The inductive step of an inductive proof shows that for k > 4, if 2k > 3k,, then 2k+> 3 (k + 1). In which step of the proof is the inductive hypothesis used? 2k+1 2. 2k (Step 1) 2 2.3k (Step 2) > 3k + 3k (Step 3) 2 3k + 3 (Step 4) 2 3 (k+ 1) (Step 5) O Step 1 O Step 2 Step 4 O Step 3

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Chapter8: Sequences, Series,and Probability
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The inductive step of an inductive proof shows that for k 2 4, if 2k > 3k,, then 2k+1 > 3 (k + 1).
In which step of the proof is the inductive hypothesis used?
2k+1 > 2. 2k (Step 1)
2 2.3k (Step 2)
> 3k +3k
(Step 3)
> 3k + 3
(Step 4)
2 3 (k + 1) (Step 5)
O Step 1
O Step 2
O Step 4
O Step 3
Transcribed Image Text:The inductive step of an inductive proof shows that for k 2 4, if 2k > 3k,, then 2k+1 > 3 (k + 1). In which step of the proof is the inductive hypothesis used? 2k+1 > 2. 2k (Step 1) 2 2.3k (Step 2) > 3k +3k (Step 3) > 3k + 3 (Step 4) 2 3 (k + 1) (Step 5) O Step 1 O Step 2 O Step 4 O Step 3
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