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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