Use Generating Functions to Solve the Recurrence Relation $a _ { k } = 5 a _ { k - 1 }$

question 9

Essay

Use generating functions to solve the recurrence relation $a _ { k } = 5 a _ { k - 1 }$ =1,2,3, ... , with initial condition
a₀=3

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Definitions:

Recessive Trait

A genetic trait that is expressed in the phenotype only when two copies of the recessive allele are present, one from each parent.

Codominance

A genetic situation in which two alleles of a gene contribute to the phenotype of the organism in separate, distinctly observable ways.

Dominant Traits

Genetic characteristics that are expressed in an organism even when only one copy of the gene is present.

Incomplete Dominance

A genetic phenomenon where the phenotype of the heterozygote lies somewhere between the phenotypes of the two homozygotes.