Question: Consider strings over the alphabet {+,-,*,/}. a) Find a recurrence relation for the number of strings of length n that do not contain two consecutive

Consider strings over the alphabet {+,-,*,/}. a) Find a recurrence relation for the number of strings of length n that do not contain two consecutive + signs. What are the initial conditions? b) Solve the recurrence relation obtained in point a. c) Use the Inclusion-Exclusion Principle to determine how many strings of length five contain two consecutive + signs.

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