The ratio of the second to seventh of n A.M.'s between - 7 and 65 is 1:7. Find n.

Find the A.M. between : 6 and -8.

Insert 3 A.M.’s between 3 and 19.

Find the A.M. between : 3.7 and 5.5.

There are n arithmetic means between 3 and 17. The ratio of the last mean to the first mean is 3: 1. Find the value of n.

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.

The ratio of the A.M. and G.M. of two positive numbers a and b, is m : n. Show that a:b=(m+ sqrt(m^2-n^2)): (m-sqrt(m^2-n^2)) .

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

The ratio of the sums of m and n terms of an A.P. is m^2: n^2 . Show that the ratio of m^(th) and n^(th) term is (2m - 1 ) : (2n -1).

Find the difference between 7/9 and 1/9.

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.