Find the Sum of the Series $\sum _ { n = 4 } ^ { \infty } \ln \left( \frac { n + 1 } { n } \right)$

question 303

Multiple Choice

Find the sum of the series $\sum _ { n = 4 } ^ { \infty } \ln \left( \frac { n + 1 } { n } \right)$ .

• A) \(\frac { 1 } { 4 }\)
• B) \(\frac { 1 } { 3 }\)
• C)0
• D)ln 2
• E) \(\frac { 3 } { 4 }\)
• F) \(\ln ( n + 1 )\)
• G) \(\ln \frac { 3 } { 2 }\)
• H)Divergent

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Definitions:

Degrees Of Freedom

The quantity of independent values or measures that can be allocated to a statistical distribution.

Critical Value

A point on the scale of the test statistic beyond which we reject the null hypothesis; it is the threshold at which the level of significance is set.

Regression Analysis

A statistical method for estimating the relationships among variables, often used to predict the value of one variable based on others.

Independent Variables

Variables in an experimental setup that are changed or controlled to test their effects on dependent variables.