Solve a0 = 0, a1 = 1 and an = an−1 + an−2 + 2n , for n ≥ 2. Hints: This one involves a lot more algebra than the problems above. Solving the homogeneous problem will involve using the quadratic formula. The characteristic roots turn out to be 1 ± √ 5 2 (but show the work!). For a particular solution, try an = A2 n . You should find A = 4 (but show the work!). Put those two pieces together to write down the general solution an = A( (1 + √ 5 )/2 )^n + B( (1 − √ 5)/ 2 )^n + 4(2^n ) and the determine the values for A and B by using the two initial conditions, a0 = 0 and a1 = 1. The necessary arithmetic will be somewhat complicated, but not impossible.

Answers

Answer 1

Answer:

Hi yes ik I'm not that good at math but wouldn't it be

a n=1∗1 n =1


Related Questions

Factor -9y - 3 with a negative GCF

Answers

Answer:

-3(3y-1)

Step-by-step explanation:

−9y−3

Factor out 3.

3(−3y−1)

Rearrange Terms.

-3(3y-1)

X times 3+6 when X equals four

Answers

Step-by-step explanation:

4 x 3 + 6

12 + 6

= 18

or

4 x (3+6)

4 x 9

= 36

depends whether the 3+6 is in brackets :)

Answer:

if x = 4

then,

4 (3 + 6)

12 + 24

= 36

Depends whether they are in brackets but usually i would consider it in this problem.

Without the brackets would be:

4 x 3 + 6

12 + 6 = 18

Need help with math homework

Answers

The radius for the first question is approximately 23.5

(2x-3)/4 + (2x-5)/6= 1/2

Answers

Answer:

Step-by-step explanation:

making all terms have a common denominator of 12

(3(2x-3)+2(2x-5))/12=6(1)/12 now the 12s cancel out

3(2x-3)+2(2x-5)=6

6x-9+4x-10=6

10x-19=6

10x=25

x=2.5

find m<1 in the rhombus below

Answers

Answer:

[tex] m \angle \: 1 = 120 \degree[/tex]

Step-by-step explanation:

Given figure is of a rhombus.

Measures of the opposite angles of a rhombus are equal.

Therefore,

[tex]m \angle \: 1 = 120 \degree[/tex]

Factorise the following.​

Answers

Answer:

This is your answer

The Arc Electronic Company had an income of 7676 million dollars last year. Suppose the mean income of firms in the same industry as Arc for a year is 9090 million dollars with a standard deviation of 77 million dollars. If incomes for this industry are distributed normally, what is the probability that a randomly selected firm will earn more than Arc did last year

Answers

Answer:

0.9772 = 97.72% probability that a randomly selected firm will earn more than Arc did last year

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Suppose the mean income of firms in the same industry as Arc for a year is 90 million dollars with a standard deviation of 7 million dollars.

This means that [tex]\mu = 90, \sigma = 7[/tex]

What is the probability that a randomly selected firm will earn more than Arc did last year?

Arc earned 76 million, so this is 1 subtracted by the pvalue of Z when X = 76.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{76 - 90}{7}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

1 - 0.0228 = 0.9772

0.9772 = 97.72% probability that a randomly selected firm will earn more than Arc did last year

Pls help! How do i Graph 4y = -3x - 8. explain the steps

Answers

Answer:

Step-by-step explanation:

to make a graph, when you have the equations, as you do,  just make up a table of some x coordinates,  you get to choose which ever ones you want so pick some easy ones,   like - 2,-1 , 0, 1, 2  .. then put each of those numbers into your equations as the x ... one at a time, ofc,   and see what you get out for y.  then you have the y coordinate of your table  

when you have your table then you can plot each of the points,  if you use the Demos  web site graphing tool you can make the graph on your computer , or use a graph paper.    

:)

Find an equation of the line whose slope in 5/2 and whose x intercept is -3

Answers

Answer:

5/2 x -3

Step-by-step explanation:

You invested $101 and received $106.05 after one year.what was the interest rate?

