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Prove the following statement using induction. 1. 7" 1 is divisible by 6 for any positive integer n. For this proof, answer the following questions: • Complete the basis step of the proof. What is the inductive hypothesis? • What do you need to show in the inductive step of the proof? • Complete the inductive step of the proof.

Prove the following statement using induction. 1. 7" 1 is divisible by 6 for any positive integer n. For this proof, answer the following questions: • Complete the basis step of the proof. What is the inductive hypothesis? • What do you need to show in the inductive step of the proof? • Complete the inductive step of the proof.

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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Prove the following statement using induction. 1. 7" -1 is divisible by 6 for any positive integer n. For this proof, answer the following questions: • Complete the basis step of the proof. What is the inductive hypothesis? What do you need to show in the inductive step of the proof? Complete the inductive step of the proof.
Transcribed Image Text:Prove the following statement using induction. 1. 7" -1 is divisible by 6 for any positive integer n. For this proof, answer the following questions: • Complete the basis step of the proof. What is the inductive hypothesis? What do you need to show in the inductive step of the proof? Complete the inductive step of the proof.
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