Math Problem Statement
Use mathematical induction to prove that, 1^ 2 +3^ 2 +5^ 2 +...+ (2n + 1) ^ 2 = ((n + 1)(2n + 1)(2n + 3))/3 whenever nis (8)
Solution
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Math Problem Analysis
Mathematical Concepts
Mathematical Induction
Summation of Series
Odd Numbers
Proof Techniques
Formulas
1^2 + 3^2 + 5^2 + ... + (2n+1)^2 = ((n+1)(2n+1)(2n+3))/3
Theorems
Principle of Mathematical Induction
Suitable Grade Level
Grades 10-12
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