Write the First Four Terms of the Sequence Whose General $$a _ { n } = \frac { ( n + 1 ) ! } { n ^ { 4 } }$$

question 17

Multiple Choice

Write the first four terms of the sequence whose general term is given.
- $$a _ { n } = \frac { ( n + 1 ) ! } { n ^ { 4 } }$$

• A) \(2 , \frac { 3 } { 8 } , \frac { 8 } { 27 } , \frac { 15 } { 32 }\)
• B) \(2 , \frac { 3 } { 8 } , \frac { 4 } { 27 } , \frac { 5 } { 64 }\)
• C) \(\frac { 1 } { 2 } , \frac { 3 } { 4 } , 2 , \frac { 15 } { 2 }\)
• D) \(\frac { 1 } { 2 } , \frac { 3 } { 4 } , 1 , \frac { 5 } { 4 }\)

---

Definitions:

Transposons

Genetic elements that can move to different positions within the genome of a single cell.

Plasmids

Small, circular DNA molecules found in bacteria and some other cells, independent of the chromosomes, often carrying genes beneficial for survival.

Genetic Information

The hereditary information encoded in DNA or, in the case of some viruses, RNA, which determines the biological development and function of an organism.

mRNA

Messenger RNA, a type of RNA that carries the genetic information from DNA in the nucleus to the cytoplasm, where it serves as a template for protein synthesis.