Is 0 a term of the AP 31, 28, 25, …? Justify your answer.

Explanation

Let 0 be the nth term fo given AP.i.e., `a_(n)=0`.
Given that, first term `a = 31`, common difference, `d=28-31= -3`
The nth terms of an Ap, is
` " " a_(n)=a +(n-1)d`
` implies 0=31+(n-1)(-3)`
`implies 3(n-1)=31`
` implies n-1=(31)/(3)`
` :. n=(31)/(3)+1=(34)/(3)=11(1)/(3)`
Since, n should be positive integer. So, 0 is not a term of the given AP.