Determine Whether the Series Is Convergent or Divergent $$\sum _ { n = 1 } ^ { \infty } \frac { ( n ! ) ^ { 4 } } { ( 7 n ) ! }$$

question 79

Short Answer

Determine whether the series is convergent or divergent.
$$\sum _ { n = 1 } ^ { \infty } \frac { ( n ! ) ^ { 4 } } { ( 7 n ) ! }$$

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Definitions:

Free Association

A psychodynamic technique in which the patient describes any thought, feeling, or image that comes to mind, even if it seems unimportant.

Psychodynamic Therapy

A therapy approach that emphasizes understanding the psychological forces that underlie human behavior, feelings, and emotions and how they might relate to early experiences.

Mood-Stabilizing Drugs

Medications used to treat mood disorders, including bipolar disorder, by preventing extreme variations in mood and helping to maintain emotional balance.

Neurotransmitters

Chemical substances that transmit signals across a synapse from one neuron to another in the nervous system.