gaokao 2025 Q9

gaokao · China · national-II 6 marks Geometric Sequences and Series True/False or Multiple-Statement Verification
Let $S_n$ denote the sum of the first $n$ terms of a geometric sequence $\{a_n\}$, and let $q$ be the common ratio of $\{a_n\}$, $q > 0$. If $S_3 = 7$, $a_3 = 1$, then
A. $q = \frac{1}{2}$
B. $a_5 = \frac{1}{9}$
C. $S_5 = 8$
D. $a_n + S_n = 8$
Let $S_n$ denote the sum of the first $n$ terms of a geometric sequence $\{a_n\}$, and let $q$ be the common ratio of $\{a_n\}$, $q > 0$. If $S_3 = 7$, $a_3 = 1$, then\\
A. $q = \frac{1}{2}$\\
B. $a_5 = \frac{1}{9}$\\
C. $S_5 = 8$\\
D. $a_n + S_n = 8$