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  4. principle of mathematical induction

principle of mathematical induction


Given an example of a statement P (n) such that it is true for all n ϵ N.

class-11 maths principle of mathematical induction
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a + (a + d) + (a + 2d) + … + (a + (n-1)d) = \( \dfrac{n}{2}\) [2a + (n-1)d]

class-11 maths principle of mathematical induction
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72n + 23n – 3. 3n – 1 is divisible by 25 for all n ϵ N

class-11 maths principle of mathematical induction
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n (n + 1) (n + 5) is a multiple of 3 for all n ϵ N.

class-11 maths principle of mathematical induction
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(ab) n = an bn for all n ϵ N

class-11 maths principle of mathematical induction
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