The unit hertz (abbreviated Hz) describes the number of cycles per second that occur for repeating behaviors. For example, the frequency of musical notes are measured in hertz because sound is formed by changes in air pressure caused by vibrations. If a note's frequency is 220 Hz it means that the note causes changes in air pressure that repeat 220 times per second. Higher frequency notes are perceived as having a higher pitch by humans (treble) and lower frequency notes are perceived as having a lower pitch (bass). The note A-440 (also called "Concert A") is often used as the baseline note for tuning instruments and has a frequency of 440 Hz. a. The frequencies of notes form a geometric sequence with a common ratio 2. Write an explicit formula giving the frequency a, of a not n notes higher than A-440. (Note: the notes are labeled, in order, as A, Bb, B, C, C#, D, Eb, E, F, F#, G, and G#. After G# the note name. repeat.) Preview b. An octave describes the interval between two notes such that the frequency of the higher note is twice that of the lower note. How many notes above A-440 must we go to reach a change of one octave? notes Preview

The unit hertz (abbreviated Hz) describes the number of cycles per second that occur for repeating behaviors. For example, the frequency of musical notes are measured in hertz because sound is formed by changes in air pressure caused by vibrations. If a note's frequency is 220 Hz it means that the note causes changes in air pressure that repeat 220 times per second. Higher frequency notes are perceived as having a higher pitch by humans (treble) and lower frequency notes are perceived as having a lower pitch (bass). The note A-440 (also called "Concert A") is often used as the baseline note for tuning instruments and has a frequency of 440 Hz. a. The frequencies of notes form a geometric sequence with a common ratio 2. Write an explicit formula giving the frequency a, of a not n notes higher than A-440. (Note: the notes are labeled, in order, as A, Bb, B, C, C#, D, Eb, E, F, F#, G, and G#. After G# the note name. repeat.) Preview b. An octave describes the interval between two notes such that the frequency of the higher note is twice that of the lower note. How many notes above A-440 must we go to reach a change of one octave? notes Preview