北京 景山 学校 数学系
Elective / Pre-Calculus @ MATHEMATICS @ Senior 1+  。2011-12

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[3] December
[updated : 2011/10/08]
Date
Activities / Objectives
 Images / Home work / Assignments
Remarks / Images
References / Links

Monday

Dec. 5

14:25 -15:05

15:15 -15:55
  • Study of the geometric series defined by
    un = a.10-na is a decimal digit1 ≤ a ≤ 9
    Sn= u1 + u2 + u3 + ... + un
    Or
    Sn= 0. aaaaaaaaa...a
    0.aaaaaaaaa.png
  • Study of the sequence defined by
    Rec|Rad(6-x).png
  • Study of the sequence defined by the
    Continuous Fractions



Graph_rad(6-x).png



Seq_cont_fract_graph.png





Continuous_fractions.png

The limit of that continuous fraction
happens to be the Golden Number
which is also related to the Fibonnacci's
sequences :
and the positive solution of
x2- x - 1 = 0





Assignment #9
Monday

Dec. 12

14:25 -15:05

15:15 -15:55






Monday

Dec. 19

14:25 -15:05

15:15 -15:55





Monday
Dec. 26
!!! Xmas Vacation in Paris !!!