A sequence has the recursive definition f(1)= 2/3, f(n)= f(n-1)•
3/2 for n > 2

Write the first 5 terms of the sequence. Keep the answers as fractions.

Answers

Answer 1
Answer:

Explanation:

f(3) = (3 - 1) • 3/2
f(3) = 2 • 3/2
f(3) = 3

f(4) = (4 - 1) • 3/2
f(4) = 3 • 3/2
f(4) = 9/2

f(5) = (5-1) • 3/2
f(5) = 4 • 3/2
f(5) = 6

f(6) = (6-1) • 3/2
f(6) = 5 • 3/2
f(6) = 15/2

f(7) = (7-1) • 3/2
f(7) = 6 • 3/2
f(7) = 9

Related Questions

Kenji is decorating papers with a total of 15 heart stickers and 12 star stickers for the child he is babysitting. If he wants to make all the papers identical, with the same combination of heart and star stickers and no stickers left over, what is the greatest number of pages Kenji can decorate?

Answers

Answer: The greatest number of pages Kenji can decorate = 3

Step-by-step explanation:

Given: Total heart stickers = 15

Total star stickers =12

If all the papers identical, with the same combination of heart and star stickers and no stickers left over.

Then the greatest number of pages Kenji can decorate = GCD(15,12)  [GCD=greatest common divisor]

Since 15 = 3 x 5

12=2 x 2 x 3

GCD(15,12) =3

Hence, the greatest number of pages Kenji can decorate = 3

Suppose there are 28,200,000 small businesses in the economy today. Twenty-five percent of those businesses have no employees. What is the number of businesses in the economy with no employees?

Answers

Answer:

the number of businesses with no employees is 7,050,000

Step-by-step explanation:

The computation of the number of businesses in the economy have no employees is shown below:

Given that

There are a total of 28,200,000

Out of which 25% of those businesses have no employees

So, the number of businesses in the economy is

= 28,200,000 × 25%

= 7,050,000

Hence, the number of businesses with no employees is 7,050,000

Joseph deposits $950 every month into an account earning a monthly interest rate of 0.5%. How much would he have in the account after 19 months, to the nearest dollar?

Answers

Answer:

I think, 18,058 dollars.

Step-by-step explanation:

Please Help!!!!!!!!!!
Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is 2/5?
line n, with slope -5/2
line m, with slope 5/2
line p, with slope 2/5

Answers

Answer:

Step-by-step explanation:

n is perpendicular. - 1/(2/5) = - 5/2. n is the negative reciprocal of the given line.

m is neither.

p is parallel to the given line. For example y = 2/5x

and y = 2/5 x + 9  are parallel to each other.

What is the solution to 34x+85=3(13x+7)

Answers

Answer:

x=12.8

Step-by-step explanation:

34x+85=39x+21

34x-39x=21-85

-5x = -64

x = -64/-5

x = 12.8

Answer:

x = 34/5

Step-by-step explanation:

Just solve the equation

[tex]34x + 85 = 3(13x + 17)\\34x + 85 = 39x + 51\\85 - 51 = 39x - 34x\\34 = 5x\\x = 34/5[/tex]

What would be the height of 1000 Canadian Dimes?

Answers

A 48 inch TV hdhsbsbdj

The height of 100 Canadian dimes is 1220 millimeter.

What is a expression? What is a mathematical equation? What is Equation Modelling?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have 1000 Canadian dimes.

Assume that the height of 100 Canadian dimes is [x] mm. Then, we can write -

[x] = 1000 x 1.22

[x] = 1220 mm

Therefore, the height of 100 Canadian dimes is 1220 millimeter.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

Please help I need help fast

Answers

Answer:This problem asks how many groups of 1/3 are in 4.

Quotient :12

Step-by-step explanation:

please help me in this question​

Answers

Answer:

30

Step-by-step explanation:

use Pythagoras theorem at first to find the third side of the triangle it will come 5

then use the formula to find the area of triangle

A=(5x12)/2=30cm2

Q4. Find the range, standard deviation, and variance for the following sample data:
33, 55, 29, 40, 8, 90, 61, 41, 17, 80, 56, 17, 59, 21,78
plz answer this!

Answers

Answer:

40 I think but no I think

If 10 cm on a map represents 25 km of actual ground, how many centimetres would 45 km of actual ground be on a map?

Answers

Answer:

The answer would be 20cm.

What would this be? PS it's multiple choice.

Answers

Answer:

I think it would be A. the first one

Step-by-step explanation:

tell me if it was correct if it wasnt im sorry hope i dont mess u up

PLEASEEE HELPPPP ASAPPPPP

Answers

Answer:

70

Step-by-step explanation:

For f(-4)=5(2-3(-4))=5(2+12) because - times - makes +

Therefore 5x2=10 + 5x12=60

10+60=70

tony is making gift bags for his friends. he has 6 bags and places 9 gifts into each bag .how many gifts did he place in the bags

Answers

Answer:

6 x 9 is 54

Step-by-step explanation:

54 bags because, it says each so your multiplying.

what are the domain and the range ​

Answers

Answer:

Domain 1,3,5,7,9,11

Range 5,6,7,8,9,10

what is simplified expression for the expression below? 4(x+8)+5(x-3)

A) 9x+5
B) 9x+11
C)9x+17
D) 9x+47

Answers

4(x+8)+5(x-3)

4x+32+5x-15

9x+17

The answer is CCCCCCCC

Solve.

25 ‒ (‒ 42) =

A.
67
B.
17
C.
‒17
D.
‒67

Answers

A because when subtracting with a negative the subtracting sign and the negative sign cancel out causing the subtract sign and negative number to switch to positive so after that you just add the two numbers 25+42 which is 67

Answer:

You are Correct!!!

Step-by-step explanation:

1/2 (X+6)= 18 what is the value of x ​

Answers

Answer:

The absolute value for x would be 30

X=30

Prove that ABCD is a rectangle.
A = (-4, 4)
B = (0,5)
C = (1, 1)
D = (-3,0)

Answers

Answer:

Draw it on a graph sheet

The easiest way to prove it is to show it on a graph paper

[tex]28-(3x+4)=2(x+6)+x[/tex]

Answers

Answer:

-47

Step-by-step explanation:

A plumbing company charges $35 per hour plus a $25 travel charge for a service call. Another plumbing company charges $40 per hour for a service call with no travel charge. Solve the equation 35h+25=40h to find how many hours h a service call must be for the two companies to charge the same amount.



__ hour(s)

Answers

Answer:

5 hours

Step-by-step explanation:

35h + 25=40h

implies 25=40h-35h

25=5h

dividing both sides by 5,

h=5

can you guys help me with this?? 11 points and brainly. pleaseee and thank uuu!!

Answers

Answer:

Graph A fails the vertical line test

Step-by-step explanation:

The vertical line test will fail when a vertical line touches two or more points on the graph

Graph A will fail the vertical line test.  The y axis touches two points on the graph.

The four Western provinces cover about 2/7 of Canada's area. Alberta covers about 1/14 of Canada's area. What fraction describes how much of Canada's area is covered by British Columbia, Manitoba, and Saskatchewan? Explain

Answers

Answer:5/14

Step-by-step explanation:if you're just combining them all 2/7 is equal to 4/14 and add that to the existing 1/14 so 4/14+1/14=5/14 total area covered

What is being done to the variable in the equation 3 + g = -9? The number 3 is being subtracted from it. The number 3 is being added to it. The number -9 is being subtracted from it. The number -9 is being added to it.

Answers

Answer:

the number 3 is being subtracted from it because you want to get by itself

Oil prices are projected to increase by 75% by next May. A quart of oil currently costs $2.15. What is the projected cost of a gallon of oil next May? Round your answer to the nearest hundredth.

Answers

Answer:

Future cost per gallon= $15.05

Step-by-step explanation:

Giving the following information:

Oil prices are projected to increase by 75% by next May. A quart of oil currently costs $2.15.

We know that 1 quart equals 0.25 gallons.

First, we will determine the actual cost per gallon.

Actual cost per gallon= 2.15*4= $8.6

Now, the cost for May:

Future cost per gallon= 8.6*1.75

Future cost per gallon= $15.05

Answer:

15.05

Step-by-step explanation:

Joan wants to start an IRA that will have $860,000 in it when she retires in 29-years. How much should she invest annually in her IRA to do this if the interest is 8% compounded annually?

Answers

Answer:

Annual deposit= $8,271.94

Step-by-step explanation:

Giving the following information:

Future Value (FV)= $860,000

Number of periods= 29 years

Interest rate= 8% = 0.08

To calculate the annual deposit, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (860,000*0.08) / [(1.08^29) - 1]

A= $8,271.94

how do you turn 0.03 into a fraction if the 3 is repeating​

Answers

Answer:

it is 1/30

Step-by-step explanation:

Lets say x =0.03 repeating

100x=3.3333....

-  10x=0.333....

_____________

90x=3

Then divide both sides by 9 to get x:

x=3/90

simplify:

x=1/30

what is 1.54x10^21 in scientific notation

Answers

Answer:

Scientific notation: 1.54 x 10^21

Scientific e notation: 1.54e21

Real number: 1540000000000000000000

The manager of a summer camp has 14 baseballs and 23 tennis balls. The manager buys some boxes of baseballs with 12 baseballs to a box and an equal number of boxes of tennis balls with 16 tennis balls to a box. Write an expression to represent the total number of balls. PLEASE PLEASE HELP I NEED IT DONE TONIGHTTT

Answers

Answer:

u want full equation?

