An advantage of different emergence patterns for two species of a swarming insect is that they rarely emerge the same year to compete for food. Suppose that type A of the insect has a 5​-year emergence cycle and type B of the insect has a ​19-year cycle. If both species of the insect emerged during 2011 ​, when is the next year that both species will emerge during the same​ year?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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An advantage of different emergence patterns for two species of a swarming insect is that they rarely emerge the same year to compete for food. Suppose that type A of the insect has a 5​-year emergence cycle and type B of the insect has a ​19-year cycle. If both species of the insect emerged during 2011 ​, when is the next year that both species will emerge during the same​ year?

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