find}}}: [/tex]

Circumference of a circle ( C )

❅ [tex] \underline{ \underline{ \sf{Solution}}}: [/tex]

⇢ [tex] \boxed{ \sf{Circumference \: of \: a \: circle ( C ) \: = \: \pi d}}[/tex]

⇢[tex] \sf{ \frac{22}{7} \times 22}[/tex]

⇢[tex] \sf{69.14 \: units}[/tex]

[tex] \blue{ \boxed{ \boxed{ \underline{ \tt{⟿ \: Our \: final \: answer : 69.14 \: units}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ツ

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In the equation z + 4 = 44, what is the next step in the equation solving sequence?

Answers

Answer:

subtract 4

isolating the variable (z)

Step-by-step explanation:

z=40

The stock of company A gained $1.32 throughout the day and ended at a value of $34.32.By what percentage did the stock rise?

Answers

Answer:

s erghnsmergse,me,rg,smergserg

Step-by-step explanation:

Answer:

4%

Step-by-step explanation:

The stock of Company A gained $1.32 throughout the day and ended at a value of $34.32. By what percentage did the stock rise?

\text{New value: }\$34.32

New value: $34.32

\text{Old value: }34.32-1.32=\$33.00

Old value: 34.32−1.32=$33.00

33(1+r)=34.32

33(1+r)=34.32

\frac{33(1+r)}{33}=\frac{34.32}{33}

33

33(1+r)

=

33

34.32

1+r=1.04

1+r=1.04

r=0.04

r=0.04

Subtract 1

\text{The stock gained 4}\%

The stock gained 4%

Multiply by 100

ive been at this for abt 30 min. help?

Answers

Answer:

[tex]1+\frac{-63}{x^2-1}[/tex]

Step-by-step explanation:

If you foil this equation you will get:

[tex]\frac{(x+8)(x-8)}{(x+1)(x-1)}[/tex]

And by dividing it, you will get;

[tex]1+\frac{-63}{x^2-1}[/tex]

That is your answer!

Mary is cutting strips of paper for a craft project. Each strip is of a sheet of paper. Mary has of a sheet of paper left to cut. She wants to determine how many more strips of paper she can cut from what is left. HELP HURRY PLEASEEE

Answers

There is no "right" answer, you need to explain the question more.  

Columbia Mirror and Glass pays Frank Griffin $2570 monthly salary plus a 6% commission on merchandise he sells each month. Assume Frank’s sells were $77,900 last month.

Answers

Answer:

$7244

Step-by-step explanation:

Step one:

Given data

Columbia Mirror and Glass pays Frank Griffin $2570 monthly salary plus a 6% commission.

If sales is $77,900

Required

Frank's take home

Step two

let us find the expression used to determine Frank's take-home pay

let the total be y

y= 2570+ 6/100*77900

y=2570+0.06*77900

y=2570+4674

y=$7244

Which of the following are prime factorizations of the number 28? Check all
that apply.

A. 7,4

B. 2, 2,7

C. 7, 2,2

D. 4,7

Answers

Answer:

C. 7,2,2 is the answer

Step-by-step explanation:

hope i helped

A machine cell uses 204 pounds of a certain material each day. Material is transported in vats that hold 34 pounds each. Cycle time for the vats is about 2.25 hours. The manager has assigned an inefficiency factor of .17 to the cell. The plant operates on an eight-hour day. How many vats will be used

Answers

Answer: 2 Vats will be used

Step-by-step explanation:

using the formula below, the ideal number of Kanban cards can be calculated;

N = (DT × ( 1 + X)) / C

where N is total number of container,

D is panned usage rate of using work Centre

T is Average waiting time for replenishment of parts plus average production for a  container of parts,

X is policy variable set by management that reflects possible inefficiency in the system ,

C is capacity of standard container.

Now, in the question, we were given that;

D = 204 pounds per day  = 204 / 8hrs = 25.5 pounds/hr   { The plant operates on an eight-hour day}

T = 2.25 hrs

X = 0.17

C = 34 pounds each

we substitute

N = (25.5×2.25 × ( 1 + 0.17)) / 34  

N = 67.12876 / 34

N = 1.974375 ≈ 2 Vats

Therefore 2 Vats will be used.

 

PLEASE HELP ME WITH THIS

Answers

Answer:

7=0

Step-by-step explanation:

a part, share, or number considered in comparative relation to a whole.

What is the least common denominator of 5/12 and 1/2

Answers

2 I believe I’m not 100% sure tho

What is the constant of proportionality 7=7.26x

Answers

9514 1404 393

Answer:

  7.26

Step-by-step explanation:

If your equation is ...

  y = 7.26x

the coefficient of x is the constant of proportionality. It is 7.26.

How many times does 11 go into -435 pls dont cheat​

Answers

if you do 435 divided by 11, your answer would be the amount which is not a whole number, it’s 39.5454 and goes on.

but since you said NEGATIVE 435, 11 can’t go into that negative so it’ll be zero.

Answer:

11 can't be divided with negative number

so it's answer will be zero

hope it is helpful to you ☺️☺️☺️☺️☺️

In the figure, solve for x and y.

Answers

Answer:

y=124°

x=67°

Step-by-step explanation:

For the triangle on the right

180-74-50=56°

then y= 180-56=124°

For the triangle on the middle (that small triangle)

180-85(Head opposite angles)-50=45°

So

x=180-45-68=67°

Please help quick ASAP

Answers

Answer is: 9.42cm^3

PLEASE HELP ASAP!!! TIMED

Answers

A, B, and C are all correct.

help now plss !!!!!!!!

Answers

Answer:

Difference: B: 7

Sum: C: 8

Please help please

53
97
What is the measure of angle x?
o 44 degrees
o 180 degrees
• 30 degrees
150 degrees

Answers

Answer:

30 degrees

Step-by-step explanation:

53+97=150

180-150=30

A different aquarium should contain 15,000 liters of water when filled correctly. It will overflow if it gets to 17,600 liters.

One day there is an accident and the tank cracks in 4 places. Water flows out of each crack at a rate of liter per hour. An emergency pump can re-fill the tank at a rate of 2 liters per minute. How many minutes must the pump run to replace the water lost each hour?

Answers

Step-by-step explanation:

How much hours have passed?

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