Algebra 1

The sequence: 4.5, 9, 18, 36, ... Finding the pattern: Difference between 1st and 2nd term: 2nd term-1st term=Difference 9-4.5=4.5 Difference between 2nd and 3rd term: 3rd term-2nd term=Difference 18-9=9 We see that the difference is not constant thus the sequence is not arithmetic. Thus we need to find the ratio between consecutive terms. Ratio of first and second term $\frac{Second term}{first term}$=Ratio =$\frac{9}{4.5}$ =2 Ratio of Second and third term $\frac{third term}{Second term}$=Ratio =$\frac{18}{9}$ =2 Ratio of Third and Fourth term $\frac{Fourth term}{third term}$=Ratio =$\frac{36}{18}$ =2 Therefore, the previous term is being multiplied by 2 Finding the next two terms: Fifth term= Fourth term $\times$ 2 = 36 $\times$ 2 = 72 Sixth term= Fifth term $\times$ 2 = 72 $\times$ 2 = 144 Therefore the next two terms are 72 and 144