Use the Principle of Mathematical Induction to Show That the Mathematical

question 41

Essay

Use the principle of mathematical induction to show that the mathematical statement is true for all natural numbers n.
- $$S _ { n } : 1 + 6 + 11 + \ldots + ( 5 n - 4 ) = \frac { n ( 5 n - 3 ) } { 2 }$$

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Definitions:

Growth Factor

A naturally occurring substance capable of stimulating cellular growth, proliferation, healing, and cellular differentiation.

Tyrosine Kinase Receptor

A plasma membrane receptor that phosphorylates the tyrosine part of proteins; when a ligand binds to the receptor, the conformation of the receptor changes and it may phosphorylate itself as well as other molecules; important in immune function and serves as a receptor for insulin.

Ras Proteins

A family of proteins involved in transmitting signals within cells, playing a role in cell growth and development.

Fibroblast Cells

A type of cell found in connective tissue that produces collagen and other fibers, playing a crucial role in wound healing and tissue repair.