Determine If the Series Converges or Diverges; If the Series $$\sum _ { n = 0 } ^ { \infty } \left( 1 + \frac { - 3 } { n } \right) ^ { 3 n }$$

question 125

Multiple Choice

Determine if the series converges or diverges; if the series converges, find its sum.
- $$\sum _ { n = 0 } ^ { \infty } \left( 1 + \frac { - 3 } { n } \right) ^ { 3 n }$$

• A) Converges; \(\mathrm { e } ^ { - 9 }\)
• B) Converges; \(\frac { 1 } { | - 3 | - 1 }\)
• C) Converges; \(\frac { 1 } { | - 3 | + 1 }\)
• D) Diverges

Grasp the concept and applications of Bayes' theorem in computing posterior probabilities.

Determine the sample space size in multiple-step experiments.

Understand the addition law of probability and its application in calculating the union of events.

Understand the various factors that led to the secession of the southern states following Lincoln's election.

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