Use Mathematical Induction to Prove That 80 Is a Factor $2 ^ { 8 n + 2 } + 16$

question 107

Essay

Use mathematical induction to prove that 80 is a factor of $2 ^ { 8 n + 2 } + 16$ for all positive $n$ .

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Definitions:

Peripheral Nervous System

The part of the nervous system outside the brain and spinal cord, responsible for connecting the central nervous system to limbs and organs.

Central Nervous System

The part of the nervous system consisting of the brain and spinal cord, responsible for processing information and controlling responses.

Nissl Bodies

Structures within the cytoplasm of neurons that are associated with ribonucleic acid (RNA) and protein synthesis.

Rough Endoplasmic Reticulum

A network of tubular membranes within the cytoplasm of the cell studded with ribosomes involved in the synthesis of proteins.