**1. Can the numbers in a geometric sequence go down?**

Yes, if the common ratio is a fraction the terms

willdecrease.

**2. What happens in a geometric sequence when the common ratio is negative?**

Each term will change sign, that is the sequence will oscillate.

e.g. A sequence with first term of 3 and a common ratio of -2 will be 3, -6, 12, -24, 48, ...

**3. Does the common ratio have to be the same between every pair of terms for a sequence to be an geometric sequence?**

Yes.