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Question -

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



Answer -

Let us consider

P (n) = 1 + 2 + 3 + – – – – – + n = n(n+1)/2

So,

P (n) is true for all natural numbers.

Hence, P (n) is true for all n N.

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