How About The \((7+11=18)^\text{th}\) Term?

Algebra Level 3

\[ 7 a_7 = 11 a_{11} \]

In a non-constant arithmetic progression, 7 times the \(7^\text{th} \) term is equal to 11 times the \(11^\text{th} \). Find the \(18^\text{th} \) term of this arithmetic progression.

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