To determine the type of rest used on the last beat of the last measure, we need to analyze the rhythm indicated in a four-four time signature.
In a four-four measure, the total value of the notes and rests must equal four beats. You mentioned that the last measure contains a quarter note and a half note. Here's how we calculate their combined value:
- A quarter note = 1 beat
- A half note = 2 beats
So far, we have:
1 (quarter note) + 2 (half note) = 3 beats
Since the measure has a total of 4 beats, and we already have 3 beats accounted for, there is 1 beat left for the rest on the last beat.
In this case, since 1 beat is represented by the following options:
- sixteenth = 0.25 beats
- eighth = 0.5 beats
- quarter = 1 beat
- half = 2 beats
The only option that fits for the remaining 1 beat is a quarter rest.
Therefore, the type of rest used on the last beat of the last measure is 3. quarter.