Advanced P17(BOMC 2)
Prove that the sequence $1, 11, 111, \cdots $ contains an infinite subsequence whose terms are pairwise relatively prime.
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Nur Muhammad Shafiullah | Mahi
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Nur Muhammad Shafiullah | Mahi
Re: Advanced P17(BOMC 2)
Hint:
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Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
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Re: Advanced P17(BOMC 2)
This came to my head about two years ago.I also solved like Nadim Vaia.It's the easiest way,I think.
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Re: Advanced P17(BOMC 2)
i solved like mahi's.it's the smartest way.
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Re: Advanced P17(BOMC 2)
Pardon me, what is a sub-sequence ?
Must it have a general form for each of it's terms ?
Must it have a general form for each of it's terms ?
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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Re: Advanced P17(BOMC 2)
Sub-sequence means a sequence formed by only the elements of another elements in the same order.
(It is quite similar to set and subset, eliminate a few elements from the first and you will find the other.)
(It is quite similar to set and subset, eliminate a few elements from the first and you will find the other.)
Please read Forum Guide and Rules before you post.
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi