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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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