Find an Expression for The $n ^ { \text {th } }$

question 27

Short Answer

Find an expression for the $n ^ { \text {th } }$ term of the sequence. (Assume that the pattern continues.)
$$\left\{ \frac { 2 } { 25 } , \frac { 4 } { 36 } , \frac { 6 } { 49 } , \frac { 8 } { 64 } , \frac { 10 } { 81 } , \cdots \right\}$$

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Definitions:

Principal Diagnosis

The main medical condition diagnosed at the time of discharge from the hospital or end of a clinical encounter that primarily accounted for the patient's need for treatment or care.

Other Specified

Additional information that the physician specified and isn’t included in any other code description.

NEC

Not Elsewhere Classified (NEC) is a term used in coding and classification systems when a specific code for a condition or detail does not exist.

NOS

Not Otherwise Specified, a term used in medical coding and diagnosis when a more specific diagnosis cannot be made.