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EleoNora [17]
3 years ago
8

Shiloh and her friends spent the day at an amusement park. In the first hour, they rode two rides. After 2 hours, they had ridde

n 4 rides. They had ridden 6 rides after 3 hours.
Write a function to represent the arithmetic sequence.
f(n)=
Mathematics
1 answer:
solmaris [256]3 years ago
4 0

Answer:

The function will be: f(n) = 2n

Step-by-step explanation:

An arithmetic sequence is a sequence where the common difference between consecutive terms is same

The sequence according to given information is:

2,4,6...

Here

a_1 = 2

a_2 = 4

a_3 = 6

the common difference will be:

d = a_2-a_1 = 4-2 = 2\\d = a_3-a_2 = 6-4 = 2

The arithmetic sequence is given by:

a_n = a_1+(n-1)d

Putting the values

a_n = 2+(n-1)(2)\\a_n = 2+2n-2\\a_n = 2n

Hence,

The function will be: f(n) = 2n

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