Math Problem Statement
solve 1^2-2^2+3^2-4^2+5^2-6^2+...+135^2-136^2
Solution
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Math Problem Analysis
Mathematical Concepts
Alternating series
Difference of squares
Arithmetic series
Formulas
Difference of squares: n^2 - (n+1)^2 = -2n - 1
Arithmetic series sum: Sum = -\sum_{n=1}^{68} (2n + 1)
Theorems
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Suitable Grade Level
Advanced High School