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| Summary |
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- A sentence is called a statement if it can be adjudged as true or false.
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- Every statement is a sentence, but a sentence may or may not be a statement.
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- A statement involving natural number n is generally denoted by P(n).
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- Principle of mathematical induction states that if P(n) is a statement involving natural number n.
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| (i) P(1) is true i.e., the statement is true for n = 1. |
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| (ii) Truth of P(k) implies the truth of P(k+1) i.e., the statement is true for n = k+1 assuming it to be true for n = k, then the statement P(n) is true for all natural numbers. |
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