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

1 Answer
Nov 12, 2015

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