Find the Sum of the Infinite Geometric Series $3 + \frac { 15 } { 4 } + \frac { 75 } { 16 } + \ldots$

question 35

Multiple Choice

Find the sum of the infinite geometric series: $3 + \frac { 15 } { 4 } + \frac { 75 } { 16 } + \ldots$

• A) \(\frac { 7 } { 4 }\)
• B) 20
• C) 50
• D) no sum is possible

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Definitions:

Pectoralis Major

The pectoralis major is a large chest muscle that functions to flex, adduct, and internally rotate the humerus at the shoulder joint.

Serratus Anterior

A muscle on the side of the chest that assists in the upward movement of the arms and stabilizes the scapula.

Biceps Femoris

A thigh muscle belonging to the hamstrings group, responsible for bending the knee and extending the thigh.

Deltoid Muscle

The muscle that caps the shoulder, involved in arm rotation and preventing dislocation of the shoulder joint.