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

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

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

Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.

Insert five arithmetic means between 8 and 26. or Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.

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

Insert three numbers between 1 and 256 so that the resulting sequence is a G.P.

Insert three Geometric means between 1 and 256.

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

Insert 6 Arithmetic Means between 3 and 24.

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