Arithmetic progression 3.

Algebra Level 4

The sum of two numbers $$a$$ and $$b$$ is $$\dfrac{13}{6}$$. Between $$a$$ and $$b$$, we have $$2n$$ terms which forms an AP of $$2n+2$$ terms. The sum of these $$2n$$ terms is equal to $$2n+1$$. Find the value of $$n$$.

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