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Question
State whether the following statement is true or false. Justify.
Let P(n) be a statement and let P(k) ⇒ P(k + 1), for some natural number k, then P(n) is true for all n ∈ N.
Options
True
False
Solution
This statement is False.
Explanation:
Given that: P(k) ⇒ P(k + 1)
P(1) ⇒ P(2) which is not true.
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