nth term exercise of sequences & series

If the nth term of a sequence is an expressionof first degree in n,show that it is an A.P.

The nth term of a sequence is 3n-2 is the sequence an A.P.? If so,find its 10 th term.

If nth term of a sequences is 2n+b, wherea,b are constants,is the this sequence an A.P.?

The nth term of a sequence is 3n-2. Is the sequence an AP. If so,find its 10th term.

p : · If nth term of a sequence _is linear then sequence is in A.P. Converse of statement p is

If the sum of n tems of a series be 5n^(2)+3n find its nth term.Are the terms of this series in A.P.?

The difference between the nth term and (n-1)th term of a sequence is independent of n. Then the sequence follows which one of the following?

If nth term of a sequences is 4n^(2)+1, find the sequence.Is this sequences at A.P.?

If the sum of n terms of a series be a+bn+cn^(2) find the nth term and the nature of the series