Consider the Series ​

question 13

Short Answer

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

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Definitions:

Recovery Phase

A stage in the economic cycle where activity is picking up and the economy grows after a recession or downturn.

Recession Phase

Part of the business cycle characterized by a decline in economic activity, marked by falling GDP and rising unemployment.

Full Employment

A situation in an economy where all available labor resources are being used in the most economically efficient way, typically characterized by low unemployment.

Cyclical Unemployment

Unemployment attributed to the cyclical trends in the economy, typically increasing during recessions and decreasing during expansions.