Question

Insert 2 geometric means between -32 and 4

Answer 1

16, -8

Explanation:

Let the terms of the geometric sequence be
`a, ar, ar^2, ar^3`.

We know that
`a=-32` and thus,
`-32r^3=4 \implies r=-1/2`.

This means
`ar=(-32)(-1/2)=16` and
`ar^2=-32(1/2)^2=-8`.