To Quickly Find the Sum of a List of Fractions $\frac { 1 } { 2 } + \frac { 1 } { 4 } + \frac { 1 } { 8 } + \frac { 1 } { 16 } + \frac { 1 } { 32 } + \frac { 1 } { 64 } + \frac { 1 } { 128 }$

question 1

Essay

To quickly find the sum of a list of fractions, such as $\frac { 1 } { 2 } + \frac { 1 } { 4 } + \frac { 1 } { 8 } + \frac { 1 } { 16 } + \frac { 1 } { 32 } + \frac { 1 } { 64 } + \frac { 1 } { 128 }$ mathematicians use the formula $S = \frac { b \left( 1 - r ^ { k } \right) } { 1 - r }$ Solve the formula for b .

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Definitions:

Anticoagulants

Substances that prevent clotting.

Lovenox

A brand name for enoxaparin, an anticoagulant medication used to prevent and treat blood clots.

Bloodstream

The network of blood vessels through which blood circulates throughout the body.

Absorption

The process by which substances are taken up into or across tissues, such as the uptake of nutrients by the digestive system.