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

38.5

step-by-step explanation:

lets say, first number = r

second number = 3r+7

total = 49

(r)+(3r+7)= 49

4r+7 = 49

4r = 42

r = 42/4

r= 10.5

3r+7 = 3(10.5)+7 = 38.5

hope this

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew