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

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

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

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

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

Answers

Answer:

-47

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

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:

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]

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

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)

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.

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.

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

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

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:

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

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 are the domain and the range ​

Answers

Answer:

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

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

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 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:

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

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:

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:

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

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

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

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

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 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

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

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