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Principle of Mathematical Induction
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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 $n$.
cbse
class11
ch4
mathematical-induction
exemplar
q6
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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 : \[\] $1+2+2^2+...+2^n=2^{n+1}-1$ for all natural numbers $n$.
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Prove that, $ \large\frac{1}{n+1}$$+ \large\frac{1}{n+2}$$+...+\large\frac{1}{2n}$$ > \large\frac{13}{24}$, for all natural numbers $n > 1$ by using principle of mathematical induction.
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May 6, 2014
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cbse
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mathematical-induction
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