12,18,27,...
What is the 7th term in the sequence?

Step-by-step explanation:

Given

12, 18, 27, ..

Required

Determine the 7th term

The above sequence shows a geometric sequence and the nth term is calculated by:

r is calculated by:

--- First term

So:

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!