Q:

Which of the following situations models a geometric sequence? Select all that apply.

Accepted Solution

A:
Answer:Options 1, 3, 4.Step-by-step explanation:We will check each and every option given here.1) Amount of cell phone users increases by 33% every year.Its a geometric sequence because the number of users are increasing exponentially every year.2) Amount of cakes in bake sale increases by 3 each year the fundraiser is held.amount of cakes is increasing with a common difference of 3 so it's an arithmetic sequence.3).Uranium loses half of its weight every 415 years.Exponential decay in every 415 years. So geometric sequence with a common ratio of 1/2.4).A family of rabbits doubles in size every 3 months.Exponential series again so geometric sequence with a common ratio of 2.5).Car drives at a constant speed of 58 mph.Its a linear function representing an arithmetic sequence with a common difference of 58 mph.6). Number of students increases by 122 every year.An arithmetic sequence with a common difference of 122.7). Number of pieces of chalk in a class room decreases by 10 throughout the school year.It's an arithmetic sequence having common difference of 10.