Write the First Five Terms of the Sequence Whose Nth $a _ { n } = \frac { n } { n ^ { 2 } + 2 }$

question 38

Multiple Choice

Write the first five terms of the sequence whose nth term is shown.
- $a _ { n } = \frac { n } { n ^ { 2 } + 2 }$

• A) \(\frac { 1 } { 3 } , \frac { 1 } { 3 } , \frac { 3 } { 11 } , \frac { 2 } { 9 } , \frac { 5 } { 27 }\)
• B) \(\frac { 1 } { 2 } , \frac { 1 } { 3 } , \frac { 3 } { 8 } , \frac { 2 } { 5 } , \frac { 5 } { 12 }\)
• C) \(\frac { 1 } { 3 } , \frac { 1 } { 3 } , \frac { 3 } { 8 } , \frac { 2 } { 5 } , \frac { 5 } { 12 }\)
• D) \(\frac { 1 } { 4 } , \frac { 1 } { 3 } , \frac { 3 } { 8 } , \frac { 2 } { 5 } , \frac { 5 } { 12 }\)

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Definitions:

Milliliters Per Hour

A volumetric flow rate measurement, often used in medical IV fluid administration, defining the number of milliliters delivered over the course of an hour.

Drops Per Minute

A measure of liquid flow rate, often used in medical dosage or IV drips, indicating the number of droplets administered per minute.

Maintenance IV

Intravenous therapy administered to maintain fluid balance or provide consistent medication dosing over a period of time.

D5W

A solution of 5% dextrose (a form of glucose) in water, used as a vehicle for intravenous administration of drugs and fluids.