Sum of n Terms of an A.P

If S_(1),S_(2),......,S_(p) are the sums of n terms of an A.P

If for every n in N , sum to n terms of an A.P. is 5n^(2)+7n then is 10th term is

The ratio of sum of m terms to the sum of n terms on an A.P is m^(2):n^(2) .If T_(k) is the K^(th) term, then T_(5)/T_(2) is (A) 6 (B) 5 (C) 4 (D) 3

Questions on Sum of n terms in A.P.

The ratio of the sum of n terms of two A.P.'s is (7n+1):(4n+27). Find the ratio of their mth terms.

If sum of n terms in an A.P is ((5n^2)/2+(3n)/2) then find its 20th term

The ratio of the sum of n terms of two A.P.'s is (7n-1):(3n+11), find the ratio of their 10th terms.

The ratio of the sum of n terms of two A.P.'s is (3n+1):(4n+3). Find the ratio of their mth terms.