Use the Principle of Mathematical Induction to Show That the Statement

question 193

Essay

Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.
- $$4 + 8 + 12 + \ldots + 4 n = 2 n ( n + 1 )$$

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Definitions:

Germinal Stage

The initial two weeks of prenatal development after conception, characterized by cell division and the attachment of the zygote to the uterine wall.

Neonatal Stage

The period extending from birth to 28 days of life, characterizing the first phase of infancy where intensive care and monitoring are essential.

Age of Viability

The stage of fetal development when the fetus is capable of surviving outside the uterus, typically around 24 weeks of gestation.

Prematurely

Occurring or done before the usual or proper time; too early.