Question: i 3 3 narded w0 Required information NOTE: This is a mult-part question. Once an answer is submitted, you will be unable to return to

i 3 3 narded w0 Required information NOTE: Thisi 3 3 narded w0 Required information NOTE: This
i 3 3 narded w0 Required information NOTE: This is a mult-part question. Once an answer is submitted, you will be unable to return to this part. Let Ar) be the statement that a postage of n cents can be formed using just 4-cent stamps and 7-cent stamps. The parts of this exercise outline a strong induction proof that An) is true for 2 18. Show that the statements A18), A{19), A20), and A21) are true, completing the basis step of the proof. (Please enter your answers as numeric values only) (You must provide an answer before moving to the next part) P(18) s true, because 18 cents of postage can be formed from 4-cent stamps and 2] @ 7-cent stamps. _'M P(19) s true, because 19 cents of postage can be formed from 4-cent stamps and 3] 7-cent stamps. P20} is true, because 20 cents of postage can be formed from 4-cent stamps and @ 7-cent stamps. P(21) s true, because 21 cents of postage can be formed from [ 0] @ 4-cent stamps and 3] @ 7-cent stamps, Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Let P(n) be the statement that a postage of n cents can be formed using just 4-cent stamps and 7-cent stamps. The parts of this exercise outline a strong induction proof that P(n) is true for n 2 18. What is the inductive hypothesis of the proof? arded (You must provide an answer before moving to the next part.) Multiple Choice O The inductive hypothesis is the statement that using just 4-cent and 7-cent stamps we can form / cents postage for all / with 18 sj s k , where we assume that k 2 21. The inductive hypothesis is the statement that using just 4-cent and 7-cent stamps we can form / cents postage for all / with 18 sj 21

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