Calculate the first ten terms of the resulting sequence

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Reference no: EM131010426

A biologist discovers that a gene has a lethal allele 'a' that is not purely recessive: genotypes of the form aaall die before reproducing and one third genotypes of the form Aa also die before reproducing.

a) Show, that the difference equation describe the proportion x_n of the lethal gene from one generation to the next is now given by the difference equation: x_n+1 = 2x_n / (3 + x_n)

b) Calculate the first ten terms of the resulting sequence starting from x₁ = 0.5.

c) Find all equilibrium solutions.

d) What do you notice about how rapidly the allele disappears?

Reference no: EM131010426

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