Answer:
Given, A.P is 18, 16, 14??. We have, \[a=18,\text{ }d=16-18=14-16=-\text{ }2\] Now, \[{{S}_{n}}=0\] Therefore, \[{{S}_{n}}=\frac{n}{2}[2a+(n-1)d]=0\] \[\Rightarrow \,\frac{n}{2}[2\times 18+(n-1)(-2)]=0\] \[\Rightarrow \,36-2n+2=0\] \[\Rightarrow \,2n=38\] \[\therefore \,n=19\] Hence, the no. of terms are 19.
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