The nth term of an arithmetic series is 2-3n then find it's common difference

The nth term of an arithmetic series is 2-3n then find it's common difference

 Solution:-Given nth term of Ap=2-3n

Means, an=2-3n

So, an-1=2-3(n-1) 

     an-1=2-3n+3

             =5-3n

we know that, 

 common difference(d)=an-an-1

d=2-3n-(5-3n) 

d=2-3n-5+3n

d=-3 ans