Question on nth terms in A.P.

Questions on Sum of n terms in A.P.

For what value of n, the nth term of A.P. 63, 65, 67,……... and nth term of A.P. 3. 10. 17. ...... are equal to each other?

Find the second term and nth term of an A.P. whose 6th term is 12 and the 8th term is 22.

Find the sum of n terms of an A.P. whose nth term is (2n+1).

If the sum of n terms of an A.P. is 2n^2+3n then write its nth term.

Find the sum to n terms of an A.P. whose nth terms is t_n=5+6n,n in N.

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.?

If the ratio of the sum of m terms and n terms of an A.P. be m^2 : n^2 , prove that the ratio of its mth and nth terms is (2m-1): (2n-1) .

If the sum of n terms of an A.P. is 2n^2+5n ,\ then its nth term is a. 4n-3 b. 3n-4 c. 4n+3 d. 3n+4