Question: A ternary string is a string that contains only 0s, 1s and 2s. Find a recurrence relation for the number of ternary strings that contain

A ternary string is a string that contains only 0s, 1s and 2s.

Find a recurrence relation for the number of ternary strings that contain two consecutive 1s. What are the initial conditions?

How many ternary strings of length six contain two consecutive 1s?

Solve the recurrence relation obtained in point a.

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