Question

Question number 17 please solve by step

Answer 1

here is the answer to your question

Answer 2

$T_{16} = a + 15d$

$S_{31} = 961 \\ \\ \Rightarrow \frac{n}{2} (2a + (n - 1)d) = 961 \\ \\ \Rightarrow \frac{31}{2} (2a + 30d) = 961$

$\Rightarrow 2a + 30d = \frac{961 \times 2}{31} \\ \\ \Rightarrow 2(a + 15d) = 62 \\ \\ \Rightarrow a + 15d = \frac{62}{2}$

$\Rightarrow T_{16} = 31$