Question: Problem 7.28. One can use recurrences to define a sequence of strings. Define An as follows: Ao = a; Concatenation, xy, for strings x, y

Problem 7.28. One can use recurrences to define a sequence of strings. Define An as follows: Ao = a; Concatenation, xy, for strings x, y appends y to An a. An-1.ba for n>1. 12 producing the string ry, e.g. aboba = abba. (a) What are A1,..., A10. (b) Prove An = amb(ab), where rk is k copies of the string a concatenated together
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