Let P(n) be the statement that a postage of n cents can be formed using just 3-cent stamps and 5-cent stamps. The parts of this exercise outline a strong induction proof that P(n) is true for all integers n ≥ 8. a) What do you need to prove in the inductive step of a proof by strong induction that P(n) is true for all integers n ≥ 8? b) Complete the inductive step for k ≥ 10.
Let P(n) be the statement that a postage of n cents can be formed using just 3-cent stamps and 5-cent stamps. The parts of this exercise outline a strong induction proof that P(n) is true for all integers n ≥ 8. a) What do you need to prove in the inductive step of a proof by strong induction that P(n) is true for all integers n ≥ 8? b) Complete the inductive step for k ≥ 10.
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 3-cent stamps and 5-cent stamps. The parts of this exercise outline a strong induction proof that P(n) is true for all integers n ≥ 8.
a) What do you need to prove in the inductive step of a proof by strong induction that P(n) is true for all integers n ≥ 8?
b) Complete the inductive step for k ≥ 10.
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