Consider the Series ​

question 6

Short Answer

Consider the series
​ .
​
Determine whether the geometric series converges or diverges.
​
If it converges, find its sum.

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Definitions:

Economic Development

The process by which the economic well-being and quality of life of a nation, region, or local community are improved according to targeted goals and objectives.

Birth Rate

Birth rate is a demographic measure representing the number of live births per 1,000 people in a given year.

Military Spending

The portion of a national budget allocated for defense and security forces.

Economic Growth

An increase in the production of goods and services in an economy over a period of time, typically measured by the rise in GDP.