Consider the following infinite set B. The set contains triplets where the first and second members are strings, and the third member shows the total number of characters in the first and second strings.

B = {[a, bb, 3], [aa, bbbb, 6], [aaa, bbbbbb, 9], . . .}

(a) Describe the pattern to obtain an element from a previous element.

Note that you need to describe how to create new triplets from existing triplets.

You are not being asked to describe the pattern of the existing triplets, it is already described above.

(b) Give a recursive definition of the set B.

Write all three components of the recursive definition