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Prove that 6^n - 1  is divisible by 5 for all positive integers n.

 Sep 6, 2020
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Prove that 6^n - 1  is divisible by 5 for all positive integers n.     

 

I can't prove it with mathematic symbols and stuff, but I can prove it with words.  

No matter how many times you multiply 6 by itself, the product will always end with a 6. 

When you subtract 1, the number ends with a 5.  Any number that ends with a 5 is divisible by 5. 

 

Is that good enough? 

.

 Sep 6, 2020

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