Find the recursive definition of the following sequence (Remember to define the first term t, the recursive rule to find tn,and the value n will start at) 120, 60, 20, 5, 1

Answers

Answer 1

Answer:

  t[1] = 120; t[n] = t[n-1]/n, n ≥ 2

Step-by-step explanation:

The first two terms have a ratio of 1/2. The next two terms have a ratio of 1/3. The terms after that have a ratio of 1/4. It seems that the divisor increases as n increases. In fact, the n-th term is the previous one divided by n.

The first term is 120, so ...

  t[1] = 120

Using the above-described rule, ...

  t[n] = t[n-1]/n . . . . for n ≥ 2


Related Questions

Which one is greater 43/50 , 0.91 , 7/8 , 84%

Answers

Answer:

0.91

Step-by-step explanation:

43/50 = 0.86

7/8 = 0.875

84/100 = 0.84

Answer:

0.91

Step-by-step explanation:

.91 is already solved so there is nothing to do there.

Convert 43/50 by multiplying the top and bottom by 2 and you get 86/100, and when you convert that to its decimal, you get 0.86.

For 7/8, multiply the top and bottom by 125 and you get 875/1000. When you convert that, you get 0.875.

For 84 percent, just convert it to 0.84 and you are done.

Therefore, the biggest one is 0.91

One summer, an ice cream truck driver sold 381 Popsicles and 76 ice creams. How many treats did the driver sell in all?

Answers

The answer is 457 because when you add 381 and 76 together you get 457

Dustin looks around at an assembly. He notices his younger sister to his right and his older brother 4.1 feet ahead of him. If Dustin's brother and sister are 8.8 feet apart, how far apart are Dustin and his younger sister? If necessary, round to the nearest tenth.

Answers

Answer:

So the answer would probably be 4.8 feet?

Step-by-step explanation:

today everything at a store is on sale the store offers a 20% discount the discount price of a hat is $18 what is the regular price

Answers

Answer:

$20

Step-by-step explanation:

Can someone plz help with 21?? Thanks!

Answers

Answer:

4) -11.3...

Step-by-step explanation:

distribute both sides to get (1/6)x - (4/3) = (4/15)x - (1/5)

move the variables to one side and the constants to the other: ((4/15) - (1/6))x = (-(4/3) + (1/5))

simplify to get (1/10)x = (-17/15) multiply everything by 10 to get x=-34/3 or -11.33333333333333333...

Answer:

option 4

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] ([tex]\frac{1}{4}[/tex] x - 2) = [tex]\frac{1}{5}[/tex] ([tex]\frac{4}{3}[/tex] x - 1) ← distribute parenthesis on both sides

[tex]\frac{1}{6}[/tex] x - [tex]\frac{4}{3}[/tex] = [tex]\frac{4}{15}[/tex] x - [tex]\frac{1}{5}[/tex]

Multiply through by 30, the LCM of 6, 3, 15, 5

5x - 40 = 8x - 6 ( subtract 8x from both sides )

- 3x - 40 = - 6 ( add 40 to both sides )

- 3x = 34 ( divide both sides by - 3 )

x = - [tex]\frac{34}{3}[/tex] = - 11.333..

A?
B?
C?
D?
Who ever is right gets brainlest<3

Answers

Answer:

i think that the answer is b

hope it helps

When you find the square root of 140 your answer would be D

The number m of miles a long-distance cyclist travels during today's ride can be modeled by the function m(t)=11t+55, where t represents the number of hours since a noon rest stop.
b. Interpret the slope and y-intercept
c. The cyclist can only ride until 6:00 PM. Identify the domain and range of the function.

Answers

Step-by-step explanation:

m(t) = 11t + 55

the slope is always the factor of the variable, so here the slope is 11.

since t is the number of hours riding (after the noon rest stop), the slope (11) is actually the mean speed the rider is going (after the noon rest stop) : with every hour riding the cyclist goes another 11 miles, so this speed is 11 mph.

the y-intercept is the m value when t = 0, because here in our example y (the result variable) is renamed m.

it is here 55.

t = 0 means no time riding yet, so 55 is the "starting value" of the function. that means that the cyclist traveled already 55 miles earlier that day before the noon rest stop.

the cyclist can only ride until 6pm. but we don't know how long the noon rest stop is (i.e. when he continues riding after the rest stop).

so I need to make some assumptions :

the mean speed (11 mph) after lunch break, and the y-intercept (55) suggest to me that the cyclist was riding 5 hours before the stop (5×11 = 55), and will also ride 5 hours after the stop (= from 1pm to 6pm).

