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Principle of Mathematical Induction
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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 $n$.
cbse
class11
ch4
mathematical-induction
exemplar
q3
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May 5, 2014
by
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 : \[\] For any natural number $n$, $7^{n}-2^n$ is divisible by 5.
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mathematical-induction
exemplar
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