Math Problem Statement
Prove by induction that (n+1)^3-n^3 is always odd
Solution
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Math Problem Analysis
Mathematical Concepts
Mathematical Induction
Algebra
Odd and Even Numbers
Formulas
(n+1)^3 - n^3 = 3n^2 + 3n + 1
(k+2)^3 - (k+1)^3 = 3k^2 + 9k + 7
Theorems
Principle of Mathematical Induction
Suitable Grade Level
Grades 10-12
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