Respuesta :
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.
Amount of cell phone users increase by 33% every year. Uranium loses half of its weight every 415 years. A family of rabbits doubles in size every 3 months. Then the correct options are A, C, and D.
What is a geometric sequence and how to find its nth terms?
Suppose the initial term of a geometric sequence is a and the term by which we multiply the previous term to get the next term is r.
Then the sequence would look like
a, ar, ar², ar³,..... (till the terms to which it is defined)
Amount of cell phone users increase by 33% every year.
It's a geometric sequence because the number of users is increasing exponentially every year.
Uranium loses half of its weight every 415 years.
Exponential decay every 415 years. So geometric sequence with a common ratio of 1/2.
A family of rabbits doubles in size every 3 months.
Exponential series again so geometric sequence with a common ratio of 2.
Then the correct options are A, C, and D.
Learn more about geometric sequence here:
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