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The first term of a geometric sequence is 48, and the 5th term of the sequence is 243/16.

What are the geometric means between these terms?

Enter your answer by filling in the boxes to correctly complete the geometric sequence. Enter any fractions as simplified fractions.

48,_,_,_,243/16

Answer :

linandrew41

Answer:

Step-by-step explanation:

The geometric formula is [tex]a_{n} =a_{1} * r^{n-1}[/tex] where a1 is the first term and [tex]a_{n}[/tex] is the term at the nth position and r is the ratio.

Since 48 is the first term and 243/26 is the fifth term, we get the equation

[tex]\frac{243}{16} = 48*r^{5-1}[/tex]

thus r = 0.75

thus the three missing terms are 36, 27, 81/4

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