missing numbers in a geometric sequence

[hlep please]

In a geometric sequence of 2, _, _, _, 2592, how do I find the 3 missing values, and what are they?

 

[mmm4444bot]

In a geometric sequence of 2, _, _, _, 2592, how do I find the 3 missing values, and what are they?

Hello hlep. Let's begin with the definition of a geometric sequence. Do you know what it is?

Please follow the forum's posting guidelines and post what you've tried or your thoughts about this exercise, so that tutors may understand where to begin helping. Thank you! ?
[imath]\;[/imath]

 

[Dr.Peterson]

In a geometric sequence of 2, _, _, _, 2592, how do I find the 3 missing values, and what are they?

How many multiplications have been done to get from 2 to 2592? What might each of them have been?

 

[AvgStudent]

In a geometric sequence of 2, _, _, _, 2592, how do I find the 3 missing values, and what are they?

You are given [imath]a_1 = 2, a_5 = 2592\\[/imath]
Furthermore, they told you that it's a geometric sequence which means [imath]a_1\cdot r^{n-1} = a_n[/imath].
From here you can solve for [imath]r[/imath] and subsequently, use that to find the other [imath]n[/imath]-th terms.
Hope this helps