Express the Sum Using Summation Notation $$a + a r + a r ^ { 2 } + \ldots + a r ^ { 13 }$$

question 63

Multiple Choice

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of
summation.
- $$a + a r + a r ^ { 2 } + \ldots + a r ^ { 13 }$$

• A) \(\sum _ { \mathrm { k } = 1 } ^ { 14 } a r ^ { \mathrm { k } }\)
• B) \(\sum _ { k = 0 } ^ { 13 } ( a r ) ^ { k }\)
• C) \(\sum _ { k = 0 } ^ { 13 } a r ^ { k }\)
• D) \(\sum _ { k = 1 } ^ { 13 } a r ^ { k }\)

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Definitions:

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Of birds and some other animals, a digestive chamber lined with a hard material that grinds up food.

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The partially digested, acidic food mixture that moves from the stomach to the small intestine.

Heartburn

A discomforting burning sensation in the chest, usually occurring after eating, caused by stomach acid refluxing back into the esophagus.