Describe a real world scenario that is an arithmetic series. Show your work as you find the 7th term of your scenario.

A new night club opens. The first night 100 patrons attend. For each successive night for a month, 20 more attend. How many attend on the 7th night?

Arithmetic sequence formula finding the nth number:

a n = a 1 + (n - 1) d

A (7) = 100 + (7-1) 20

A (7) = 100 + (6) 20

A (7) = 100 + 120

A (7) = 220

So, on the 7th night, there 220 patrons.