Write the First Four Terms of the Sequence $$a _ { n } = \frac { n ^ { 5 } } { ( n + 1 ) ! }$$

question 77

Multiple Choice

Write the first four terms of the sequence.
- $$a _ { n } = \frac { n ^ { 5 } } { ( n + 1 ) ! }$$

• A) \(\frac { 5 } { 2 } , \frac { 5 } { 3 } , \frac { 5 } { 4 } , 1\)
• B) \(\frac { 1 } { 2 } , \frac { 16 } { 3 } , \frac { 81 } { 8 } , \frac { 128 } { 15 }\)
• C) \(\frac { 5 } { 2 } , \frac { 5 } { 3 } , \frac { 5 } { 8 } , \frac { 1 } { 6 }\)
• D) \(\frac { 1 } { 2 } , \frac { 16 } { 3 } , \frac { 81 } { 4 } , \frac { 256 } { 5 }\)

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Definitions:

Extrinsic Mortality

The death rate from external factors, outside the organism's control, such as predation or accidents, as opposed to intrinsic factors like aging.

Mutations

Permanent alterations in the DNA sequence of an organism's genome, which can lead to diversity within species and potentially new species over time.

Aging

The complex biological process of getting older, characterized by a gradual decline in physical and cognitive functions.

Ovaries

Female reproductive organs in animals and plants that produce eggs or ovules and, in vertebrates, also secrete hormones.