Question: Given an iterative algorithm below which defines the k + 1 elements of vectors A and B: A ( k + 1 ) = 1

Given an iterative algorithm below which defines the k+1 elements of vectors A and B:
A(k+1)=10-B(k);
B(k+1)=B(k)+(A(k))/500;
A(1)=10;
B(1)=0

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