Concept explainers
The Lucas Sequence. A sequence called the Lucas sequence is closely related to the Fibonacci sequence. The Lucas sequence begins with the numbers L1 = 1 and L2 = 3 and then uses the same relation
a. Generate the first ten Lucas numbers.
b. Compute the ratio of successive Lucas numbers L2/L1, L3/L2, L4/L3, and so on. Can you determine if these ratios approach a single number? What number is it?
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Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
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