1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anna35 [415]
1 year ago
10

find and solve a recurrence relation for the number of ways to arrange flags on an n-foot flagpole using three types of flags: r

ed flags 2 feet high, yellow flags 1 foot high, and blue flags 1 foot high. page 4 of 8
Mathematics
1 answer:
DerKrebs [107]1 year ago
3 0

Let Fn be the number of ways of arranging such flagpole with the given conditions.

When arranging a flagpole of n feet high, consider the following cases

If the last flag used is a red flag, then the other flags are n-1 foot high, so they can be seen as arranged on a smaller flagpole of n-1 feet high, which can be done in Fn-1 ways.

Similarly, If the last flag used is a gold flag, then the other flags can be seen as arranged on a smaller flagpole of n-1 feet high. This can be done in Fn-1 ways.

If the last flag used is green, the other flags are n-2 feet high, so the flagpole can be arranged in Fn-2 ways.

Using the sum rule, we obtain that Fn = 2Fn-1 + Fn-2 for all n≥3. Listing all the combinations of flags, the initial conditions are F1 = 2 and F2 = 3.

To Learn more about similar flagpole questions:

brainly.com/question/14277535

#SPJ4

You might be interested in
What is the area of this.
Ratling [72]
8x16=? 6x12=? Then add both answers ?+?=?
8 0
3 years ago
The population of Virginia is 30% less than the population of Georgia. If
Advocard [28]

7,150,000

The population of Georgia is 10,500,000.

The population of Virginia is 30% less than that.

So the population of Virginia is 10,500,000 - 30% which equals 7,150,000

3 0
3 years ago
Where does the circumference of each kind of triangle lie? Question 1 options: Inside the triangle. Outside the triangle. On the
stiks02 [169]

Answer:

Inside the triangle - Acute Triangle

Outside the triangle - Obtuse Triangle

On the hypotenuse - Right Triangle

Step-by-step explanation:

The <u>circumcenter</u> is the point where the perpendicular bisectors of a triangle intersect.

In the special case of a right triangle, the circumcenter lies exactly at the midpoint of the hypotenuse.

The circumcenter of an acute triangle lies inside the triangle.

The circumcenter of an obtuse triangle lies outside the triangle.

4 0
3 years ago
What is 1/2 of 3/4 cup of peanut butter
kondor19780726 [428]

Answer:

3/8

Step-by-step explanation:

2x4= 8

8 0
3 years ago
Which one of these pictures is not like the others?
lions [1.4K]

Answer:

I don't see any pictures

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • 10. Solve the system of equations 3y + 2z = 12 and y – z = 9. A. y = 6, z = –3 B. y = 24, z = 15 C. y = 6, z = 15 D. y = –6, z =
    6·1 answer
  • Eleanor had a gross income of $2,478.15 during each pay period in 2010 if she got paid monthly how much of her pay was deducted
    13·1 answer
  • write an equation of the line with the same slope as the line given by 5x+2y=8 and as the same y-intercept as 3x-7y=10
    12·2 answers
  • What should be included in a financial plan to protect assets? a. how much money you will make b. how much money you will have i
    9·2 answers
  • . TEMPERATURE The average temperature
    8·1 answer
  • Stuck on this question. Help appreciated!!
    10·1 answer
  • Idk the answer can u help me
    12·1 answer
  • There is a specialty store that you like to go to when you are craving jelly beans. The price is reasonable at $1.30 per pound.
    11·2 answers
  • You have to order fencing for a 25-acre, rectangular field. One side of the field measures exactly ¼ mile. How many yards of fen
    8·1 answer
  • What is the probability of drawing either an ace or a face card, when choosing one card from the deck?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!