Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Calculate the quadratic irrational number $\alpha$ given by the periodic continued fraction $\alpha = \overline{ [1,2,1] } $.

To be honest I am not sure how to tackle this one. I know the algorithm to construct a continued fraction given $\alpha$, but I am unsure how to reverse this algorithm.

share|improve this question

1 Answer 1

up vote 3 down vote accepted

$\alpha = 1+\cfrac{1}{2 + \cfrac{1}{1 + \cfrac{1}{\alpha }}}$

share|improve this answer
    
I feel embarassed,( I am still learning cont. fractions, so sorry for my ignorant question). Thanks for your quick reply! –  ClausW Feb 25 '12 at 12:26

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.