If \( \mathrm{f}(\mathrm{x})+\mathrm{f}(\mathrm{x}+4)=\mathrm{f}(\m...

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If \( \mathrm{f}(\mathrm{x})+\mathrm{f}(\mathrm{x}+4)=\mathrm{f}(\mathrm{x}+2)+\mathrm{f}(\mathrm{x}+6) \forall \mathrm{x} \in \mathrm{R} \), and \( \mathrm{f}(5)=10 \)
\( \mathrm{P} \) then \( \sum_{\mathrm{r}=1}^{100} \mathrm{f}(5+8 \mathrm{r}) \) equal to

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