Insert four H.M.,s between 2/3 and 2/13.

Insert four G.M.s between 2 and 486.

Insert two numbers between 3 and 81 so that the resulting sequence is G.P.

Insert 6 Arithmetic Means between 3 and 24.

Example 8 Insert 6 numbers between 3 and 24 such that the resulting sequence is an A.P.

Insert three rational numbers between (3)/(5) and (2)/(3)

Insert 5 arthematical means between 3 and 15.

If nine arithmetic means and nine harmonic means are inserted between 2 and 3 alternatively, then prove that A+6//H=5 (where A is any of the A.M.'s and H the corresponding H.M.) dot

If n arithmetic means are inserted between 2 and 38, then the sum of the resulting series is obtained as 200. Then find the value of ndot

If eleven A.M. ‘s are inserted between 28 and 10, then find the number of integral A.M. ‘s.

If the distance between (2, 3) and (-5, 2) is equal to the distance between (x, 2) and (1,3), then the values of x are