(a) Select any three consecutive terms of a Fibonacci sequence. Subtract the product of the terms on...
Question:
(a) Select any three consecutive terms of a Fibonacci sequence. Subtract the product of the terms on each side of the middle term from the square of the middle term. What is the difference?
(b) Repeat part (a) with three different consecutive terms of the sequence.
(c) Make a conjecture about what will happen when you repeat this process for any three consecutive terms of a Fibonacci sequence.
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a If 5 8 and 13 are selected the result is 8 2 513 64 65 ...View the full answer
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Related Book For 
A Survey of Mathematics with Applications
ISBN: 978-0134112107
10th edition
Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde
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