Question

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

Answer 1

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`