\[\boxed{\mathbf{770\ (770).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[c_{n} = 5n - 2\]
\[c_{1} = 5 \cdot 1 - 2 = 3,\]
\[\text{\ \ }c_{26} = 5 \cdot 26 - 2 =\]
\[= 130 - 2 = 128\]
\[S_{26} = \frac{c_{4} + c_{26}}{2} \cdot 26 =\]
\[= \frac{3 + 128}{2} \cdot 26 =\]
\[= 131 \cdot 13 = 1703.\]