সহজ থেকেও সহজতর
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প্রমাণ কর, $\frac{1}{n}+\frac{1}{n+1}+\frac{1}{n+3}$ একটি পৌনঃপুনিক(Repeated decimal) সংখ্যা যেখানে $n \in\mathbb N$.
An amount of certain opposition is a great help to a man.Kites rise against,not with,the wind.
Re: সহজ থেকেও সহজতর
Sorry but for $n=1$,$\frac{1}{1}+\frac{1}{1+1}+\frac{1}{1+3}=1.75$. However it is true for $n\geq 2$ I think. Use the fact that $\frac{m}{n}$ is in repeated decimal when $n$ has a prime factor other than $2$ and $5$.
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- Posts:188
- Joined:Mon Jan 09, 2012 6:52 pm
- Location:24.4333°N 90.7833°E
Re: সহজ থেকেও সহজতর
Sorry,forgot to give the condition .
The fact killed the solution actually
The fact killed the solution actually
An amount of certain opposition is a great help to a man.Kites rise against,not with,the wind.