How do you do these questions?

Answers

Answer 1

Step-by-step explanation:

(a) Fₙ₋₁ > 0, so Fₙ₊₁ > Fₙ. Each term is bigger than the one before it, so the function is increasing, meaning the series will diverge to infinity.

(b) Fₙ₊₁ / Fₙ = (Fₙ + Fₙ₋₁) / Fₙ

Divide.

Fₙ₊₁ / Fₙ = 1 + (Fₙ₋₁ / Fₙ)

Rewrite the second fraction using negative exponent.

Fₙ₊₁ / Fₙ = 1 + (Fₙ / Fₙ₋₁)⁻¹

Take the limit of both sides as n approaches infinity.

lim(n→∞) Fₙ₊₁ / Fₙ = 1 + lim(n→∞) (Fₙ / Fₙ₋₁)⁻¹

Substitute with φ.

φ = 1 + φ⁻¹

Solve.

φ² = φ + 1

φ² − φ − 1 = 0

φ = [ -(-1) ± √((-1)² − 4(1)(-1)) ] / 2(1)

φ = (1 ± √5) / 2

Since the ratio can't be negative:

φ = (1 + √5) / 2

Related Questions

What is the phenomenon that many types of data analysis become significantly harder as the dimensionality of the data increases? a. The Curse of Dimensionality b. The Phenomenon of Reduction c. The Curse of Reduction d. The Phenomenon of Dimensionality

Answers

Answer:

a. The Curse of Dimensionality

Step-by-step explanation:

The phenomenon that refers to this is known as the Curse of Dimensionality. This phenomenon is basically the specific complications that only occur when dealing with far larger data sets that contain various dimensions, while these complications do not exist in smaller and less complex data sets. The larger the data set tends to get, the more complications arise. This is usually solved with Dimensionality reduction which shrinks the data sets by targeting specifics of the data and separating it.

In the figure shown, r l l s

Answers

I think it’s B because if <2 is congruent to <6, <6 would equal 146 degrees. <6 and <7 are supplementary, which means they add up to 180 degrees since they form a straight line. If <6 is 146 degrees, <7 would have to be 34 degrees.

Which pair of numbers has the greatest common factor of 3?

3 and 12
3 and 33
4 and 9
9 and 12

Answers

Answer: 9 and 12

Step-by-step explanation:

Answer:

9 and 12

I HOPE IT WILL HELP YOU?:-)

which is a linear function

Answers

Answer:

Step-by-step explanation:

a linear function will always have a constant rate of change.

It’s a constant rate but it changes

A group of friends spent 52.50$ on 6 movie tickets. Write an equation to represent the cost, c, per movie ticket, t.

Answers

Answer: 8.75t = c

Step-by-step explanation: 52.5/6 = 8.75 so 8.75$ per ticket.

Find the midpoint of the segment with the following endpoints. (5,4) and (1,7)

Answers

Answer: wait one sec

Step-by-step explanation:

Answer:

(3,5.5)

Step-by-step explanation:

(x₁+x₂) (y₁+y₂)

-------- --------

2 2

5+1 7+4

6 11

------ ------

2 2

(3, 5.5)

4. I am a multiple of 3, 4, 5, and 6. I am a factor of 120. Divided by 7, l leave a remainder of 4. Who am I?

Answers

Answer:

Step-by-step explanation:

Taking the LCM of 3, 4, 5 and 6 leaves us with;

LCM = 1 * 2 * 3 * 2 * 5

= 60

Since Dividing 60 by 7 leaves quotient 8 and remainder 4,

We know that we've found the number we're looking for.

Two cars are traveling in the same direction. The first car is going 40mph, and the second car is going 55 mph. The first car left 3 hours before the second car. Which equation could you use to find how many hours it will take for the second car to catch up to the first car? hint: how many miles has the first car gone in those 3 hours?

Answers

Assuming both cars start at the same position, in the first 3 hours the first car covers a distance of

(40 mi/h) (3 h) = 120 mi

Take the 3 hour mark to be the origin, so that the first car's position after t hours is

120 mi + (40 mi/h) t

while the second car's position is

(55 mi/h) t

The second car catches up to the first when their positions are equal:

120 mi + (40 mi/h) t = (55 mi/h) t

120 mi = (15 mi/h) t

t = (120 mi) / (15 mi/h)

t = 8 h

The figures below are scaled copies. Identify the corresponding parts.

