If we want to prove by induction that for every natural n, 3" – 1 is a multiple of 2, then the induction hypothesis is O 3k+1 - 1 is a multiple of 2 for every natural k. O 3k+1 – 1 is a multiple of 2 for some natural k. O 3k -1 is a multiple of 2 for every natural k. O 3k – 1 is a multiple of 2 for some natural k. O 3k-1 1 is a multiple of 2 for every natural k.
If we want to prove by induction that for every natural n, 3" – 1 is a multiple of 2, then the induction hypothesis is O 3k+1 - 1 is a multiple of 2 for every natural k. O 3k+1 – 1 is a multiple of 2 for some natural k. O 3k -1 is a multiple of 2 for every natural k. O 3k – 1 is a multiple of 2 for some natural k. O 3k-1 1 is a multiple of 2 for every natural k.
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 26E: Prove by induction that n2n.
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![If we want to prove by induction that for every natural n, 3" – 1 is a multiple of 2, then the induction
hypothesis is
O 3k+1 - 1 is a multiple of 2 for every natural k.
O 3k+1 – 1 is a multiple of 2 for some natural k.
O 3k - 1 is a multiple of 2 for every natural k.
O 3k -1 is a multiple of 2 for some natural k.
O 3k-1 -1 is a multiple of 2 for every natural k.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5f26210-6cc2-465b-a880-67054eb449ea%2Ff6acc708-f783-41a8-ad41-0577251a0f2b%2Fsvzur45_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If we want to prove by induction that for every natural n, 3" – 1 is a multiple of 2, then the induction
hypothesis is
O 3k+1 - 1 is a multiple of 2 for every natural k.
O 3k+1 – 1 is a multiple of 2 for some natural k.
O 3k - 1 is a multiple of 2 for every natural k.
O 3k -1 is a multiple of 2 for some natural k.
O 3k-1 -1 is a multiple of 2 for every natural k.
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