s constructed in a similar way to the Fibonacci sequence is the Lucas Sequence: 1,3,4,7,11,18,29,47,76,123,… a. Find the next number in the sequence. b. If you take four consecutive Lucas numbers and square the middle two and then subtract the smaller result from the larger result, does the result equal to the____ of the smallest and largest, the same wa
s constructed in a similar way to the Fibonacci sequence is the Lucas Sequence: 1,3,4,7,11,18,29,47,76,123,… a. Find the next number in the sequence. b. If you take four consecutive Lucas numbers and square the middle two and then subtract the smaller result from the larger result, does the result equal to the____ of the smallest and largest, the same wa
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Another sequence that is constructed in a similar way to the Fibonacci sequence is the Lucas Sequence: 1,3,4,7,11,18,29,47,76,123,…
a. Find the next number in the sequence.
b. If you take four consecutive Lucas numbers and square the middle two and then subtract the smaller result from the larger result, does the result equal to the____ of the smallest and largest, the same way as the Fibonacci sequence? Show several examples, then state your conclusion.
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