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:

an = a1 + (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.

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.