Discrete Mathematics Generating Functions Online Exam Quiz
Discrete Mathematics Generating Functions GK Quiz. Question and Answers related to Discrete Mathematics Generating Functions. MCQ (Multiple Choice Questions with answers about Discrete Mathematics Generating Functions
Suppose G is the generating function for the sequence 4, 7, 10, 13, 16, 19,…, the find a generating function (in terms of G) for the sequence of differences between terms.
Options
A : (1?x)G?4/x
B : (1?x)G?4/x3
C : (1?x)G+6/x
D : (1?x)G?x2
What is the generating function for the sequence with closed formula an=4(7n)+6(?2)n?
Options
A : (4/1?7x)+6!
B : (3/1?8x)
C : (4/1?7x)+(6/1+2x)
D : (6/1-2x)+8
Find the sequence generated by 1/1?x2?x4.,assume that 1, 1, 2, 3, 5, 8,… has generating function 1/1?x?x2.
Options
A : 0, 0, 1, 1, 2, 3, 5, 8,…
B : 0, 1, 2, 3, 5, 8,…
C : 1, 1, 2, 2, 4, 6, 8,…
D : 1, 4, 3, 5, 7,…
What is multiplication of the sequence 1, 2, 3, 4,… by the sequence 1, 3, 5, 7, 11,….?
Options
A : 1, 5, 14, 30,…
B : 2, 8, 16, 35,…
C : 1, 4, 7, 9, 13,…
D : 4, 8, 9, 14, 28,…
What is the generating function for the generating sequence A = 1, 9, 25, 49,…?
Options
A : 1+(A-x2)
B : (1-A)-1/x
C : (1-A)+1/x2
D : (A-x)/x3
What is the sequence depicted by the generating series 4 + 15x2 + 10x3 + 25x5 + 16x6+??
Options
A : 10, 4, 0, 16, 25, …
B : 0, 4, 15, 10, 16, 25,…
C : 4, 0, 15, 10, 25, 16,…
D : 4, 10, 15, 25,…
What will be the sequence generated by the generating function 4x/(1-x)2?
Options
A : 12, 16, 20, 24,…
B : 1, 3, 5, 7, 9,…
C : 0, 4, 8, 12, 16, 20,…
D : 0, 1, 1, 3, 5, 8, 13,…
What is the recurrence relation for the sequence 1, 3, 7, 15, 31, 63,…?
Options
A : an = 3an-1?2an+2
B : an = 3an-1?2an-2
C : an = 3an-1?2an-1
D : an = 3an-1?2an-3
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