Find the Sum of the Infinite Geometric Series $\sum _ { n = 0 } ^ { \infty } 4 \left( - \frac { 1 } { 2 } \right) ^ { n }$

question 127

Multiple Choice

Find the sum of the infinite geometric series. $\sum _ { n = 0 } ^ { \infty } 4 \left( - \frac { 1 } { 2 } \right) ^ { n }$

• A) \(- \frac { 8 } { 3 }\)
• B) \(\frac { 8 } { 3 }\)
• C) \(\frac { 4 } { 3 }\)
• D) \(- \frac { 4 } { 3 }\)
• E)undefined

---

Definitions:

Aggregate Function

In programming and database management, a function that performs a calculation on a set of values and returns a single value.

Mathematical Expression

A combination of numbers, symbols, and operators that represent a specific value or relationship.

Group Records

The operation of organizing data records into categories or groups based on shared characteristics in database management.

Total Row

A feature in spreadsheet software that allows for the automatic calculation of the sum, average, or other statistics for columns of numbers.