Let c_n be the sequence given by c_1:=1. Let u denote the first 
three digits of your social security number or student ID number. 
Let v denote the last four digits. Let r:=u/(u+v). 

Discuss the behavior of the sequence c_(n+1):=u*(c_n)^r-1 as n 
goes to infinity. Does the sequence converge? If so, can you find 
the limit exactly? Does this exact limit match what calculating 
the first several c_n's suggests? 

Prove convergence or divergence.

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