Answers

The person below me is true

Solve for x

I don’t have much time pls help. Round to the nearest hundredth

Answers

tan37=x:31
x=31*tan37
x=23.36

(-1) + 1 = 0 is which inverse​

Answers

Answer:

Heya mate....

Step-by-step explanation:

This is ur answer....

--> ADDITIVE INVERSE!

Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0. The properties of additive inverse are given below, based on negation of the original number. For example, x is the original number, then its additive inverse is -x.

Hope it helps you,

mark me brainliest pls.....

Follow me! :)

Drag up the correct symbol to make the following relationships true.

Answers

Answer:

1. <

2.>

3.>

Step-by-step explanation:

A restaurant wants to study how well its salads sell. The circle
graph shows the sales of salads during the past few days. If 5 of
the salads sold were Caesar salads, how many total salads did
the restaurant sell?

Answers

Answer:

25

Step-by-step explanation:

20 : 100 = 5 : x

x = (5 x 100) / 20 = 25

Melissa's mother bought . pounds of strawberries to make strawberry
smoothies. She estimates that she will need of a pound of strawberries for
each smoothie. How many smoothies can she make with the strawberries she
bought?

Answers

Answer:

depends on the ammount

Step-by-step explanation:

A boat starts at a point A. It travels a distance of 7 km on a bearing of 135° to point B. From B it
travels 12 km on a bearing of 250° to point C. Using a scale of 1 cm:1 km, draw a diagram to show
these bearings and journeys.

Answers

Answer:

c.using scale of 1 cm:1km draw a diagram

If m= 3 in the equation 2m=4-n, find the value of n.​

Answers

Answer:

-2

Step-by-step explanation:

n=-2
explanation: since m=3 replace m with 3 to multiply it with 2. 2(3)=6 so the equation now is 6=4-n. Subtract 4 on both sides and get 2=-n which would be n=-2.

A city council wants to know if residents would like a dog park . They sent a survey to every household in the city . The results of those who responded are shown in the table below . What is the experimental probability that a household has 2 or more dogs ?

Answers

Answer:

probability= event / sample space

= 129/860

=3/20

=0.15(15%)

Can someone help me with this?!

Answers

sub in the numbers
2(5)^2 - 4(5) + 5
=50 - 20 + 5
=30 + 5
=35

Tony's Tires has shown growth over the last month that follows the
equation Sales = 4(Day of the month) +16. On what day of the month will
Tony's Tires double its first day sales?​

Answers

Answer:

Step-by-step explanation:

The sales will double on the 6th day of the month

The equation sales for last month = 4(day of the month) + 16

let

x = day of the month

The day of the month could be 1, 2, 3, 4, 5, 6, 7, 8...…31. The numbers represents the first, second, third ,...… thirty first day.

Sales = 4x + 16

From the equation, on the first day his sales  will be :

sales = 4(1) + 16 = 20 units

The double of 20 units is 40 units. Therefore, the day of the month which the sales will double can be calculated below

40 = 4x + 16

40 - 16 = 4x

4x = 24

x = 24 / 4

x = 6

it will double on the 6th day.

Check here for similar question : https://brainly.com/question/8763059?referrer=searchResults

Write out the sample space for the given experiment. Use the following letters to indicate each choice: O for olives, M for mushrooms, S for shrimp, E for eggs, I for Italian, and H for honey mustard. When deciding what you want to put into a salad for dinner at a restaurant, you will choose one of the following extra toppings: olives, mushrooms. Also, you will add one of following meats: shrimp, eggs. Lastly, you will decide on one of the following dressings: Italian, honey mustard.

Answers

Answer:

Sample Space = {(OSI), (OSH), (OEI), (OEH), (MSI), (MSH), (MEI), (MEH)}

Step-by-step explanation:

Given

Salad                               Meats                      Dressings

O = Olives                     S = Shrimp                 I = Italian  

M = Mushroom              E = Egg                     H = Honey mustard

To determine the sample space, we simply select one from each column.

