Math Problem Statement
t n -2t n - 1 =(n+5)3^ n n >= 1 solve using Inhomogenous Recuurence.
Solution
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Math Problem Analysis
Mathematical Concepts
Inhomogeneous Recurrence Relations
Homogeneous Recurrence Relations
Algebraic Equations
Formulas
Characteristic equation: r - 2 = 0
General solution for homogeneous part: t_n^{(h)} = C * 2^n
Particular solution form: t_n^{(p)} = (An + B) * 3^n
Theorems
Method of Undetermined Coefficients
Suitable Grade Level
Undergraduate Mathematics