Express the Sum Using Summation Notation $\sum _ { k = 1 } ^ { 4 } \left( - \frac { 1 } { 4 } \right) ^ { k }$

question 91

Multiple Choice

Express the sum using summation notation.
- $\sum _ { k = 1 } ^ { 4 } \left( - \frac { 1 } { 4 } \right) ^ { k }$

• A) \(= \frac { 47 } { 256 }\)
• B) \(- \frac { 51 } { 256 }\)
• C) \(\frac { 51 } { 256 }\)
• D) \(\frac { 85 } { 256 }\)

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Definitions:

Bile Duct

The pathways through which bile flows from the liver to the small intestine, aiding in the digestion of fats.

Chronic Cholangitis

Long-term inflammation of the bile ducts, which can lead to scarring, liver damage, and other complications.

Obstruction

A blockage that prevents the normal flow of fluids or substances in the body, such as in the intestines or bile ducts.

Chronic Cholecystitis

A long-term inflammation of the gallbladder, often resulting from repeated attacks of acute cholecystitis.