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  • ...frac{1}{1+\frac{1}{1+\frac{1}{1+\cdots}}}}</math> and the [[nested radical|continued radical]] <math>\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\cdots}}}}</math>. It is th
    2 KB (293 words) - 20:12, 14 February 2025
  • ...<math>\sqrt D</math>. If <math>a</math> is the [[period]] of the continued fraction and <math>C_k=P_k/Q_k</math> is the <math>k</math>th convergent, all soluti
    9 KB (1,434 words) - 00:15, 4 July 2024
  • Let <math>x</math> be a fraction between <math>\frac{35}{36}</math> and <math>\frac{91}{183}</math>. If the If this pattern is continued, find the last number in the <math>80</math>th row
    9 KB (1,449 words) - 19:49, 2 October 2020
  • Interesting sidenote: The continued fraction <math>1 + \frac {1}{1 + \frac {1}{1 + 1....}}</math> is equal to the golden
    940 bytes (108 words) - 08:19, 8 June 2021
  • == Continued fractions == ...<math>\sqrt D</math>. If <math>a</math> is the [[period]] of the continued fraction and <math>C_k=P_k/Q_k</math> is the <math>k</math>th convergent, all soluti
    6 KB (1,075 words) - 19:26, 16 November 2024
  • of the boys went on a field trip. What fraction of the students on the field trip were girls? drove <math>350</math> miles, bought <math>8</math> gallons of gas, and continued driving to his destination. When he arrived, his gas tank was half full. Ho
    12 KB (1,674 words) - 18:34, 19 January 2025
  • Continued fractions with integer parts <math>q_i</math> and numerators all <math>1</m ...leaves two answers. Since the number of <math>1</math>'s in the continued fraction is odd, we further narrow it down to <math>13\left(\frac{y}{2}\right)^2-\le
    3 KB (425 words) - 23:45, 14 September 2024
  • ). So <math>\frac{2n+1}{2k}</math> must be a truncation of the continued fraction for <math>\sqrt{2}</math>: ...math>t_n</math> is a perfect square, one of two things must occur when the fraction is split into a product. Either <math>\frac{n}{2}</math> and <math>n+1</mat
    7 KB (1,115 words) - 08:39, 26 November 2024