Math Problem Statement

"Find a recurrence relation for the number of ternary

strings of length n that contain two consecutive sym-

bols that are the same."

Solution

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Math Problem Analysis

Mathematical Concepts

Recurrence Relations
Ternary Strings
Combinatorics

Formulas

Recurrence relation for counting ternary strings with consecutive symbols

Theorems

Principle of Inclusion-Exclusion
Recursion in Combinatorics

Suitable Grade Level

Grades 11-12