Math Problem Statement
Prove that 2^n ≥ n^2 for every real number n ≥ 9 using mathematical induction.
Solution
The image shows a mathematical statement that reads:
which translates to:
"Prove that for every real number using mathematical induction."
Proof by Mathematical Induction
We need to prove that holds for all .
Step 1: Base Case
For ( n =
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Math Problem Analysis
Mathematical Concepts
Exponential Growth
Quadratic Growth
Mathematical Induction
Formulas
2^n ≥ n^2
Theorems
Mathematical Induction
Suitable Grade Level
High School to College Level