Isn't is the sum of differences ?

Calculus Level 3

Find the value of nn for which r=1nr4+r2+1r4+r=67526\displaystyle \sum_{r=1}^n \dfrac{r^4+r^2+1}{r^4+r}=\dfrac{675}{26}


You can try my other Sequences And Series problems by clicking here : Part II and here : Part I.
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