Question

The table shows the annual visitors to a museum in millions. Write an equation for the projected number of
visitors after n years.

Answer 1

Answer:

$x_n=(4)1.5^{(n-1)}$

Step-by-step explanation:

Geometric sequence equation:  $x_n=ar^{(n-1)}$

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, $x_n=(4)1.5^{(n-1)}$