Insert 4 geometric means between 3 and 96. Also show that their product of the 4th power of the G.M. between them.

Insert 4 geometric means between 6 and 192.

Insert 6 arithmetic means between 3 and 24.

Insert 3 arithmetic means between : 3 and 15.

Insert 3 arithmetic means between : 5 and 21.

Insert five geimetrec means between (1)/(3) and 9 and verify that their product is the fifth power of the geometric mean between (1)/(3) and 9.

Insert 6 harmonic means between 3 and (6)/(23)

Insert 10 A.M.’s between 5 and -17 and prove that their sum is ten times the A.M. between them.

Insert 3 A.M.’s between 3 and 19.

A rational number between 3 and 4 is :

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