
Path Design and Recurrence Relations
Interactive Video
•
Mathematics, Science
•
9th - 12th Grade
•
Practice Problem
•
Hard
Jackson Turner
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main objective of the path design problem discussed in the video?
To find the number of different colors of tiles.
To measure the length of each tile.
To determine the number of different path designs using tiles.
To calculate the cost of tiles.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many colors are available for the one by one tiles?
Three
Four
Five
Six
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the recurrence relation derived for the number of path designs?
a_n = 3a_(n-1) + 4a_(n-2)
a_n = 4a_(n-1) + 5a_(n-2)
a_n = 5a_(n-1) + 4a_(n-2)
a_n = 2a_(n-1) + 3a_(n-2)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of a_2 in the sequence?
521
4
21
104
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many different path designs are possible for a path of length 3?
124
64
84
104
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What technique is used to solve the recurrence relation?
Characteristic root technique
Matrix multiplication
Probability analysis
Graph theory
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the roots of the characteristic equation derived?
x = 3 and x = -2
x = 4 and x = -3
x = 5 and x = -1
x = 6 and x = -4
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