The table shows the annual visitors to a museum in millions. Write an equation for the projected number of
visitors after n years.
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Answer:
[tex]x_n=(4)1.5^{(n-1)}[/tex]
Step-by-step explanation:
Geometric sequence equation: [tex]x_n=ar^{(n-1)}[/tex]
where a is the first term and r is the common ratio
From the table, the first term is 4 (number of visitors in year 1), so a = 4
To find the common ratio, divide a term by its previous term:
9/6 = 1.5
Therefore, [tex]x_n=(4)1.5^{(n-1)}[/tex]