If the ratio of sum of m terms of an A.P. to the sum of n terms is (2m + 1) : (3n +1), find the ratio of 7th to 10th term

If the ratio of the sum of m terms of an A.P. to the sum of n terms is m2 : n2. Show that the ratio of the 5th to 11th term is 3 : 7.

If the sum of n terms of two arithmetic series are in the ratio. ,- (2 + 3n) : (3 + 2n). Find the ratio of their 7th term.

If the sum of n terms of two arithmetic series are in the ratio. ,- (6n + 1) : (4n + 21). Find the ratio of their 8th term.

If the sum of n terms of two A.P.s are in the ratio 7n + 1 : 4n + 27. Find the ratio of their 11^(th) terms.

Show that the ratio of the sum of first n terms of a G.P. to the sum of terms from (n+ 1)th to (2n)th term is 1/r^n .

Determine an A.P. whose sum of n terms is n (n + 2). Find also the 21st term.

The sum of n terms of two arithmetic series are in the ratio of (7n + 1)/(4n + 27) . Find the ratio of their 12th terms.

Find the sum of 40 terms of an A.P. whose third term is 1 and 6th term is - 11.

If the sum of first 10 terms of an A.P. is 4 times the sum of its first 5 terms, then find the ratio of first term and common difference.

The sum of n terms of arithmetic progressions are in the ratio (3n+ 8): (7n+ 15). Find the ratio of their 12th terms.