Two In One

Algebra Level 4

\[ \left (1 + 3 + 5 + \ldots + p^\text{th} \right ) \\ + \\ \left (1 + 3 + 5 + \ldots + q^\text{th} \right ) \\ = \\ \left (1 + 3 + 5 + \ldots + r^\text{th} \right ) \]

Given the above equation for positive integers \(p,q,r\) with \(p^\text{th} \) term greater than 39.

What is the smallest possible value of the expression below?

\[ \large p^\text{th} \ \text{term } + q^\text{th} \ \text{term } + r^\text{th} \ \text{term } \]

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