Find the three positive geometric means between 3 and 48/625

A. 9/5, 27/25, 81/125

B. 6/5, 12/25, 24/125

C. 3/5, 3/25, 3/125

D. 1, 1/3, 1/9

Step-by-step explanation:

Let the geometric means to be inserted be x, y and z. The geometric series will contain 5 terms as shown:

3, x, y, z, 48/625

Using the nth term of a geometric sequence to find the missing term.

where:

a is the first term

n is the number of terms and

r is the common ratio

From the sequence, a = 3

Since the fifth term is 48/625 then:

To get the 2nd, 3rd and 4th term, we will substitute the value of the first term and the common ratio in the equation given.

when n = 3;

when n = 4;

The three positive geometric mean are 6/5, 12/25, 24/125

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step-by-step explanation: