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 ?
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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