
Fibonacci Sequence and Tiling Identities Quiz

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard
Jennifer Brown
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the starting point of the Fibonacci sequence?
0 and 1
2 and 3
3 and 5
1 and 1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the next term in the Fibonacci sequence traditionally calculated?
By subtracting the previous term from the next
By dividing the previous term by the next
By adding the previous two terms
By multiplying the previous two terms
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the new identity introduced for calculating even-indexed Fibonacci terms?
f_sub_2n = fn^2 + fn-1^2
f_sub_2n = fn^2 - fn-1^2
f_sub_2n = fn + fn-1
f_sub_2n = fn * fn-1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the tiling analogy, what do the one square pieces and two square domino pieces represent?
The Fibonacci numbers
The terms of the sequence
The recurrence relation
The ways to tile a row of squares
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the middle two squares in the tiling analogy for even-indexed terms?
They are always covered by a single piece
They are not considered in the tiling
They determine the number of ways to tile the row
They are always left uncovered
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can F100 be calculated using the new identity?
By finding F50 and F49
By finding F75 and F74
By finding F99 and F98
By finding F25 and F24
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the structure of a row of 2n + 1 squares in the odd-indexed identity?
n squares plus another one plus n more
2n squares plus one
n squares plus two
2n squares
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