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Mathematical induction is a tool or technique which is used to prove a proposition about all

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Important Questions on Principle of Mathematical Induction

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Gamma Question Bank for Engineering Mathematics>Chapter 10 - Principle of Mathematical Induction>Assignment>Q 16
For each n∈N,32n-1 is divisible by
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Gamma Question Bank for Engineering Mathematics>Chapter 10 - Principle of Mathematical Induction>Assignment>Q 17
The statement n!>2n-1,n∈N is true for
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Gamma Question Bank for Engineering Mathematics>Chapter 10 - Principle of Mathematical Induction>Assignment>Q 18
For all n∈N, 3.52n+1+23n+1  is divisible by
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Gamma Question Bank for Engineering Mathematics>Chapter 10 - Principle of Mathematical Induction>Assignment>Q 20
The proposition among the following that is not true for all n∈N, is
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Gamma Question Bank for Engineering Mathematics>Chapter 10 - Principle of Mathematical Induction>Assignment>Q 21
 If 7+77+777+… upto nth  term =781a·10n+1-bn-c is true ∀n∈N, then
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Gamma Question Bank for Engineering Mathematics>Chapter 10 - Principle of Mathematical Induction>Assignment>Q 22
The proposition that is not true for n>1(n∈N) is
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Gamma Question Bank for Engineering Mathematics>Chapter 10 - Principle of Mathematical Induction>Assignment>Q 24
For all n(>1)∈N, by using mathematical induction or otherwise 1+12+13+…+1n in its lowest form is
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Gamma Question Bank for Engineering Mathematics>Chapter 10 - Principle of Mathematical Induction>Assignment>Q 25
The sum of the squares of three consecutive odd numbers increased by 1 is divisible by (use mathematical induction)