# A hidden GP in an AP!

Algebra Level 2

The $$2nd$$, $$6th$$ and $$8th$$ terms of an Arithmetic Progression form a Geometric Progression. The common ratio of the G.P can be expressed as $$\frac{a}{b}$$ where $$a$$ and $$b$$ are coprime integers. What is the value of $$a+b$$?

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