$$\begin{gathered} 1. Let b_i > 1 for i = 1, 2, ... , 101. Suppose {\log }_e{b}_1, {\log }_e{b}_2, ... , {\log }_e{b}_{101} are in AP with the common difference {\log }_{e}2. Suppose a_1, a_2, ... , a_{101} are in AP, such that a_1 = b_1 and a_{51} = b_{51}. If t = b_1 + b_2 + ... + b_{51} and s = a_1 + a_2 + ... + a_{51}, then \\ \left(a\right) s > t and a_{101} > b_{101} \\ \left(b\right) s > t and a_{101} < b_{101} \\ \left(c\right) s < t and a_{101} > b_{101} \\ \left(d\right) s < t and a_{101} < b_{101} \end{gathered}$$