Answers

Answer:

a. ∠U

b. ∠D

c. WX

d. ST

Step-by-step explanation:

3 square feet divided by 1/7 ft

Answers

Answer: 6.4008

Step-by-step explanation:You can use the Calculator EX clap.

Could it be zero? 4(x+2)=10
2. 12-8x=3(x+4)

Answers

Answer:

1) x=0.5

2 x=0

Step-by-step explanation:

Question No. 1

4(x+2)=10

4x+8=10

4x=2

x=0.5

Question No. 2

12-8x=3(x+4)

12-8x=3x+12

8x-3x=12-12

5x=0

x=0

Bruce walks 2/3mile in 1 .4hour. What is his speed in miles per hour? Show your work.

Answers

Answer:

10/21 or 0.476 miles per hour

Step-by-step explanation:

If you divide 2/3 by 1.4 (or 14/10), you will get miles per hour.

2/3 ÷ 14/10 = 2/3 x 10/14 = 20/42 = 10/21 = 0.476

Help me ASAP please

Answers

from what I remember from what my teacher taught me was that its nonlinear. I'm 98% sure its nonlinear

I'm am so sorry if I get it wrong. I'm apologizing ahead. if you want you can get the points back I dont mind because I feel bad when I get things wrong but I'm pretty sure its non linear

Solve
8(12 - k) = 3(k + 21)
Please help! I am confused with some signs.

Answers

Answer: k = 3

Step-by-step explanation:

U first expand

96 - 8k = 3k + 63

Then u add 8k from both sides

96 = 3k + 63 + 8k

then u simplify

3k + 63 + 8k to 11k + 63

then u subtract 63 from both sides

96 = 11k + 63

Then u simplify 96 - 63 to 33

33 = 11k

Then u divide both sides by 11

33/11 = k

then u simplify 33/11 to 3

3 = k

and last u switch the sides

k = 3

Carly spends $5 for n notebooks. Write an algebraic expression to represent the cost of one notebook.

Answers

Answer:

vfgvygfvygybgybgybgybvgybgyvbg

Step-by-step explanation:

cvbnhbvcxzcdfvgbhjkhnfgvcdxsdfggvbgfvygf

Answer:

5÷n

Step-by-step explanation:

5÷n will tell you how much it is for each notebook

Mary is the manager of a new clothing shop. The shop located in a new shopping mall and Mary wants to estimate the average daily demand for her clothes. From her own experience, she believes that the mean daily demand of her clothes in this region should be greater than or equal to 100. She is going to perform a survey to test this claim and the result will be used to decide how many clothes should be maintained every morning in order to satisfy the customers' needs. (a) What is the implication of Type I error in this case? (b) What is the implication of Type II error in this case? (c) Which type of error is more significant (important), for Mary, in this case?

Answers

Explanation:

a) First, note that the Type I error refers to a situation where the null hypothesis is rejected when it is actually true. Hence, her null hypothesis would be H0: mean daily demand of her clothes in this region should be greater than or equal to 100.

The implication of Type I error in this case is that Mary rejects that the mean daily demand of her clothes in this region is greater than or equal to 100 when it is actually true.

b) While, the Type II error, in this case, is a situation where Mary accepts the null hypothesis when it is actually false. That is, Mary accepts that the mean daily demand of her clothes in this region is greater than or equal to 100 when it is actually false.

c) The Type I error would be important to Mary because it shows that she'll be having a greater demand (which = more sales) for her products despite erroneously thinking otherwise.

-3 divided by 1/6 =
1. 18
2. -18
3. -2
4. -1/2

Answers

Answer:2. -18

Step-by-step explanation:

Which equation has the correct sign on the product?
O A. (-11)9 = 99
B. (-12)(-12) = 144
C. 25(-5) = 125
D. 17.3 = -51

Answers

C. 25(-5) = 125 this is the answer

Answer:

B. (-12)(-12)=144 Hope that helps

Step-by-step explanation:

Answer please I’ll give you branliest

Answers

Trueeeeeeeeeeeeeeeeeeeeeeeeeeereeeeeeeeeeee

Can anybody graph y= —2x + 5.

