Express the Sum in Sigma Notation $$\frac { 1 } { 2 } + \frac { 1 } { 4 } + \frac { 1 } { 8 } + \frac { 1 } { 16 }$$

question 155

Multiple Choice

Express the sum in sigma notation.
- $$\frac { 1 } { 2 } + \frac { 1 } { 4 } + \frac { 1 } { 8 } + \frac { 1 } { 16 }$$

• A) \(\sum _ { \mathrm { k } = 1 } ^ { 4 } \left( \frac { 1 } { 2 } \right) ^ { \mathrm { k } - 1 }\)
• B) \(\sum _ { \mathrm { k } = 0 } ^ { 4 } \left( \frac { 1 } { 2 } \right) ^ { \mathrm { k } + 1 }\)
• C) \(\sum _ { k = 1 } ^ { 4 } \left( \frac { 1 } { 2 } \right) ^ { k }\)
• D) \(\sum _ { k = 1 } ^ { 5 } \left( \frac { 1 } { 2 } \right) ^ { k - 1 }\)

---

Definitions:

Expected Income

The amount of income an individual or entity anticipates earning over a specific period.

Utility

An economic term referring to the total satisfaction received from consuming a good or service.

Utility

A measure of satisfaction, usefulness, or pleasure obtained from consuming goods and services.

Well-being

The state of being comfortable, healthy, or happy; often used to refer to economic, social, and health status of individuals or populations.