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

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) $\sum _ { k = 0 } ^ { n } a b ^ { k }$