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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 ?

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 add class=

Respuesta :

davidsprouse0
well if d = day and n=number of folowers 
n= d+2

Answer:

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

Step-by-step 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 [tex]a_n = a_1 + (n -1)d[/tex]

This is the n-term of the arithmetic sequence.

Here [tex]a_ 1 = 1 and d = 2[/tex] 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

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