①
设S{0}=2/1
则
S{1}=(2 S{0})/(1 S{0})=4/3
S{2}=(2 S{1})/(1 S{1})=(10/3)/(7/3)=10/7
S{3}=(2 S{2})/(1 S{2})=(24/7)/(17/7)=24/17
S{4}=(2 S{3})/(1 S{3})=(58/17)/(41/17)=58/41
……
②
设S{0}=3/1
则
S{1}=(3 S{0})/(1 S{0})=6/4=3/2
S{2}=(3 S{1})/(1 S{1})=(9/2)/(5/2)=9/5
S{3}=(3 S{2})/(1 S{2})=(24/5)/(14/5)=24/14=12/7
S{4}=(3 S{3})/(1 S{3})=(33/7)/(19/7)=33/19
……
③
设S{0}=5/1
则
S{1}=(5 S{0})/(1 S{0})=10/6=5/3
S{2}=(5 S{1})/(1 S{1})=(20/3)/(8/3)=20/8=5/2
S{3}=(5 S{2})/(1 S{2})=(15/2)/(7/2)=15/7
S{4}=(5 S{3})/(1 S{3})=(50/7)/(22/7)=50/22=25/11
……
④
设S{0}=6/1
则
S{1}=(6 S{0})/(1 S{0})=12/7
S{2}=(6 S{1})/(1 S{1})=(54/7)/(19/7)=54/19
S{3}=(6 S{2})/(1 S{2})=(168/19)/(73/19)=168/73
S{4}=(6 S{3})/(1 S{3})=(606/73)/(241/73)=606/241
……
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