Write the Sum Using Summation Notation, Assuming the Suggested Pattern $$2 - 4 + 8 - 16 + \ldots$$

question 4

Multiple Choice

Write the sum using summation notation, assuming the suggested pattern continues.
- $$2 - 4 + 8 - 16 + \ldots$$

• A) \(\sum _ { n = 0 } ^ { \infty } 2 \cdot 2 ^ { n + 1 }\)
• B) \(\sum _ { n = 0 } ^ { \infty } 2 ( - 2 ) ^ { n + 1 }\)
• C) \(\sum _ { n = 0 } ^ { \infty } 2 \cdot 2 ^ { n }\)
• D) \(\sum _ { n = 0 } ^ { \infty } 2 ( - 2 ) ^ { n }\)

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Definitions:

Net Loss

A situation where total expenses exceed total revenues during a specific period, indicating a financial loss in a business or enterprise.

Demographer

A social scientist who studies population dynamics, including birth rates, mortality rates, and migration patterns.

Net Migration Rate

The difference between the number of immigrants and the number of emigrants throughout the year, per 1,000 inhabitants in a given country.

Emigrants

Individuals who leave their own country to settle permanently in another.