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

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Find an expression for the nth n ^ { \text {th } } term of the sequence. (Assume that the pattern continues.) {225,436,649,864,1081,}\left\{ \frac { 2 } { 25 } , \frac { 4 } { 36 } , \frac { 6 } { 49 } , \frac { 8 } { 64 } , \frac { 10 } { 81 } , \cdots \right\}


Definitions:

Social Environment

The immediate physical and social setting in which people live or in which something happens or develops.

Concentric Market

A Concentric Market strategy involves targeting new markets with existing products by expanding outward from the core or current market, often leveraging similarities or adjacent customer needs.

Generic Competition

Competition between brands or products that fulfill the same needs without distinguishing features, often seen in commoditized markets.

Product Category

Classification of goods and services into groups that meet similar consumer needs or are targeted towards similar markets.

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