Insert 5 geometric means between 9 and `(64)/(81)`. Also show that their product is the 5th power of the G.M. between the given numbers.

Insert 4 geometric means between 6 and 192.

Insert 5 arithmetic means between 8 and 26.

The geometric mean between -9 and -16 is

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

If G_1 is the first of n geometric means between a and b, show that : G_1^(n+1) =a^n b .

Insert 100 rationals numbers between -5/13 and 8/13 .

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