Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Telescoping Series
Radical Expressions
Rationalizing Denominators
Formulas
Simplifying expressions of the form 1 / (√n + √(n+1)) by rationalizing the denominator: multiply by (√(n+1) - √n) / (√(n+1) - √n)
Sum of a telescoping series: most terms cancel out, leaving the first and last terms.
Theorems
Telescoping Series Theorem
Suitable Grade Level
Grades 10-12