Math Problem Statement
a sequence of real number Xn is defined recursively as X0, X1 are arbitrary positive reals and Xn+2 = (1+xN=1) / Xn. Find X2021
Solution
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Math Problem Analysis
Mathematical Concepts
Recursive sequences
Periodicity
Modular arithmetic
Formulas
X_{n+2} = (1 + X_{n+1}) / X_n
X_{2021} = X_2
2021 mod 3
Theorems
Periodicity in recursive sequences
Modulo arithmetic theorem
Suitable Grade Level
Grades 10-12
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