if this is wrong, and the cyclist starts at e.g. 12pm, then please just adjust the following numbers accordingly.

but here again, I am assuming the cyclist will go from 1pm to 6pm (for 5 hours).

the domain is the interval or set of all valid values of the input variable (here t) : all real numbers in [0 .. 5].

the "timer" starts at 0 right at the end of the noon test stop. and then the cyclist can go max. 5 hours. and I assume any part of an hour is valid, so we use real numbers instead of e.g. whole numbers.

the range is the interval or set of all valid values of the result variable (here m) : all real numbers in [55 .. 110].

for t = 0 we have m = 55. and this goes continuously up with t until t = 5, leading to 11×5 + 55 = 55+55 = 110.

Which of the following fractions is equivalent to 1/7?
1. 3/28
2. 1/14
3. 4/28
4. 3/14

Answers

Answer: 3, 4/28

Step-by-step explantation: 1 x 4 is 4, and 7 x 4 is 28. Therefore, 1/7 is equal to 7/28.

The answer is number 3 which is 4/28 is equivalent to 1/7

A movie screen has an area of 162 square meters and a perimeter of 54 meters. What are the dimensions of the screen?

____meters by ___ meters

Answers

Answer:

18 meters by 9 meters (or 9 meters by 18 meters)

Step-by-step explanation:

lets say the dimensions are x and y. we have x*y=162, and 2x+2y=54. from the second equation we have x+y=27 so y=27-x. plug this into the first equation to get x(27-x)=162 or -x^2 + 27x = 162. x^2 - 27x + 162 = 0. simplify to get (x-18)(x-9)=0. so x=18 or x=9. when x=18, y=9, when x=9, y=18 so the dimensions are 18 by 9 meters

Plz help
Find ‘x’ & ‘y’

Answers

Answer:

x=20. y=15

Step-by-step explanation:

in similar triangles the sides are all in proportion. this means:

[tex] \frac{25}{5} = \frac{x}{4} = \frac{y}{3} [/tex]

[tex] \frac{25}{5} = 5[/tex]

so:

[tex] \frac{x}{4} = 5[/tex]

x=5×4

x=20

and...

[tex] \frac{y}{3} = 5[/tex]

y=3×5

y=15


[tex]8a⁴ × (9a)⁴ [/tex]

find the value of it
8a⁴ × (9a)⁴ ​

Answers

8a⁴ × (9a)⁴= 8a⁴ × 9⁴a⁴= 8a⁴ × 6561a⁴[tex]= (8 × 6561) a ^{4 + 4} [/tex][tex]= 52488 a ^{8} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

The number of feet in an unknown
number of yards. Let b = the variable.
Algebraic expression:

Answers

There are 3feet in one yard.

Let B = number of feet

Let Y = number of yards

B = 3Y

NEED HELP ASAP GEOMETRY QUESTION 20 POINTS!!!!​

Answers

Answer:

X= 12

Step-by-step explanation:

Under her cell phone plan, Janelys pays a flat cost of $46.50 per month and $5 per gigabyte. She wants to keep her bill under $70 per month. Write and solve an inequality which can be used to determine g, the number of gigabytes Janelys can use while staying within her budget.

Answers

Answer:

Less than 4.70 GB

Step-by-step explanation:

Let x = # of GB that Janelys uses that month. Since Janelys wants to pay less than $70 given that the flat rate for subscribing to that company's data per month is $46.50 and each GB costs $5 to use, the inequality can be written as:

5x + 46.50 < 70

5x < 23.50                        Subtract $45.60 from each side.

x < 4.70 GB                       Divide 5 from each side.

Thus, (if it is whole numbers) Janelys can use 4 GB while staying within her budget or (if decimals are fine) anything less than 4.70 GB. Hope this helped! :D

I’ll give 100 points

Answers

Answer:

cant even see the screen good

Step-by-step explanation:

2055

I think cuz when u substitute 170 min for x which is min and solve u get 2055

(feet) y = 8.19(170) + 663

y = 1392.3 + 663

y = 2055.3 (round to nearest WHOLE number)

y = 2055 ft

hope this helps!

The quadrilaterals JKLM and PQRS are similar.
Find the length x of RS.

Will mark brainliest!

Answers

The measure of side x equivalent to RS is 42

Similar shapes are shapes that have both their sides and angles to be equal.

