Express the Sum Using Summation Notation $$( a + 1 ) + ( a + b ) + \left( a + b ^ { 2 } \right) + \ldots + \left( a + b ^ { n } \right)$$

question 105

Multiple Choice

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of summation.
- $$( a + 1 ) + ( a + b ) + \left( a + b ^ { 2 } \right) + \ldots + \left( a + b ^ { n } \right)$$

• A) \(\sum _ { k = 1 } ^ { n } \left( a + b ^ { k } \right)\)
• B) \(\sum _ { k = 0 } ^ { n - 1 } \left( a + b ^ { k } \right)\)
• C) \(\sum _ { k = 0 } ^ { n } \left( a + b ^ { k } \right)\)
• D) \(\sum _ { k = 0 } ^ { n } a b ^ { k }\)

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Definitions:

Unit Elastic

A situation in which the percentage change in quantity demanded is equal to the percentage change in price.

Inelastic

Describes a situation where the demand for or supply of a good or service is relatively unresponsive to changes in price.

Elasticity of Supply

A measure of how much the quantity supplied of a good changes in response to a change in its price.

Productive Capacity

The maximum output a company or economy can produce with its current resources and technology, without causing inflation.