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A student wants to prove by induction that a predicate P holds for certain nonnegative integers. They have proven that for all integers n0 that

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A student wants to prove by induction that a predicate P holds for certain nonnegative integers. They have proven that for all integers n0 that P(n)P(2n) Suppose the student has proven P(4). Which of the following propositions can they infer? (The domain for any quantifiers appearing in the answer choices is the natural numbers.) P(n)forn=4,6,8,n,P(2n+8)n,P(2n+2)n3,P(2n8)

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