Express the Sum Using Summation Notation $a + a r + a r ^ { 2 } + \ldots + a r ^ { 10 }$

question 29

Multiple Choice

Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation.
- $a + a r + a r ^ { 2 } + \ldots + a r ^ { 10 }$

• A) \(\sum _ { i = 1 } ^ { 10 } a r ^ { i }\)
• B) \(\sum _ { \mathrm { i } = 1 } ^ { 10 } \left( \mathrm { ar } ^ { \mathrm { i } } - 1 \right.\)
• C) \(\sum _ { i = 1 } ^ { 11 } a r ^ { i - 1 }\)
• D) \(\sum _ { i = 1 } ^ { 10 } ( a r ) ^ { i }\)

---

Definitions:

Bloody Mucus

A bodily secretion consisting of blood and mucus, often indicating inflammation or infection in the respiratory tract, digestive system, or other areas of the body.

Active Bacterial Infection

A state in which bacteria are rapidly multiplying and invading body tissues, often causing symptoms.

Nasal Cavities

The hollow spaces within the nose, involved in breathing and filtering air before it reaches the lungs.

Pharynx

Throat; opens to airways and digestive tract.