The following pattern is established involving terms of the Fibonacci sequence. Use inductive reasoning to make a conjecture concerning the next equation in the pattern, and verify it. You may wish to refer to the first few terms of the sequence given in the text. 2²-1² = 3 3²-1²=8 5²-2² =21 8²-32=55 Each equation is the difference of the squares of two Fibonacci numbers. Each side of the next equation will equal

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The following pattern is established involving terms of the Fibonacci sequence. Use inductive reasoning to make a conjecture concerning the next equation in the pattern, and
verify it. You may wish to refer to the first few terms of the sequence given in the text.
2²-1² = 3
3²-1² = 8
52-2² =21
82-3²=55
Each equation is the difference of the squares of two Fibonacci numbers. Each side of the next equation will equal
Transcribed Image Text:The following pattern is established involving terms of the Fibonacci sequence. Use inductive reasoning to make a conjecture concerning the next equation in the pattern, and verify it. You may wish to refer to the first few terms of the sequence given in the text. 2²-1² = 3 3²-1² = 8 52-2² =21 82-3²=55 Each equation is the difference of the squares of two Fibonacci numbers. Each side of the next equation will equal
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