Express the Sum Using Summation Notation $$a + a r + a r ^ { 2 } + \ldots + a r ^ { 11 }$$

question 288

Multiple Choice

Express the sum using summation notation. Use a lower limit of summation not necessarily 1 and k for the index of summation.
- $$a + a r + a r ^ { 2 } + \ldots + a r ^ { 11 }$$

• A) \(\sum _ { \mathrm { k } = 0 } ^ { 11 } \mathrm { ar } ^ { \mathrm { k } }\)
• B) \(\sum _ { k = 1 } ^ { 12 } a r ^ { k }\)
• C) \(\sum _ { \mathrm { k } = 0 } ^ { 11 } ( \mathrm { ar } ) ^ { \mathrm { k } }\)
• D) \(\sum _ { k = 1 } ^ { 11 } a r ^ { k }\)

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