Since both quadrilaterals JKLM and PQRS are similar, we will take the ratio of the sides as shown;

4/24 = 7/x

1/6 = 7/x

Cross multiply

x = 42

Hence the measure of side x equivalent to RS is 42

Learn more on similar shapes here: https://brainly.com/question/12960403

pls help me on this im stuck

Answers

Answer:

44 or B

Step-by-step explanation:

Look at comments above

44cm is the correct answer

Un padre preocupado por motivar a su hijo en Matemáticas, se compromete a darle 1 euro por problema bien hecho, mientras que, si esta mal, el hijo le devolverá 0,5 euros. Después de realizar 60 problemas, el hijo ganó 30 euros. ¿Cuántos problemas resolvió correctamente?

Answers

Answer:

good morning I have any questions or need anything from the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer

The son solved 40 problems correctly out of the 60 problems he attempted.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's denote the number of problems the son solved correctly by "x".

According to the problem, for each correct problem, the son earns 1 euro, and for each incorrect problem, he loses 0.5 euros.

Now,

Total earnings = 1 euro (x) - 0.5 euros (60 - x)

Simplifying this expression.

Total earnings = 1.5x - 30

We are given that the son won 30 euros in total, so we can set up the equation:

30 = 1.5x - 30

Solving for x.

1.5x = 60

x = 40

Therefore,

The son solved 40 problems correctly out of the 60 problems he attempted.

Learn more about expressions here:

https://brainly.com/question/3118662


#SPJ2

The complete question.

A father concerned about motivating his son in Mathematics agrees to give him 1 euro for a problem well done, while if it is wrong, the son will return 0.5 euros. After doing 60 problems, the son won 30 euros. How many problems did you solve correctly?

4 x 50 = 200
So why we do 8 divide 200 here we can just write 4 x 50 =200 ?

Answers

Answer:

You can! It's just a matter of personal choice.

Step-by-step explanation:

Hector is rewriting the expression 7 Superscript 11 in expanded form. How many terms will be multiplied in his rewritten expression? 2 7 11 12

Answers

Answer:

11

Step-by-step explanation:

Plz help me give me answer

Answers

Answer:

3

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Help!!!! 100 POINTS (FIRST CORRECT ANSWER GETS BRAINLIEST)

Answers

Answer:

14x+4

Step-by-step explanation:

5x+5x+2x+2x+3+3-1-1

5x+5x+2x+2x=14x

3+3-1-1=4

14x+4

Plzzzz help meeee plzzzzzs

Answers

The answer is b because they are both the same length

[tex]\sf \sqrt{12} \times \sqrt{12}[/tex]

Answers

Answer:

[tex]12[/tex]

Step-by-step explanation:

[tex]\sqrt{12} \times\sqrt{12}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a,\:\quad \:a\ge 0[/tex]

[tex]\sqrt{12}\sqrt{12}=12[/tex]

[tex]=12[/tex]

The value of [tex]\sqrt{12} * \sqrt{12}[/tex] is equal to 12

To solve this problem, we have to convert the surds to radicals and then use the law of indices on this.

[tex]\sqrt{12} * \sqrt{12}= 12^\frac{1}{2} * 12^\frac{1}{2}[/tex]

Addition Law of Indices

This law is given as

[tex]a^m+a^n = a^(^m^+^n^)[/tex]

let's substitute the values in this question.

[tex]12^\frac{1}{2}*12^\frac{1}{2}[/tex]

Let's apply the law and solve the radical

[tex]12^\frac{1}{2}*12^\frac{1}{2} = 12^(^\frac{1}{2}^+^\frac{1}{2}^)\\[/tex]

Solve the fractions

[tex]\frac{1}{2}+\frac{1}{2}=1[/tex]

substitute the values and solve

[tex]12^\frac{1}{1}=12[/tex]

from the calculations above, the value of the radical is 12.

Learn more on laws of indices here;

https://brainly.com/question/10339517

PLEASE HELP I"LL GIVE BRAINLEST

Carl solves 12 multiplication problems for every 4 addition problems. If he solves 23 addition problems, how many multiplication problems does he solve?

46 multiplication problems

92 multiplication problems

69 multiplication problems

54 multiplication problems

Answers

Answer:

92         4× 23

Step-by-step explanation:

sorry if im incorrect

Answer:

Carl solves 69 multuplication problems

Write 8% as a fraction or mixed number in simplest form.

please help me

Answers

The simplest form of fraction for 0.8 is 4/ 5.

what is the slope of the line?

Answers

Answer:

5/3

Step-by-step explanation:

Use rise over run

it goes up five and goes right three.

