Lucas Sequence a) A sequence related to the Fibonacci

Chapter 5, Problem 5.1.718

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Lucas Sequence a) A sequence related to the Fibonacci sequence is the Lucas sequence. The Lucas sequence is formed in a manner similar to the Fibonacci sequence. The first two numbers of the Lucas sequence are 1 and 3. Write the first eight terms of the Lucas sequence. b) Complete the next two lines of the following chart. 1 + 2 = 3 1 + 3 = 4 2 + 5 = 7 3 + 8 = 11 5 + 13 = 18 c) What do you observe about the first column in the chart in part (b)?

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