A statement p(n) depends on the natural number n


A statement P(n) depends on the natural number n. If you know that P(1) is true and that P(n) implies P(n+3) for all n. Which of the following statements are definitely true?

P(100) is true.
P(20) is true.
P(20) implies P(29).
P(100) implies P(102).
P(20) implies P(100). 

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Theory of Computation: A statement p(n) depends on the natural number n
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