# An algebra problem by Akshat Sharda

Algebra Level 3

If $$A_{1},A_{2},A_{3},\ldots$$ is an arithmetic progression, then find the value of $$\displaystyle \sum^{2n}_{i=1}(-1)^{i}\left( \dfrac{A_{i}+A_{i+1}}{A_{i}-A_{i+1}}\right)$$.

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