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MathsJEE Main 28 Jan 2026, Shift 2·Q21·Numerical·Moderate

Sequences & Series · Telescoping series sum

If ∑r=125(rr4+r2+1)=pq\displaystyle\sum_{r=1}^{25}\left(\frac{r}{r^4 + r^2 + 1}\right) = \frac{p}{q}, where pp and qq are positive integers such that gcd⁡(p,q)=1\gcd(p, q) = 1, then p+qp + q is equal to .

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