Write the Word or Phrase That Best Completes Each Statement $$1 \cdot 8 + 2 \cdot 8 + 3 \cdot 8 + \ldots + 8 n = \frac { 8 n ( n + 1 ) } { 2 }$$

question 23

Essay

Write the word or phrase that best completes each statement or answers the question. Use mathematical induction to prove that the statement is true for every positive integer n.
- $$1 \cdot 8 + 2 \cdot 8 + 3 \cdot 8 + \ldots + 8 n = \frac { 8 n ( n + 1 ) } { 2 }$$

Describe the effects of the founder effect, including the potential for increased frequency of harmful alleles.

Explain how migration and gene flow contribute to the genetic diversity of populations.

Understand the M'Naghten standard's role and application in legal systems.

Explain the requirements for conviction of an offence, emphasizing mens rea and its psychological aspects.

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Definitions:

Forecast

A prediction or estimate of future events or trends, often based on analysis of past and current data.

Liabilities

Debts that a firm owes to others.