If ∑ from r=1 to 2s (r/(r⁴+r²+1)) ... | Sequences & Series | JEE Main 2026

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JEE MAIN 2026

28-01-2026 S2

Question

If $\sum_{r=1}^{2 s}\left(\frac{r}{r^4+r^2+1}\right)=\frac{p}{q}$, where $p$ and $q$ are positive integers such that $\operatorname{gcd}(p, q)=1$, then $p+q$ is equal to $\_\_\_\_$。

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