Geometric sequences

Lessons

1. Geometric sequence formula
   Consider the geometric sequence: 2, 6, 18, 54, … .
   1. Identify the common ratio.
   2. Determine the sixth term of the sequence.
   3. Which term in the sequence has a value of 39366?
2. Determine $t_1,r,t_n$ for the sequences in which two terms are given:
   $t_3=18$, $t_6=486$
3. Three consecutive terms of a geometric sequence are written in the form
   $5(x+2),8-x,x-2$
   Find the common ratio and the possible value of each of the three terms.