Answers

Answer:

The y-intercept is 5 so that is where it will start then just keep going down by 2 since the slope is (-2)

hope this helps =3

A car gets 27 mile per gallon of gas. How far will it go on 12 gallons?

Answers

Answer:

324

Step-by-step explanation:

4) Cindy works part-time and earns $5.75 an hour. One week she worked
38 hours, How much money did she earn in that one week

Answers

Answer:

$218.50

Step-by-step explanation:

5.75×38=218.5

turn into dollars $218.50

If you multiply 5.75 by 38 hours it’ll give you 218.5 so Cindy earned $218.5

Two requirements to be employed within a certain company are that you must be at least 18 years of age and have had more than one job-related work experience. Write and graph two inequalities that represent the requirements.

Answers

Answer:

Step-by-step explanation:

x≥18 and x>1 are the inequalities which represents certain company are that you must be at least 18 years of age and have had more than one job-related work experience.

What is Inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

Given,

A certain company are that you must be at least 18 years of age

Let x be the age of employees.

x must be at least 18 years of age.

x≥18

We use ≥ symbol when atleast is used, which means it can be 18 or more than that.

Now employees more than one job-related work experience

Let x be the work experience.

x>1

Here we use > because its given that it should be greater than 1.

Hence, x≥18 and x>1 are the inequalities which represents certain company are that you must be at least 18 years of age and have had more than one job-related work experience.

To learn more on Inequality click:

https://brainly.com/question/28823603

#SPJ2

What is the solution for this inequality?
8x<-32

Answers

Answer:

8x<-32

x<4

Step-by-step explanation:

divide both of these numbers by 8

Step-by-step explanation:

rhrufh38299917489xjqgs8cjrnjci

5X+17=7 PLEASE HELP FAST

Answers

Answer:

x = -2

Step-by-step explanation:

5X + 17 = 7

subtract 17 each side

5x + 17 - 17 = 7 - 17

divide 5 both sides

5x = -10

5x/5 = -10/5

x = -2

The solution of expression is,

⇒ x = - 2

We have to given that;

The expression is,

⇒ 5x + 17 = 7

Now, We can simplify as;

⇒ 5x + 17 = 7

Subtract 17 both side,

⇒ 5x = 7 - 17

⇒ 5x =- 10

Divide by 5;

⇒ x = - 10/5

⇒ x = - 2

Thus, The solution of expression is,

⇒ x = - 2

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

Find two consecutive even integers
such that twice the larger is 14 less
than 5 times the smaller.

help me

Answers

You can set up a system of equations with x being the smaller number and y being the larger number. So the first equation would be 2y=5x-14 and the second equation would be x=y-2. You can solve by substitution and substitute y-2 into the x in the first equation to get 2y=5(y-2)-14. You can solve this out and it ends up simplifying to y=8. So you know the larger number is 8. So since the larger number is 8 and they are consecutive even integers, the smaller number must be 6. So the two numbers would be 6 and 8.

The T.V.'s original price was $420. It was on sale for 40% off. What is the sale price?

Answers

Answer:

252.00

Step-by-step explanation:

Answer

For a discount of 40% The T.V. would be selling for $252

Step-by-step explanation:

40% Of $420 is $168, $420 - $168 is $252.

Solve It! The area of a rectangular solar panel is given by the trinomial below.
x^2+7x+12

The height of the solar panel is given by the binomial below.
x+3

What is an expression for the length of the panel?

A.x^2+6x+9

B.x+3

C.x^2+3

D.x+4

Answers

Answer:

im not sure hmu if gets answered

Step-by-step explanation:

Which is not a classification for AFGH?
A acute
C isosceles
B scalene D equiangular
/60
H

Answers

Answer:

Step-by-step explanation:

washewepshepshepshepshep

Answer: Yup A.........

baby weighs 4kg when born. at 6 months it weighs m kg. write expression for the weight gain of baby over 6 months

Answers

Answer:

gsgdysbdhydsh jz jsjsjeueheyshsusjdhhdjdhdud7

Step-by-step explanation:

hsgshshhshjsjshsjsnseusjsuusjdhddhdydhdhshhsus hjdshsdjdjusisisos kejhfkzbudhuedje3hxue26r2ztedstzvy

Answer:

Wiki Biki Kiki mc mf you

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