Verify That $a _ { n } = 3 ^ { n }$

question 122

Short Answer

Verify that $a _ { n } = 3 ^ { n }$ is a solution to the recurrence relation $a _ { n } = 4 a _ { n - 1 } - 3 a _ { n - 2 }$

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Definitions:

Antibiotics

Substances used to kill or inhibit the growth of bacteria, thereby treating bacterial infections.

Evolution

The way in which different species of living entities are thought to have evolved and diversified from ancient forms during Earth's historical timeline.

Virulence

The degree of damage or harm a pathogen can cause to its host.