Which term of the AP 72, 63, 54, ... is 0?

In the given AP, the first term = a = 72


Common difference = d = 63 - 72 = - 9


To find: place of the term 0.


So, let an = 0


Since, we know that


an = a + (n - 1) × d


0 = 72 + (n - 1) × (-9)


- 72 = - 9n + 9


- 72 - 9 = - 9n


- 9n = - 81


n = 9


9th term of the AP is - 81.

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