gaokao 2024 Q12

gaokao · China · national-II 5 marks Arithmetic Sequences and Series Compute Partial Sum of an Arithmetic Sequence
Let $S _ { n }$ denote the sum of the first $n$ terms of an arithmetic sequence $\left\{ a _ { n } \right\}$. If $a _ { 3 } + a _ { 4 } = 7$ and $3 a _ { 2 } + a _ { 5 } = 5$, then $S _ { 10 } =$ $\_\_\_\_$ .
Let $S _ { n }$ denote the sum of the first $n$ terms of an arithmetic sequence $\left\{ a _ { n } \right\}$. If $a _ { 3 } + a _ { 4 } = 7$ and $3 a _ { 2 } + a _ { 5 } = 5$, then $S _ { 10 } =$ $\_\_\_\_$ .