Suppose \( n \) consecutive geometric terms are inserted between \( 1 \) and \( 2 \). Write the sum of these \( n \) terms in terms of \( n \). $$ \Large \underbrace{1, \overbrace{u_1, u_2, u_3, \cdots, u_{n}}^{S_n}, 2}_{S_{n+2}} $$ \( \require{AMSsymbols} \displaystyle \begin{align} S_{n+2} &= 1+u_1 + u_2 + u_3 + \cdots […]
