Question:
Choose the correct answer in each of the following questions:
Which term of the AP 72, 63, 54, ... is 0?
(a) 8th
(b) 9 th
(c) 10 th
(d) 11 th
Solution:
The given AP is 72, 63, 54, ... .
Here, a = 72 and d = 63 − 72 = −9
Suppose nth term of the given AP is 0. Then,
$a_{n}=0$
$\Rightarrow 72+(n-1) \times(-9)=0 \quad\left[a_{n}=a+(n-1) d\right]$
$\Rightarrow-9 n+81=0$
$\Rightarrow n=\frac{81}{9}=9$
Thus, the 9th term of the given AP is 0.
Hence, the correct answer is option B.