Math Problem Statement
Work out the value of Fn−1Fn+1 −Fn2 for n = 1,2,3,4,5. You should see a pattern; prove that this pattern always holds.
Solution
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Math Problem Analysis
Mathematical Concepts
Fibonacci sequence
Mathematical induction
Recursive sequences
Formulas
Fibonacci sequence definition
Inductive proof techniques
Theorems
Induction theorem
Suitable Grade Level
Grades 10-12
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