Answers
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
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.
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
The figures below are scaled copies. Identify the corresponding parts.
Answers
Answer:
a. ∠U
b. ∠D
c. WX
d. ST
Step-by-step explanation:
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
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
Which is not a classification for AFGH?
A acute
C isosceles
B scalene D equiangular
/60
H
Answers
Answer:
A
Step-by-step explanation:
washewepshepshepshepshep
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
Answer:
B. (-12)(-12)=144 Hope that helps
Step-by-step explanation:
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.
A car gets 27 mile per gallon of gas. How far will it go on 12 gallons?
Answers
Answer:
324
Step-by-step explanation:
which is a linear function
Answers
Answer:
B
Step-by-step explanation:
a linear function will always have a constant rate of change.
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.
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:
60
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.
3 square feet divided by 1/7 ft
Answers
Answer: 6.4008
Step-by-step explanation:You can use the Calculator EX clap.
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:
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
5X+17=7 PLEASE HELP FAST
Answers
Answer:
x = -2Step-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:
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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 kejhfkzbudhuedje3hxue26r2ztedstzvyAnswer:
Wiki Biki Kiki mc mf you
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
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
Find two consecutive even integers
such that twice the larger is 14 less
than 5 times the smaller.
help me
Answers
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)
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
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:
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Answer please I’ll give you branliest
Answers
In the figure shown, r l l s
Answers
-3 divided by 1/6 =
1. 18
2. -18
3. -2
4. -1/2
Answers
Answer:2. -18
Step-by-step explanation:
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
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 $218.50
A group of friends spent 52.50$ 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.
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?:-)