Question:
Which term of the AP 21, 18, 15,... is zero?
Solution:
In the given AP, first term, a = 21 and common difference, d = (18 - 21) = -3
Let's its nth term be 0.
Then Tn = 0
⇒ a + (n - 1)d = 0
$\Rightarrow 21+(n-1) \times(-3)=0$
$\Rightarrow 24-3 n=0$
$\Rightarrow 3 n=24$
$\Rightarrow n=8$
Hence, the 8th term of the given AP is 0.