Write the First Four Terms of the Sequence Whose General $$a _ { n } = \frac { n ^ { 2 } } { ( n - 1 ) ! }$$

question 38

Multiple Choice

Write the first four terms of the sequence whose general term is given.
- $$a _ { n } = \frac { n ^ { 2 } } { ( n - 1 ) ! }$$

• A) \(1,4 , \frac { 9 } { 2 } , \frac { 8 } { 3 }\)
• B) \(2,4,3 , \frac { 4 } { 3 }\)
• C) \(\frac { 2 } { 0 } , \frac { 4 } { 0 } , 3 , \frac { 4 } { 3 }\)
• D) \(\frac { 1 } { 0 } , \frac { 4 } { 0 } , \frac { 9 } { 2 } , \frac { 8 } { 3 }\)

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Definitions:

Quartet

A term used in NMR spectroscopy referring to a signal split into four peaks due to coupling with three equivalent neighboring nuclei.

Spectral Data

Information derived from spectrometry, which provides insights into the structure and composition of substances by analyzing their electromagnetic spectrum.

NMR

Nuclear Magnetic Resonance, a spectroscopic technique used to obtain structural information about molecules based on the interaction of nuclear spins when placed in a magnetic field.

IR

Infrared spectroscopy, a technique used to analyze and identify chemical substances based on their interaction with infrared light.