Modeling from a Sequence
A soccer coach is getting her students ready for the season by introducing them to High Intensity Interval Training (HIIT). She presents the table below with a list of exercises for a HIIT training circuit and the length of time that must be spent on each exercise before the athlete gets a short time to rest. The rest times increase as students complete more exercises in the circuit. Study the chart and answer the questions below. How long would the tenth exercise be? If a player had 30 minutes of actual gym time during a period, how many exercises could she get done? Explain your answers.
Determine whether the sequence below is arithmetic or geometric, and find the function that will produce any given term in the sequence:
16, 24, 36, 54, 81, …
Is this sequence arithmetic?
Is the sequence geometric?
What is the analytical representation of the sequence?
Look at the sequence and determine the analytical representation of the sequence. Show your work and reasoning.
A sequence is a list of numbers or objects in a special order.
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