The function f, defined for whole positive numbers, is such that $f(1)=1$ and $f(2n) = 2f(n)$ and $f(2n+1)=4f(n) $for all$ n$. For how many numbers $n$ is$ f(n)=16$?
and please hide your solution . So any viewer can try it first.
function
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Please don't post problems (by starting a topic) in the "X: Solved" forums. Those forums are only for showcasing the problems for the convenience of the users. You can always post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
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AntiviruShahriar
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Re: function
$f(2n+1)=?$..........$f(2n)=2f(n)$ r $f(2n+1)$=kichu na hoile to ans may be 1......hidden kemne korree vai??????
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HandaramTheGreat
- Posts:135
- Joined:Thu Dec 09, 2010 12:10 pm
Re: function
যেটা হাইড করতে চাও ঐটার প্রথমে লিখবা [ h i d e ]...(স্পেস বাদে)AntiviruShahriar wrote:...hidden kemne korree vai??????
আর শেষে লিখবা [ / h i d e ]...(স্পেস বাদে, স্পেস দিলাম যাতে এইটা নিজেই হাইড না হয়ে যায়)
Re: function
I think the sol'ns are .
Am I right?
Am I right?
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Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Re: function
yap ................ its correct . and did a good job at hiding too
Re: function
thnx yaar!! 
Please Install $L^AT_EX$ fonts in your PC for better looking equations,
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Re: function
Above the edit box in a full view to reply,there are buttons like B,i,u,quote,hide etc.Press hide button and what you write inside gets hidden.
One one thing is neutral in the universe, that is $0$.