If 4 seconds go by between the crest of one wave and the crest of another, what is the period of this wave?

The period of a wave is the time it takes for one complete cycle to occur. In this case, the period of the wave would be the total time between the crest of one wave and the crest of the next wave. Since 4 seconds go by between the crest of one wave and the crest of another, the period of this wave would be 4 seconds.