Anew movie is released each year for 8 years to go along with a popular book series. which movie is 5 minutes longer than the last to go along with a plot twist. the first movie is 75 minutes long. use the arithmetic series formula to determine the total length of all eight movies.

Step-by-step explanation:

1. Find the eighth term

You have an arithmetic sequence. It starts at 75 and each successive term is 5 more than the one preceding it

The general formula for the nth term (aₙ) is

aₙ = a₁ + (n - 1)d

where a₁ is the first term and d is the common difference (5) between consecutive terms.  Thus,

a₈ = 75 + (8 - 1) × 5 = 75 + 7 × 5 = 75 + 35 = 110

2. Find the sum

The formula for sum of the first n terms of an arithmetic sequence is

So

step-by-step explanation: