Show that a sequence is an `AdotPdot` if its `n t h` term is a linear expression in `n` and in such a case the common difference is equal to the coefficient of `n` .

Show that a sequence is an Adot P .if its nth term is a linear expression in n and in such a case the common difference is equal to the coefficient of n .

Show that a sequence is an A.P.if its nth term is a linear expression in n and in such a case the common difference is equal to the coefficient of n.

Show that the sequence is an A.P. if its nth term is linear expression in n and in such a case the common difference is equal to the coefficient of ndot

Show that the sequence is an A.P.if its nth term is linear expression in n and in such a case the common difference is equal to the coefficient of n.

(V)A Sequence is an AP ; if its nth term is linear expressions in n i.e.a_(n)=An+B where A and B are constants.In such a case the cofficients of n is a_(n) is the common difference of AP.

If the first term of an A.P. is a and n t h term is b , then its common difference is

If the first term of an A.P. is a and n t h term is b , then its common difference is

Show that the sequence defined by a_n=2n^2+1 is not an AdotPdot

(vi)A sequence is an AP if the sum of its first n terms is of the form An^(2)+Bn where A and B are constants independent of n. In such a case the common difference is 2A

Write the common difference of an A.P. whose n t h term is a_n=3n+7 .