Write the Sum Using Summation Notation, Assuming the Suggested Pattern $$2 - 4 + 8 - 16 + \ldots$$

Multiple Choice

Write the sum using summation notation, assuming the suggested pattern continues.
- $$2 - 4 + 8 - 16 + \ldots$$

A) $\sum _ { n = 0 } ^ { \infty } 2 \cdot 2 ^ { n + 1 }$
B) $\sum _ { n = 0 } ^ { \infty } 2 ( - 2 ) ^ { n + 1 }$
C) $\sum _ { n = 0 } ^ { \infty } 2 \cdot 2 ^ { n }$
D) $\sum _ { n = 0 } ^ { \infty } 2 ( - 2 ) ^ { n }$