Câu hỏi 112
Tính tổng
$$
\frac{2^{4}+2^{2}+1}{2^{7}-2}+\frac{3^{4}+3^{2}+1}{3^{7}-3}+\ldots+\frac{2003^{4}+2003^{2}+1}{2003^{7}-2003}+\frac{1}{2 \cdot 2003 \cdot 2004}
$$
$$
\frac{2^{4}+2^{2}+1}{2^{7}-2}+\frac{3^{4}+3^{2}+1}{3^{7}-3}+\ldots+\frac{2003^{4}+2003^{2}+1}{2003^{7}-2003}+\frac{1}{2 \cdot 2003 \cdot 2004}
$$