How do you find the geometric means in the sequence #9, , ,__,144#?

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Answer 1 · 2017-06-05T12:08:55

See explanation.

In the geometric sequence we have:

#a_1=9#, #a_5=144#.

We can write that:

#9*q^4=144#

#q^4=16#

#q=2 vv q=-2#

From those calculation we can deduce that the sequence can be:

#9,18,36,72,144# or #9,-18,36,-72,144#

How do you find the geometric means in the sequence #9,__ ,__ ,__,144#?