Verify That $a _ { n }$ =6 Is a Solution to the Recurrence Relation

question 194

Short Answer

Verify that $a _ { n }$ =6 is a solution to the recurrence relation $a _ { n } = 4 a _ { n - 1 } - 3 a _ { n - 2 }$

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Definitions:

Archaeabacterium

A group of microorganisms that are similar to bacteria but genetically distinct, often found in extreme environments.

Cyanobacterium

Photosynthetic, aquatic microorganisms that are gram-negative and often contribute to the formation of oxygen in Earth's atmosphere.

Green Alga

Single-celled, colonial, or multicelled photosynthetic protist that has chloroplasts containing chlorophylls a and b.

Prokaryotic

Cells that lack a true, membrane-bound nucleus and most other organelles, characteristic of organisms such as bacteria.