## Algebra 1: Common Core (15th Edition)

You have the sequence 4,9,16,25. You have to determine if it is an arithmetic or geometric sequence: Arithmetic you have to find the common difference: 9-4=5 25-16=9 There is no common difference so this is not arithmetic. Geometric you have to find the common ratio: r=$\frac{9}{4}$=$\frac{9}{4}$ r=$\frac{25}{16}$=$\frac{25}{16}$ There is no common ratio. So the sequence is neither geometric or arithmetic.