Step-by-step explanation:

Answer

baseballs:14+12n

tennies balls: 23+16n

14+12n+23+16n

14+23+12n+16n

(14+23)+(12n+16n)=37+28n

(n= the number of boxes of each type)

Step 1: We write expressions for the total number of baseballs and tennis balls

Step 2: We find an expression fr the total number of balls:

We combine the above expressions:

We use the Commutative Property:

We combine like terms:

( the answer is 37+28n)

At a birthday party pizzas and sodas were purchased for the kids. The number of sodas bought was two more than three times the number of pizzas. Pizzas cost $9.50 each and sodas cost $1.25 each. (c) A total of $68.75 was spent on pizza and sodas at the party. Let n be the number of pizzas purchased. Set up an equation involving n that models the scenario. Solve it and state both the number of pizzas and the number of sodas that were bought.

Answers

Answer:

5 pizzas and 17 sodas were bought

Step-by-step explanation:

Here, we want to get the number of pizza and sodas bought

Let n be the number of pizzas bought

we are told that the number of sodas bought was 2 more than 3 times the number of pizzas

So the number of sodas will be;

3n + 2

So let’s have the equations based on the prices;

pizzas cost $9.50, soda cost $1.25

Thus;

9.5n + 1.25(3n + 2) = 68.75

9.5n + 3.75n + 2.5 = 68.75

13.25n = 68.75 - 2.5

13.25n = 66.25

n = 66.25/13.25

n = 5

Number of pizzas bought is 5

number of soda is 3n + 2 = 3(5) + 2 = 15 + 2 = 17

What is x and y ?

I’ll give brainliest!

The options are on the side of the screen/triangle..

Answers

Answer:

I'm pretty sure x is 3

Step-by-step explanation:

Other Questions
Function 1: Alan starts with $30 this week. He spends $5.30 per week. Let y be the amount remaining as a function of the number of weeks, X. 0 30 1 24.70 2 19.40 3 14.1 Have you ever been left out? How did it make you feel125 words or more = A(50/50) What is kinetic energy? A. the energy an object has due to its motion B. the energy derived from chemical reactions C. the energy an object has due to its position D. the energy an object releases as heat Please select the best answer from the choices provided. A B C D Ill give brainly I dont even know which subject this goes in lol ANYBODY THERE???????? I NEED URGENT HELP PLS AND I WILL GIVE YOU 18 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!PLS ANSWER FOR ME NEED HELP ASAP!!! 4. How many genes control most traits? Please Help And Hurry!! (WORTH 20 POINTS)Solve5h 15 + 7h = 40(Sorry if this is easy I'm bad at math) I really strive the latest styles and trends (to wear / wearing) PLEASE HELP ASAP 80 POINTS!!!! Theresa volunteers at a food sheif. when she started, there were 213 oranges. After filling X bags of three oranges each, there were fewer than 51 oranges left. How many bags of oranges did Theresa fill?Write an expression in terms of X for the number of oranges that Theresa bagged.Part B: Write an expression in terms of X for the number of oranges that are left (have yet to be bagged).Part C: Write an inequality using the expression from Part B to represent this scenario.Part D: Solve the inequality for the variable X. Use opposite operations on both sides of the inequality until you get X on one side of the inequality by itself.Part E: Did you have to flip the inequality sign? Explain why or why not.Part F: What does the result from Part D tell you about Theresa's situation? Does the answer make sense? Explain.Part G: Think about graphing the inequality you found in Part D on a number line. What would it look like?Choose the correct number:1. open circle on 54 and arrow pointing right2. open circle on 54 and arrow pointing left3. closed circle on 54 in arrow pointing right4. closed circle on 54 and arrow pointing left Audra recently earned her associates degree and is looking for a job. Her resume lists her strengths in a separate section. Some of these strengths are outlined below:Strong math skillsComputer skills including spreadsheet programsAttention to detailCritical thinking skillsBackground in economicsWhich career is Audra best suited for?AccountantData EntryMarketing ManagerAuditing Clerk 4x-3=2x+7 solve the equation Due to unexpected circumstances, you take out a loan for $5,000 to pay for a lawyer. You agree to pay it back over the next 5 years at a rate of 22.5% (because your credit score is really really low). At the end of the 5 years, how much did this "unexpected circumstance" end up costing you in all? What is the quotient of -3/8 And -1/3? Simplify this fraction (multi choice) The figure is cut into 6 equal pieces. shade 2/3 of the figure Diego lives 1/2 miles from school.What is 50% of 1/2 Use the substitution method to solve the system of equations. Choose th correct ordered pair. y = 8x - 4 x = 4 A. (2. 12) OB. (4, 28) C. (4, 4) D. (2.4) what are most of the needed formulas to find the molar volume and the molar concentration (Cm) 11th grade chemistry Read this key passage from Just Ask Him. What is the best statement of the writers claim?One gender role has been slow to change, however: the idea that a woman ought not to ask a man out on a date. This deeply ingrained belief, held by young and old, perpetuates the notion that initiating a relationship is the sole domain of the male. It also fosters the idea that a woman should be a passive participant in her own romantic life, and that she is an object to be chosen. It ignores the progress society has made in equalizing gender roles. 9 3/4 as a percent step by step