Math Problem Statement
n^3+(n+3)^3+(n+2)^3 is divisible by 9; n = N ; induction
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Mathematical Induction
Divisibility
Formulas
(n+1)^3 = n^3 + 3n^2 + 3n + 1
(n+2)^3 = n^3 + 6n^2 + 12n + 8
(n+3)^3 = n^3 + 9n^2 + 27n + 27
Theorems
Principle of Mathematical Induction
Binomial Theorem
Suitable Grade Level
Grades 10-12
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