Find the Indicated Partial Sum of the Series $\sum _ { i = 1 } ^ { \infty } 4 \left( - \frac { 1 } { 2 } \right) ^ { i }$

question 52

Multiple Choice

Find the indicated partial sum of the series. $\sum _ { i = 1 } ^ { \infty } 4 \left( - \frac { 1 } { 2 } \right) ^ { i }$ fourth partial sum

• A) \(\frac { 3 } { 4 }\)
• B) \(- \frac { 17 } { 12 }\)
• C) \(\frac { 11 } { 4 }\)
• D) \(\frac { 1 } { 4 }\)
• E) \(- \frac { 5 } { 4 }\)

---

Definitions:

Southern States

The states in the southeastern and south-central United States, historically known for their agricultural economy and being pro-slavery before the Civil War.

1876

The year marked by significant events such as the centennial of the United States and the disputed presidential election between Rutherford B. Hayes and Samuel J. Tilden.

Freedpeople

Former slaves who were emancipated during and after the American Civil War.

Reconstruction Era

The period from 1865 to 1877 following the Civil War, focused on rebuilding the United States and integrating formerly enslaved people into society.