Question

How do you find the missing terms of the geometric sequence: 3,---,---,---,768?

Answer 1

`12`,
`48`,
`192`

Explanation:

In a geometric sequence you multiply by some number `r` to get to the next term. You can think of each comma as a sign telling you to multiply by `r`.

If we call our missing terms `a,b,c` we know that
`3*r = a`
`3*r*r = b`
`3*r*r*r = c`
aaand
`3*r*r*r*r = 768`
`3*r^4= 768`
`r^4= 768/3`
`r^4= 768/3`
`r^4= 256`
`r= 4`
now we can find `a,b,`and, `c` pretty easily
`a = 12`
`b = 48`
`c = 192`