If the sum to n terms of a sequence be `n^2+2n` then prove tht the sequence is an A.P.

If the sum to n terms of a sequences is 2n^(2)+4, find its nth.Is this seqwuence as AP?

If the sum of n terms of sequence S_(n)=(n)/(n+1)

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

The sum of n terms of a series is (3n^(2)+2n) . Prove that it is an A.P.

A sequence is called an A.P if the difference of a term and the previous term is always same i.e if a_(n+1)- a_(n)= constant ( common difference ) for all n in N For an A.P whose first term is 'a ' and common difference is d has n^(th) term as t_n=a+(n-1)d Sum of n terms of an A.P. whose first term is a, last term is l and common difference is d is S_(n) = n/2 (2a +(n-1)d)=n/2 (a+a+(n-1)d)= n/2 (a+l) If sum of n terms S_n for a sequence is given by S_n=An^2+Bn+C , then sequence is an A.P. whose common difference is

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

If the sum of n terms of an A.P is 2n+3n^(2) , find the r^(th) term

If the sum of n terms of a sequence is quadratic expression it always represents an AP.

If the sum of first n terms of an A.P. is 3n^(2)-2n , then its 19th term is