Hi, Everyone Every one this assignment involved multiple parts in this question.

Question

Hi, Everyone

Every one this assignment involved multiple parts in this question. Please help me .Thank you

We'll work on the following statement for the next 3 questions. Let n e N. P(n): For any set S of n people, all people in S have the same age. Suppose you are trying to prove this statement by mathematical induction. Consider the base case: P(1): For any set S of 1 person, obviously all people in S have the same age. So the base case is true. Was this step performed correctly? (A) Yes (B) No To continue our proof, we suppose in every group of k people for some natural number k, all people have the same age. Is this a induction hypothesis or induction conclusion? (A) Induction hypothesis (B) Induction conclusion

Explanation / Answer

P(1) : For any set S of 1 person, obviously all people in S have the same age.

Was the base case performed correctly?

Yes.

All people have the same age in every group of k people.

We assume the result for n = k.

This is

(A) Induction hypothesis.

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