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5.9.5 Fibonacci

Question: The sequence of numbers​ 1,1,2,3,5,8,13,21

Answer: Fibonacci Sequence

Question: Define Fibonacci Sequence

Answer: First two numbers are 1… then each number is the sum of the two numbers before it.

Question: Fibonacci-type sequence​

Answer: each term is the sum of the two preceding​ terms

Question: 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 will you get each time?

Answer: The difference will always be negative −1 or 1

Question: Lucas Sequence

Answer: Same as Fibonacci except the first 2 numbers are 1 & 3