
Generating Functions and Sequences

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard
Standards-aligned

Aiden Montgomery
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the pattern of signs in the sequence for part A?
Alternating signs
All positive
All negative
No pattern
Tags
CCSS.7.EE.A.1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What substitution is used to derive the generating function for the sequence 1, 3, 9, 27?
Substituting x with 5x
Substituting x with 4x
Substituting x with 3x
Substituting x with 2x
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which substitution is used to find the generating function for part A?
Substituting x with -2x
Substituting x with 3x
Substituting x with x^2
Substituting x with 5x
Tags
CCSS.HSF.BF.A.2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the characteristic of the sequence in part B?
All terms are negative
Non-zero terms are powers of five
All terms are powers of two
All terms are zero
Tags
CCSS.HSF.BF.A.2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the sequence generated by the function 1 / (1 - x^2)?
0, 1, 0, 1, 0, 1
1, 1, 1, 1, 1, 1
1, 0, 1, 0, 1, 0
1, 2, 3, 4, 5, 6
Tags
CCSS.HSA.APR.C.5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the generating function for part B derived?
By substituting x with 3x
By substituting x with -x
By substituting x with 5x squared
By substituting x with x^3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the common factor in the last example sequence?
x
x^3
x^4
x^2
Tags
CCSS.HSF.BF.A.2
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