Use mathematical induction to prove the following.8n > 1
What will be an ideal response?
Answers may vary. One possibility:
Sn: 8n > 1
S1: 81 > 1
Sk: 8k > 1
Sk+1: 8k+1 > 1
Step 1: Since 81 > 1, S1 is true.
Step 2: Let k be any natural number. Assume Sk. Deduce Sk+1.
8k > 1
8k8 > 1? 8 Multiplying by 8, 8 > 0
8k+1 > 8
8k+1 > 8 > 1 By S1
8k+1 > 1.
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