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Principle of Mathematical Induction
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Prove the following statement by the principle of mathematical induction : \[\] For any natural number $n$, $7^{n}-2^n$ is divisible by 5.
cbse
class11
ch4
mathematical-induction
exemplar
q7
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May 5, 2014
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thanvigandhi_1
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Prove the following statement by the principle of mathematical induction : \[\] For any natural number $n$, $x^n-y^n$ is divisible by $x-y$, where $x$ and $y$ are any integers with $x \neq y$.
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Prove the following statement by the principle of mathematical induction : \[\] $4^n-1$ is divisible by 3, for each natural numbers $n$.
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Prove the following statement by the principle of mathematical induction : \[\] $n^3-n$ is divisible by 6, for each natural number $n \geq 2$.
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May 5, 2014
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Prove the following statement by the principle of mathematical induction : \[\] $3^{2n}-1$ is divisible by 8, for all natural numbers $n$.
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Prove the following statement by the principle of mathematical induction : \[\] $n^{3}-7n+3$ is divisible by 3, for all natural numbers $n$.
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May 5, 2014
by
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cbse
class11
ch4
mathematical-induction
exemplar
q5
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