What sequence is geometric and has 1/4 as it's fifth term and 1/2 as the common ratio?

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

What expression is equivalent to (2x-1)(x-3)?

Math each whole number with a rational,exponential expression