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,__ ,__ ,__,1449,__ ,__ ,__,144?