The explicit formula for this arithmetic sequence can be written as:
an = 15 + 3(n-1)
where:
an = number of seats in row n
n = row number
So, for example, to find the number of seats in row 10:
a10 = 15 + 3(10-1)
a10 = 15 + 3(9)
a10 = 15 + 27
a10 = 42
Therefore, there would be 42 seats in row 10 of the concert hall.
A concert hall has the following numbers of seats in the first 5 rows.
18 seats in row 1
21 seats in row 2
24 seats in row 3
27 seats in row 4
30 seats in row 5
As the row number increases, the number of seats continues to follow the same pattern, resulting in an arithmetic sequence. Which explicit formula gives the terms of this sequence?
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