Question: 4. a) Show by induction that (n+1) = n2 + (2n +1). b) Show the same without induction (I really hope you were tempted to

4. a) Show by induction that (n+1) = n2 + (2n

4. a) Show by induction that (n+1) = n2 + (2n +1). b) Show the same without induction (I really hope you were tempted to do that!) 5. Let S = {0,1} be an alphabet. Enumerate five elements of the following languages: a) Binary numbers that are odd b) Binary numbers that contain more 0 as 1 (not leading os, of course)

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