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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.

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.

Advanced Engineering Mathematics
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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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.
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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