Select the Right Expression for the Following Sum and Prove $n$

question 50

Multiple Choice

Select the right expression for the following sum and prove that your statement is true for all natural numbers $n$ .
$P _ { \mathrm { n } } : 3 + 6 + 9 \ldots 3 n$

• A) \(\quad \frac { n ( 3 n + 1 ) } { 2 }\)
• B) \(\quad \frac { 3 n ( n + 1 ) } { 4 }\)
• C) \(\quad \frac { 3 n ( n + 1 ) } { 2 }\)
• D) \(\frac { n ( 3 n + 1 ) } { 4 }\)
• E) none of the above

Comprehend the importance of relationships and caring in moral decision-making.

Understand the criticisms of Gilligan's theory and its place within the broader context of ethical studies.

Distinguish between ethical theories focused on justice and those focused on care.

Realize the implications of considering relationships and connectedness in ethical decision-making.

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Definitions:

Unequal Distribution

A situation where resources, wealth, or opportunities are not evenly distributed among members of a society.

Resources

Resources are assets, materials, or other valuables that can be utilized to achieve goals, conduct operations, or solve problems.

Functionalism

A theoretical framework in sociology that views society as a complex system whose parts work together to promote solidarity and stability.

Social Stability

The state of societal consistency and predictability, where social structures, institutions, and relationships remain relatively unchanged over time.