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#1 2016-10-02 03:38:37

Registered: 2015-10-18
Posts: 272

MathCounts Problems

(1) Write the base-6 number

as a base 3 number

(2) If

, what is the value of x?

(3) In the sequence

how many terms have 3 as the units digits?

(4) What is the least integer value of n for which


(5) What is the least integer value for x for which


I just don't know where to start and (on some of them), how to do them. I also find computing different bases right now a big overwhelming as I've just learned them.


#2 2016-10-02 04:30:36

Registered: 2016-04-16
Posts: 1,086

Re: MathCounts Problems

{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}


#3 2016-10-02 05:06:45

From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: MathCounts Problems


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.


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