Question

Shiloh and her friends spent the day at an amusement park. In the first hour, they rode two rides. After 2 hours, they had ridden 4 rides. They had ridden 6 rides after 3 hours.

Write a function to represent the arithmetic sequence.
f(n)=

Answer 1

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