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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 ≥ 18. Show that the statements P(18), P(19), P(20), and P(21) 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) is true, because 18 cents of postage can be formed from | P(19) is true, because 19 cents of postage can be formed from P(20) is true, because 20 cents of postage can be formed from P(21) is true, because 21 cents of postage can be formed from | 1 4-cent stamps and 3 4-cent stamps and 04-cent stamps and 04-cent stamps and 27-cent stamps. 17-cent stamps. 57-cent stamps. 37-cent stamps.

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 ≥ 18. Show that the statements P(18), P(19), P(20), and P(21) 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) is true, because 18 cents of postage can be formed from | P(19) is true, because 19 cents of postage can be formed from P(20) is true, because 20 cents of postage can be formed from P(21) is true, because 21 cents of postage can be formed from | 1 4-cent stamps and 3 4-cent stamps and 04-cent stamps and 04-cent stamps and 27-cent stamps. 17-cent stamps. 57-cent stamps. 37-cent stamps.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 42E
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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 ≥ 18. Show that the statements P(18), P(19), P(20), and P(21) 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) true, because 18 cents of postage can be formed from P(19) is true, because 19 cents of postage can be formed from P(20) is true, because 20 cents of postage can be formed from P(21) is true, because 21 cents of postage can be formed from 14-cent stamps and 34-cent stamps and 04-cent stamps and 04-cent stamps and 27-cent stamps. 17-cent stamps. 57-cent stamps. 37-cent stamps.
Transcribed Image Text: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 ≥ 18. Show that the statements P(18), P(19), P(20), and P(21) 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) true, because 18 cents of postage can be formed from P(19) is true, because 19 cents of postage can be formed from P(20) is true, because 20 cents of postage can be formed from P(21) is true, because 21 cents of postage can be formed from 14-cent stamps and 34-cent stamps and 04-cent stamps and 04-cent stamps and 27-cent stamps. 17-cent stamps. 57-cent stamps. 37-cent stamps.
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