Determine the Number of Terms Sufficient to Obtain the Sum $\sum _ { n = 0 } ^ { \infty } \frac { ( - 4 ) ^ { n + 3 } } { ( n + 1 ) ! }$

question 145

Multiple Choice

Determine the number of terms sufficient to obtain the sum of the series accurate to three decimal places. $\sum _ { n = 0 } ^ { \infty } \frac { ( - 4 ) ^ { n + 3 } } { ( n + 1 ) ! }$

• A) 16
• B) 19
• C) 18
• D) 17

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Definitions:

Developing Country

A nation characterized by a lower level of industrialization, economic activity, and human development index compared to developed countries.

Average Prevalence

The typical rate or extent to which a particular disease or condition is found in a population over a specific time period.

Theorist

An individual who proposes, develops, or supports theories in a particular field of study.

Symptoms

Physical or mental features that are regarded as indicating a condition of disease, particularly such features that are apparent to the patient.