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Suppose That an Insect Population Density, in Thousands, During Year a1=1;an=2.98an10.17an12 for n>1a _ { 1 } = 1 ; a _ { n } = 2.98 a _ { n - 1 } - 0.17 a _ { n - 1 } ^ { 2 } \quad \text { for } n > 1

question 22

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Suppose that an insect population density, in thousands, during year n can be modeled by the recursively defined sequence: a1=1;an=2.98an10.17an12 for n>1a _ { 1 } = 1 ; a _ { n } = 2.98 a _ { n - 1 } - 0.17 a _ { n - 1 } ^ { 2 } \quad \text { for } n > 1 Use technology to graph the sequence for n = 1, 2, 3, . . . , 20 . Describe what happens to the population density
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