First slide

Arithmetic progression

Question

In a certain A.P., 5 times the 5^th term is equal to 8 times ( 8^th term) then 13^th term is

Moderate

A

1
B

2
C

0
D

-1

Solution

$5 T_{5} = 8 T_{8}$
$\begin{aligned} \Rightarrow 5 (a + 4 d) = 8 (a + 7 d) \\ \Rightarrow 3 a + 36 d = 0 \\ \Rightarrow a + 12 d = 0 \\ \Rightarrow T_{13} = 0 \end{aligned}$

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