Answer:
B
Step-by-step explanation:
If you use the general equation for an arithmetic sequence,
,
where aₙ is the number of minutes for movie n,
a₁ is the length of the first movie in minutes, and
d is the difference between each movie, in minutes
Our sequence is this:
If we want the length of the second movie (we already know the length of the first), we fill in n with 2:
which gives us a length of 72. Now for the length of movie n = 3:
which gives us a length of 74. Now for the length of movie n = 4:
which gives us a length of 76. One more and I'm sure you'll notice the pattern:
which gives us a length of 78. Now we will find the length of the 14th movie and add up by 2's all the way up to that number of minutes:
which gives up a length of 96 minutes. We will add up by 2's from 70 to 96: