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Assignment 1 - Question 4

Posted by InSaNiE

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InSaNiE

Assignment 1 - Question 4
March 28, 2010 07:28PM

Registered: 18 years ago
Posts: 81
Rating: 0

Hi all

Hopefully someone can help me - for some reason I cannot understand exactly what they are asking with question 4.

Do we have to prove that: 11ⁿ - 4ⁿ is divisible by 7?

I don't quite understand what they mean then they say: "is 'n multiple of 7 ..."

Thanks in advance

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rezrovs

Re: Assignment 1 - Question 4
March 29, 2010 10:06AM

Registered: 17 years ago
Posts: 308
Rating: 0

Hi there

The question says to prove that the result of 11ⁿ - 4ⁿ is a multiple of 7 and it's possible to do the question without converting it to 'is divisible by 7'.

For the base case I used n=1 and then for the inductive step I said that 'multiple of 7' is the same as saying 7a.

Does that help?

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InSaNiE

Re: Assignment 1 - Question 4
March 29, 2010 12:20PM

Registered: 18 years ago
Posts: 81
Rating: 0

@rezrovs

Yes, thanks - that helped a lot! The language used in the question just confused me - but thanks for clearing it up smiling smiley