Question

Jennifer has started a blog and is using the bar chart below to keep track of how many followers she has, how many followers will she has on day n, pattern is adding 2 followers every day, what would be the rule ?

Answer 1

well if d = day and n=number of folowers
n= d+2

Answer 2

2n - 1, where "n" is the number of days.

Explanation:

By looking at the bar graph.

We list the following information.

Day The number of followers

1 1

2 3

3 5

4 7

So, the number of followers increase by 2 each day passes.

This is an arithmetic sequence.

The sequence is 1, 3, 5, 7.....

So the rule
`a_n = a_1 + (n -1)d`

This is the n-term of the arithmetic sequence.

Here
`a_ 1 = 1 and d = 2` and n is the number of days.

Plug in these values in the above sequence, we get

The general rule = 1 + (n -1)2

= 1 + 2n-2

= 2n - 1

So the general rule = 2n - 1