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MODERN PUBLICATION-MATHEMATICAL INDUCTION-(OBJECTIVE TYPE QUESTIONS)(FOR BOARD EXAMINATIONS)
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- For all n in N, n^(3)+2n is divisible by
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- For each n in N, n(n+1) (2n+1) is divisible by
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- For all positive integers {x(x^(n-1)-n.a^(n-1)+a^n(n-1)} is divisible ...
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- If a,b and n are natural numbers then a^(2n-1)+b^(2n-1) is divisible b...
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- For each n in N, the greatest positive integer which divides (n + 1) (...
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- For each n in N the greatest positive integer which divides (n + 1) (n...
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- The inequality n! > 2^(n-1) is true
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- The inequality 2^(n) lt n! ninNis true for :
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- The statement n! gt 2^(n-1), n in N is true for
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- Let S(k) = 1 + 3 + 5 +...+ (2k -1) = 3 + k^2. Then which of the follow...
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