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$(1)=0$

Solve mathematically for the steady state values of A and B