Question: Discrete structure 1. A ternary string is a string that contains only Os, Is and 2s. Find a recurrence relation for the number of ternary

Discrete structure Discrete structure 1. A ternary string is a string that contains only

1. A ternary string is a string that contains only Os, Is and 2s. Find a recurrence relation for the number of ternary strings that contain three consecutive Is. What are the initial conditions? 2. Solve the recurrence ar = 42n-1 +50,-2 - (2n - 195 with initial conditions ao = 0, 4, = 1. 3. Use the Inclusion-Exclusion Principle to determine how many ternary strings of length six contain three consecutive 1s. 1. A ternary string is a string that contains only Os, Is and 2s. Find a recurrence relation for the number of ternary strings that contain three consecutive Is. What are the initial conditions? 2. Solve the recurrence ar = 42n-1 +50,-2 - (2n - 195 with initial conditions ao = 0, 4, = 1. 3. Use the Inclusion-Exclusion Principle to determine how many ternary strings of length six contain three consecutive 1s

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