If it were to go to the left it would be negative

Same rules apply if it were to go down it would be negative

5/3. It goes up five and over three. Use rise over run

Samuel bought a cement mixer for $54,205. The value of the cement mixer depreciated at a constant rate per year. The table shows the value of the cement mixer after the first and second years: Year 1 2 Value (in dollars) 47,158. 35 41,027. 76 Which function best represents the value of the cement mixer after t years? f(t) = 47,158. 35(0. 87)t f(t) = 54,205(0. 13)t f(t) = 47,158. 35(0. 13)t f(t) = 54,205(0. 87)t.

Answers

The value of cement mixer after t year is [tex]f(t) = 54,205(0. 87)^{t}[/tex]

Given to us

The value of cement mixer when bought, [tex]P[/tex]= $ 54,205

the value of cement mixer after 1 year, [tex]P_1[/tex]=   $ 47,158. 35

the value of cement mixer after 2 year,[tex]P_2[/tex]=  $ 41,027. 76

To find out depreciation we can use the formula for depreciation,

[tex]P_n= P(1-r)^n\\where,\\P_n= Value\ of\ asset\ after\ n\ year\\P= Value\ of\ asset\ when\ bought\\r= rate\ of\ depreciation\\n= number\ of\ years[/tex]

By putting the value, in the formula we get,

[tex]P_1= P(1-r)^n\\\\47,158.35= 54,205\times (1-r)^1\\\\\dfrac{47,158.35}{54,205} = (1-r)\\\\0.87=1-r\\\\r=0.13[/tex]

Therefore, putting the value of [tex]r[/tex] and [tex]P[/tex] in depreciation formula for [tex]t[/tex] years we get,

[tex]P_n= P(1-r)^n[/tex]

[tex]f(t) = 54,205(0. 87)^{t}[/tex]

Hence, the value of cement mixer after t year is [tex]f(t) = 54,205(0. 87)^{t}[/tex].

To know more visit:

https://brainly.com/question/3023490

Which answer best describes the system of equations shown in the graph?



A. Consistent and dependent

B. Inconsistent

C. Not enough information

D. Consistent and independent

Thanks.

Answers

Answer:

A. Consistent and dependent

Answer:

D. Consistent and independent

Step-by-step explanation:

A. Consistent and dependent = two lines that overlap with each other so they have infinite solutions (ex. y = 4x and 4y = 16x equal the same thing)

B. Inconsistent = parallel lines that will NEVER meet each other, so no solution (y = 4x and y = 4x + 1 have the same slope so the steepness of the two lines is the same - they will NEVER have at least 1 point intersecting)

C. Not enough information - incorrect because there are two lines on a graph, and that is enough info to solve

D. Consistent and independent = two lines with EXACTLY ONE SOLUTION (ex. y = 4x + 3 and y = 2x + 2 have exactly one point that overlaps)

extrano a mi sobrina, what does the underlined word mean

Answers

Answer:

I miss my niece

Step-by-step explanation:

it's the meaning of that hope U get it ...

Other Questions
Several vivid descriptions of the sea occur in this poem. Find your favorite. Copy it below and explain why it is your favorite. HELP, ILL GIVE BRAINLSTImagine that you have been asked to do an infomercial for a new sous vide tool. You are instructed to not only explain how the tool works but what some of the benefits of this cooking method are. Write a brief script that you could use for this infomercial. Before the ci Wat the Souther states seceded from the United States of Amenca They became down as the collect Sales of America. In other words they became a confederationAre the where was a period of construction in the South Carpetbaggers tried to profit financially during this time What is a confederation? A) a group of carpetbaggersB) the act of secedingc) a union of states or nationsD) a time of rebuilding please i need help ASAP!!! Describe the error in finding the measure of the angle. whadt is the first and second quotient of 1178 divided by 31 Can i get some help :: a) Given that sin x =cos x , find the value of tan x .b) Find the values of x in the interval 0x bobby has two poatatos he wants more so he pick 100 mor he sharees them amongst three friends EQUALY how many poatatos does each friend get? Help help help math math help At a football stadium, 10% of the fans in attendance were teenagers. If there were 30 teenagers at the football stadium, what was the total number of people at the stadium?Insert the values given in the problem then scale up or down to find the missing value. help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help answer this pleaseEeeeeeee Help me pretty please I really need help with this. Solve for x plsss I need the answer ASAP plsss What is the value of x Which part of the brain is responsible for consciousness? Identify two inventions made during the second industrial revolution. Cul es el objetivo de la argumentacin escrita?What's the objective of written argumentation? What is m% of n?? Helpp please