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

Algebra Level 3

7a7=11a11 7 a_7 = 11 a_{11}

In a non-constant arithmetic progression, 7 times the 7th7^\text{th} term is equal to 11 times the 11th11^\text{th} . Find the 18th18^\text{th} term of this arithmetic progression.

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