How do you find the missing terms in the geometric sequence 32, __, 72, __, 162?

1 Answer
Nov 12, 2015

Answer:

Here is the sequence:

#32, 48, 72, 108, 162#

Explanation:

In a geometric series, we go from one term to another by multiplying by some number #r#. So if we call our first missing term #x#, we know the following:
#32 * r = x#
#x * r = 72#
substitute to find the following...
#32* r * r =72#

#r^2 =72/32#
#r^2=9/4#
#r=3/2#

now we can find the two missing terms...
#32 * 3/2 = 48#
#72*3/2 = 108#