Express the Sum Using Summation Notation $$a + a r + a r ^ { 2 } + \ldots + a r ^ { 14 }$$

question 50

Multiple Choice

Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation.
- $$a + a r + a r ^ { 2 } + \ldots + a r ^ { 14 }$$

• A) \(\sum _ { \mathrm { i } = 1 } ^ { 14 } a r ^ { \mathrm { i } }\)
• B) \(\sum _ { \mathrm { i } = 1 } ^ { 14 } ( \mathrm { ar } ) ^ { \mathrm { i } }\)
• C) \(\sum _ { i = 1 } ^ { 15 } a r ^ { i-1 } \)
• D) \(\sum _ { \mathrm { i } = 1 } ^ { 14 } ( \mathrm { ar } ) ^ { \mathrm { i } - 1 }\)

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Definitions:

Sources

Refers to the origins or places from which something is obtained, often used in the context of gathering information or materials.

Emissions Tax

A tax imposed on the emission of pollutants, aimed at reducing environmental harm by incentivizing companies to lower their pollution levels.

Marginal Benefit

The further enjoyment or utility obtained when one more unit of a product or service is consumed.

Pollution

The existence or entry of a harmful or toxic material or object into the environment.