Geometric Sequence

Question

Find the indicated term of each sequence:

 

The sixth term of the geometric sequence

 

1/2, 3/2, 9/2, ...

Answer 1

Rob, this relies on powers of 3.  If we let the first term be 0, the 3⁰/2 = 1/2, 3¹/2 = 3, etc

 

Since we are starting with 0, the 6th term would be 3⁵/2 = 243/2

 

Hope this helps!