Take for instance, a combination of Olives, Shrimp and Italian will be represented as: OSI

So, the following sample space exists:

Sample Space = {(OSI), (OSH), (OEI), (OEH), (MSI), (MSH), (MEI), (MEH)}

What is the value of m in the diagram?
A. 11.2
B. 20.02
C. 15.8
D. 11

Answers

Answer:

20.02

Step-by-step explanation:

Answer:

20.02

Step-by-step explanation:

Mai bank account is overdrawn by $125 which means her balance is negative 125 she gets $85 for her birthday and deposit into her account how much does she have in her bank

Answers

the answer is -125+85= -40 because she is adding -125 by 85 which equals-40

A bouncing ball reaches a height of 54 inches at its first peak, 36 inches at its second peak, and 24 inches at its third peak. Which formula represents this scenario?

f(x) = 54(two-thirds) Superscript x
f(x) = 54(two-thirds) Superscript x minus 1
f(x) = Two-thirds(54)x
f(x) = Two-thirds(54)x – 1

Answers

Answer:

f(x) = 54(two-thirds) Superscript x minus 1

Step-by-step explanation:

Given that:

First peak : 36 / 54=2/3

Second peak : 24 / 36 = 2/3

The common ratio here is 2/3 ; which mean each bounce height is 2/3 of previous height

Modeling this using geometric progression :

An=a1r^(n-1)

An = nth term of a geometric progression

a1=first term

r=common ratio = 2/3

n = nth term

a1=54

Substituting into the above formular :

An=54(2/3)^(n-1)

Answer: B

Step-by-step explanation:

Just took the test

Are you ready for more? A box contains 20 square files that are 2 inches on each side. How many boxes of tiles will Elena need to file the table?​

Answers

Answer:

23

Step-by-step explanation:

To find the area of a circle you need to find the radius. You find the radius by dividing the diameter by 2. So in this case, the radius is 14. Multiply 14 by pi and square your answer for the area.

can someone evaluate this expression i will give brainliest

Answers

Answer:

82

Step-by-step explanation:

[tex]4^3 + \frac{96}{8} \cdot 5 - 42 = 64 + 12\cdot 5 - 42 = 64 + 60 - 42 = 82[/tex]

Answer:

82

Step-by-step explanation:

PEMDAS

[tex]4^{3}[/tex] + [(96 ÷ 8) x 5] - 42

[tex]4^{3}[/tex] + [(12) x 5] - 42

4^3 + (60) - 42

64 + 60 - 42

124 - 42

82

hope this helps :)

If it take Jon 10 minutes to go to work going 27 miles/ hr how long will it take him going 40 miles per hour

Answers

Answer:

I think its 6.75

Step-by-step explanation:

Consider the relationship 7r+2t=7. a. Write the relationship as a function r=f(t).

Answers

Answer: r = 2/7 -t

Step-by-step explanation: solve r from equation

7r = 2-7t l:7. r = 2/7 - t

The relationship as a function r=f(t) is [tex]\rm f(t)=\dfrac{7-2t}{7}\\\\[/tex].

What is the equation?

In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Consider the relationship;

7r+2t=7

Substitute r = f(t) in the equation

[tex]\rm 7r+2t=7\\\\7f(t)+2t=7\\\\ 7f(t)=7-2t\\\\f(t)=\dfrac{7-2t}{7}\\\\[/tex]

Hence, the relationship as a function r=f(t) is [tex]\rm f(t)=\dfrac{7-2t}{7}\\\\[/tex].

Learn more about equation here;

https://brainly.com/question/9699841

#SPJ2

Divide using a common factor of 2 to find an equivalent fraction for 2/6
A: 1/6
B: 1/3
C: 3/6
D: 2/3
I hate math

Answers

Answer:

The answer is D

Step-by-step explanation:

What is the equation of this circle in standard form?



A.
(x + 5.5)2 + (y + 4)2 = 12.25
B.
(x − 5.5)2 + (y − 4)2 = 3.5
C.
(x + 5.5)2 + (y + 4)2 = 3.5
D.
(x − 5.5)2 + (y − 4)2 = 12.25

Answers

Answer:

D.

(x − 5.5)2 + (y − 4)2 = 12.25

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