Here, a = 21, d = – = – and if an = – , we have to find n.
As an = a + ( n – 1) d,
we have – = 21 + (n – 1)(– )
– = – n
– = – n
So, n =
Therefore, the 35th term of the given AP is – 81
Next, we want to know if there is any n for which an = 0. If such n is there, then
a + (n - 1) d = 0
+ (n – 1) (–) = 0,
i.e., (n – 1) =
i.e., n =
So, the eighth term is .