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  • Class 11 Maths Study Material

An Educational platform for Preparation and Practice Class 11. Kidsfront provide unique pattern of learning Maths with free online comprehensive study material in the form of QUESTION & ANSWER for each Chapter of Maths for Class 11. This study material help Class 11, Maths students in learning every aspect of Mathematical Induction. Students can understand Mathematical Induction concept easily and consolidate their learning by doing Online Practice Tests on Maths,Mathematical Induction chapter repeatedly till they excel in Class 11, Mathematical Induction. Free ONLINE PRACTICE TESTS on Class 11, Mathematical Induction comprise of Hundreds of Questions on Mathematical Induction, prepared by the highly professionals team. Every repeat test of Mathematical Induction will have new set of questions and help students to prepare themselves for exams by doing unlimited Online Test exercise on Mathematical Induction. Attempt ONLINE TEST on Class 11,Maths,Mathematical Induction in Academics section after completing this Mathematical Induction Question Answer Exercise.


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Mathematical Induction
True or false: inductive reasoning depends on working with different cases and developing a conjecture.

a) TRUE
b) FALSE
c) MAYBE
d) None of these



Answer
Correct Answer Is : TRUE
Solution Is :
By principle of mathematical induction for all n ∈ N, 1∧3 + 2∧3 + 3∧3 + ……… + n∧3 =

a) N(n + 1)
b) (n(n + 1))∧2
c) (n(n + 1))∧3
d) (n(n + 1)/2)∧2



Answer
Correct Answer Is : (n(n + 1)/2)∧2
Solution Is :
By principle of mathematical induction for all n ∈ N, 1+ (1/(1+2)) + (1/(1+2+3)) + ……… +(1/(1+2+3+ ……. + n)) =

a) 2n / (n+1)
b) 2 / (n+1)
c) 2n / (n-1)
d) 2 / (n-1)



Answer
Correct Answer Is : 2n / (n+1)
Solution Is :
By principle of mathematical induction for all n ∈ N, 1.2.3+ 2.3.4 + ……… +(n(n+1)(n+2)) =

a) N(n+1)(n+2)
b) N(n+1)(n+2)(n+3)
c) N(n+1)(n+2)(n+3)/4
d) (n+1)(n+2)(n+3)/4



Answer
Correct Answer Is : N(n+1)(n+2)(n+3)/4
Solution Is :
By principle of mathematical induction for all n ∈ N, (2n + 7)_________ (n+3)∧2

a) Less than
b) Greater than
c) Equal to
d) Not equal to



Answer
Correct Answer Is : Less than
Solution Is :
By principle of mathematical induction for all n ∈ N, 41∧n - 14∧n is a _________ 27.

a) Addition of
b) Subtraction of
c) Multiple of
d) Divisible of



Answer
Correct Answer Is : Multiple of
Solution Is :
By principle of mathematical induction for all n ∈ N, n(n+1)(n+5) is a multiple of ___________ .

a) 2
b) 3
c) 4
d) 5



Answer
Correct Answer Is : 3
Solution Is :
True or false: the induction means the determination from particular cases or facts.

a) TRUE
b) FALSE
c) MAYBE
d) None of these



Answer
Correct Answer Is : FALSE
Solution Is :
By principle of mathematical induction for all ________, 1 + 3 + 3∧2 + ……… + 3∧(n-1) = 3∧n - 1 / 2

a) N ∈ N
b) N = N
c) N < N
d) N > N



Answer
Correct Answer Is : N ∈ N
Solution Is :
When the first tile is pushed in the indicated direction, all the tiles will fall is the example of:

a) Principle of mathematical induction
b) Principle of mathematical deduction
c) Principle of mathematical formulation
d) Principle of mathematical reasoning



Answer
Correct Answer Is : Principle of mathematical induction
Solution Is :
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