Prove the following statement by mathematical induction. For every integer n 2 0, 7" – 2" is divisible by 5.

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 by mathematical induction.
For every integer n 2 0, 7" – 2" is divisible by 5.
Proof (by mathematical induction): Let P(n) be the following sentence.
7n - 2" is divisible by 5.
Transcribed Image Text:Prove the following statement by mathematical induction. For every integer n 2 0, 7" – 2" is divisible by 5. Proof (by mathematical induction): Let P(n) be the following sentence. 7n - 2" is divisible by 5.
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