Geometric Sequence- an example is 1, 5, 25, 125. Common Ratio- solve by dividing any term by its previous term.

Arithmetic, geometric and Arithmetic. 1. 256, 128, 64, 32...64-32= 32/64=1/2. 64/128=1/2. 128/256=1/2. So the rations are constant and the common ratio or 1/2, and the sequence is geometric. 4, 9, 12, 18. 9/4=2 1/4. 12/9=1 1/3. 18/12=1 1/2. The ratios are not the same so the sequence is not the same.

How to find the next terms in your sequence? 1. 1, -4, 16, -64. -4/1= -4. -4/16= -4. 16/-64= -4. Multiply each number by the common ratio -64 • -4, 256 • -4, -1024 • -4. Those are the next three numbers in the sequence.