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April 8th, 2014, 04:11 AM  #1 
Senior Member Joined: Oct 2013 From: Far far away Posts: 422 Thanks: 18  Induction again
Prove that (4^n)  1 is divisible by 3 My attempt: 1) let n = 1 (4^1)  1 = 4  1 = 3 3 is divisible by 3. So true for n = 1 2) Assume it is true for n = k So (4^k)  1 is divisible by 3 3) let n = k + 1 but and are divisible by 3 so is divisible by 3 Therefore for all n 4^n  1 is divisible by 3 Is this proof acceptable? The third step doesn't look like induction..thanks 
April 8th, 2014, 04:19 AM  #2 
Senior Member Joined: Dec 2013 From: Russia Posts: 327 Thanks: 108  

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