TJMO 1996/2

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Thamim Zahin
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TJMO 1996/2

Unread post by Thamim Zahin » Wed Jan 04, 2017 5:44 pm

Write out the positive integers consisting of only $1$s, $6$s, and $9$s in ascending order as in: $1,6,9,11,16,\dots$.

a. Find the order of $1996$ in the sequence.

b. Find the $1996$th term in the sequence.
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Raiyan Jamil
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Re: TJMO 1996/2

Unread post by Raiyan Jamil » Thu Jan 05, 2017 7:00 pm

Trinary should help.
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siwomcre
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Re: TJMO 1996/2

Unread post by siwomcre » Thu Jan 05, 2017 10:47 pm

Raiyan Jamil wrote:Trinary should help.
What is trinary?

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ahmedittihad
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Re: TJMO 1996/2

Unread post by ahmedittihad » Fri Jan 06, 2017 2:21 am

siwomcre wrote:
Raiyan Jamil wrote:Trinary should help.
What is trinary?
Trinary is the number system with base 3. Familiarize yourself with different number bases except the decimal one.
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tanmoy
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Re: TJMO 1996/2

Unread post by tanmoy » Fri Jan 06, 2017 11:58 am

siwomcre wrote:What is trinary?
Our counting system is Decimal. It has $10$ digits: $0,1,2,3,4,5,6,7,8,9$.
Trinary is another system of number counting. But it has only three digits: $0,1$ and $2$.
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