Find the R Th Term in the Binomial Expansion $$( z + d ) ^ { n }$$

question 29

Multiple Choice

Find the r th term in the binomial expansion. $$( z + d ) ^ { n }$$

• A) \(\frac { n ! } { ( n - r ) ! r ! } z ^ { n - r } d ^ { r }\)
• B) \(\frac { n ! } { ( n + r - 1 ) ! ( r + 1 ) ! } z ^ { n + r - 1 } d ^ { r + 1 }\)
• C) \(\frac { n ! } { ( n - r + 1 ) ! ( r - 1 ) ! } z ^ { n - r } d ^ { r - 1 }\)
• D) \(\quad \frac { n ! } { ( n - r ) ! r ! } z ^ { n - r + 1 } d ^ { r - 1 }\)
• E) \(\frac { n ! } { ( n - r + 1 ) ! ( r - 1 ) ! } z ^ { n - r + 1 } d ^ { r - 1 }\)

---

Definitions:

Specialization

A process or strategy of focusing on a narrow area of knowledge or skill, often to achieve higher levels of expertise in that area.

Professional Psychology

The field that encompasses the application of psychological knowledge and techniques to solve practical problems in human behavior.

Clinical Psychology

Clinical psychology is a branch of psychology focused on diagnosing and treating mental, emotional, and behavioral disorders through various therapeutic techniques.

Empirical

Based on, concerned with, or verifiable by observation or experience rather than theory or pure logic.