# 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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