I'm bad at math! a bouncing ball reaches a height of 27 feet at its first peak, 18 feet at its second peak, and 12 feet at its third peak. describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak.

A bouncing ball issue reaches its next peak as some fraction or multiple of the previous peak, so, that'd make it a geometric sequence.

so, let's take a peek, 27, 18, 12

now, to get the common factor from a geometric sequence, since it's just a multiplier, if you divide any of the terms by the term before it, the quotient is then the common factor, let's do so with hmm say 12 and 18, 12/18 = 2/3  <---- the common factor, you can check if you so wish with 18/27.

and the first term is of course, 27.