Determine Whether the Series Is Convergent or Divergent $\sum _ { n = 1 } ^ { \infty } 5 \left( \frac { 3 } { 4 } \right) ^ { n - 1 }$

question 63

Short Answer

Determine whether the series is convergent or divergent. If it is convergent, write its sum. Otherwise write divergent. $\sum _ { n = 1 } ^ { \infty } 5 \left( \frac { 3 } { 4 } \right) ^ { n - 1 }$

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Definitions:

Phenylalanine

An essential amino acid that cannot be produced by the body and must be obtained from the diet, used in the biosynthesis of proteins.

Phenylketonuria

A genetic disorder characterized by the body's inability to break down the amino acid phenylalanine, requiring dietary restrictions from early life.

Genetic Disorder

A disease or condition caused by abnormalities in an individual's genome; can be inherited or result from a new mutation.

Specific Gravity

A measure of the density of a substance compared to the density of water at a specified temperature.