So guys what is A.P:-     The full form of A.P is arithmetic progression the collection of the numbers.with a suitable relation is called A.P.     Term related with A.P:-     Let we take 3,6,9,12...     Here 3 is first term of A.P so we denote it with a so a=3   a2=6   a3=9   So guys we denote the nth term with    An=a+(n-1)×d     Guys here is a new term d    Here d is common difference.   Means a2-a=d   Thus a3-a2=d   Here 6-3=3   9-6=3     So guys we can say that a collection of no. Is a.p if the difference between every term is same and this difference is called d or common difference       Here d=5 same for all       Let we take example 1,4,6,9   This is not A.P bcz here a2-a=3=d   a3-a2=6-4=2   Here we can see that the common difference is not same this is not a A.P.   Let we take another example  -3,-5,-7,-9....  Here we find d=-2  d=-7+5=-2  So here common difference is same so this is a A.P