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Determine the Sum of the Following Infinite Series n=12n(13)n1\sum _ { n = 1 } ^ { \infty } 2 ^ { n } \left( \frac { 1 } { 3 } \right) ^ { n - 1 }

question 69

Short Answer

Determine the sum of the following infinite series: n=12n(13)n1\sum _ { n = 1 } ^ { \infty } 2 ^ { n } \left( \frac { 1 } { 3 } \right) ^ { n - 1 } .
Enter just an integer.

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Definitions:

Break-even Sales

The level of sales at which a business generates revenue exactly equal to its costs, resulting in no profit or loss.

Consumer Division

A segment within a company focused on selling products and services directly to consumers, as opposed to business or commercial clients.

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The amount of revenue needed to cover both the variable and fixed costs of a business, resulting in neither profit nor loss.

Absorption Costing

is an accounting method that includes all manufacturing costs (direct materials, direct labor, and both variable and fixed overhead) in the cost of a product.

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