Math Problem Statement
prove by induction 9^n-5^n-4^n divisible by 20
Solution
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Math Problem Analysis
Mathematical Concepts
Induction
Modular Arithmetic
Number Theory
Formulas
9^n - 5^n - 4^n ≡ 0 (mod 20)
Inductive Hypothesis: 9^k - 5^k - 4^k ≡ 0 (mod 20)
Theorems
Principle of Mathematical Induction
Suitable Grade Level
Grades 11-12
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