## Algebra 1

a) $\frac{1}{4}$ b) $\frac{5}{16}$, $\frac{5}{64}$, $\frac{5}{256}$
a) $\frac{1}{4}$ is the common ratio because each number in the sequence is $\frac{1}{4}$ of the number before it. In other words, each number in the sequence is being multiplied by $\frac{1}{4}$ (or divided by 4). As a result, this is the common ratio. b) To find the following numbers in the sequence, simply multiply the last number by $\frac{1}{4}$: $\frac{5}{4}$ x $\frac{1}{4}$ = $\frac{5}{16}$ $\frac{5}{16}$ x $\frac{1}{4}$ = $\frac{5}{64}$ $\frac{5}{64}$ x $\frac{1}{4}$ = $\frac{5}{256}$