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Question: Experiment on a Sequence

Question:Experiment on a Sequence

hweengee 36 Maple
student
November 08 2008
0

 I have been provided with a sequence defined as such,

a_0=1 and b_0=1/surd(2,3)

a_n+1=(1/3)*(a_n+2*b_n) and b_n+1=surd((1/3)*(b_n*(a_n^2+a_n*b_n+b_n^2)),3)

and have been asked to come up with a loop to check the value to which both {a_n} and {b_n} converge.

How do I go about doing this?

Thanks for the help in advance.
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