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Question

If $$P(n)$$ is statement such that $$P(3)$$ is true. Assuming P(k) is true $$\Rightarrow$$ $$P(k+1)$$ is true for all $$k$$ $$\geq$$ $$2$$, then $$ P(n)$$ is true.


A
For all n
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B
For n 3
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C
For n 4
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D
None of these
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Solution

The correct option is B For $$n$$ $$\geq$$ $$3$$
Given $$P (3)$$ is true.
Assume $$P(k)$$ is true $$\Rightarrow$$ $$P(k+1)$$ is true means if $$P(3)$$ is true $$\Rightarrow$$ $$P(4)$$ is true $$\Rightarrow$$ $$P(5)$$ is true and so on. So statement is true for all $$n\geq3$$.

Mathematics

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