## Algebra 2 Common Core

Pattern: Divide the previous term by 2 Next term in the sequence: $\frac{x}{24}$
First, you must find the pattern. Each term is exactly 1/2 of the term before it, for example: $\frac{2x}{3}$ $\times$ $\frac{1}{2}$ = $\frac{x}{3}$ $\frac{x}{3}$ $\times$ $\frac{1}{2}$ = $\frac{x}{6}$ $\frac{x}{6}$ $\times$ $\frac{1}{2}$ = $\frac{x}{12}$ To find the next term in the sequence, you must divide the last term by 2 (or multiply by $\frac{1}{2}$): $\frac{x}{12}$ $\times$ $\frac{1}{2}$ = $\frac{x}{24}$