\[\boxed{\mathbf{695\ (695).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ b_{n} = \frac{10}{n}\]
\[b_{2} = \frac{10}{2} = 5,\ \ b_{7} = \frac{10}{7},\]
\[\text{\ \ }b_{100} = \frac{10}{100} = 0,1\]
\[2)\text{\ b}_{n} = 5 - 2n\]
\[b_{2} = 5 - 4 = 1,\ \ \]
\[b_{7} = 5 - 14 = - 9,\ \ \]
\[b_{100} = 5 - 200 = - 195\]
\[\ 3)\ b_{n} = n² + 2n\]
\[b_{2} = 4 + 4 = 8,\ \ \]
\[b_{7} = 49 + 14 = 63,\ \ \]
\[b_{100} = 10\ 000 + 200 = 10\ 200\]
\[4)\ b_{n} = ( - 1)^{n + 1}\]
\[b_{2} = ( - 1)^{3} = - 1,\ \ \]
\[b_{7} = ( - 1)^{8} = 1,\]
\[\text{\ \ }b_{100} = ( - 1)^{101} = - 1\]