Math Problem Statement
4 Using induction, show that n ∑ i=1 1 i 2 ≤ 2 − 1 n for all n ∈ N \ {0}.
Solution
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Math Problem Analysis
Mathematical Concepts
Mathematical Induction
Inequalities
Summation of Series
Formulas
∑(i=1 to n) 1/i^2
2 − 1/n
Theorems
Principle of Mathematical Induction
Suitable Grade Level
Undergraduate Mathematics or Advanced High School (Grades 11-12)