Question

If in a A.P., $5$ times the $5^{\text{th}}$ term is equal to $8$ times the $8^{\text{th}}$ term, then the value of ${13}^{\text{th}}$ is

• A. $0$
• B. $1$
• C. $2$
• D. $3$

Answer 1

The correct option is A $0$

Given : $5T_5=8T_8$
$\Rightarrow 5(a+4d)=8(a+7d)\Rightarrow 3a+36d=0\Rightarrow a+12d=0\therefore T_{13}=0$