Discrete Mathematics Principle Mathematical Induction Online Exam Quiz
Discrete Mathematics Principle Mathematical Induction GK Quiz. Question and Answers related to Discrete Mathematics Principle Mathematical Induction. MCQ (Multiple Choice Questions with answers about Discrete Mathematics Principle Mathematical Induction
For every natural number k, which of the following is true?
Options
A : (mn)k = mknk
B : m*k = n + 1
C : (m+n)k = k + 1
D : mkn = mnk
For m = 1, 2, …, 4m+2 is a multiple of ________
Options
A : 3
B : 5
C : 6
D : 2
For any positive integer m ______ is divisible by 4.
Options
A : 5m2 + 2
B : 3m + 1
C : m2 + 3
D : m3 + 3m
Which of the following is the base case for 4n+1 > (n+1)2 where n = 2?
Options
A : 64 > 9
B : 16 > 2
C : 27 < 91
D : 54 > 8
What is the base case for the inequality 7n > n3, where n = 3?
Options
A : 652 > 189
B : 42 < 132
C : 343 > 27
D : 42 <= 431
What is the induction hypothesis assumption for the inequality m ! > 2m where m>=4?
Options
A : for m=k, k+1!>2k holds
B : for m=k, k!>2k holds
C : for m=k, k!>3k holds
D : for m=k, k!>2k+1 holds
In the principle of mathematical induction, which of the following steps is mandatory?
Options
A : induction hypothesis
B : inductive reference
C : induction set assumption
D : minimal set representation
For any integer m>=3, the series 2+4+6+…+(4m) can be equivalent to ________
Options
A : m2+3
B : m+1
C : mm
D : 3m2+4
According to principle of mathematical induction, if P(k+1) = m(k+1) + 5 is true then _____ must be true.
Options
A : P(k) = 3m(k)
B : P(k) = m(k) + 5
C : P(k) = m(k+2) + 5
D : P(k) = m(k)
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