Find The $( r + 1 )$ Th Term in the Binomial Expansion

question 188

Multiple Choice

Find the $( r + 1 )$ th term in the binomial expansion.
$$( c + d ) ^ { n }$$

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

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Definitions:

Clinical Approach

A method in psychology that involves assessing and treating mental health disorders based on direct observation or interaction with patients.

Factor Analysis

A statistical technique that uncovers the fundamental factors or elements which account for the correlations observed among a collection of variables.

Subjective Bias

The tendency for personal judgments to be influenced by personal beliefs, opinions, and emotions rather than objective facts.

Objective

Not influenced by personal feelings or opinions in considering and representing facts.