Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Mathematical Induction
Sum of Integers
Formulas
Sum of first k integers: 1 + 2 + ... + k = k(k+1)/2
Formula to prove: 1 + 2 + ... + n + (n + 1) + (n + 2) = (n+2)(n+3)/2
Theorems
Principle of Mathematical Induction
Suitable Grade Level
High School (Grades 10-12), Early College
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