9514 1404 393
Answer:
an = 17 +5(n -1)
Explanation:
The first term can be found by working backward from the third term:
third term = 27
second term = 22 . . . . subtract 5 from 3rd term
first term = 17 . . . . . . . . subtract 5 from 2nd term
The generic term is given by the formula ...
an = a1 + d(n -1) . . . . . a1 = first term; d = common difference
Here, we have a first term of 17 and a common difference of 5. So, the sequence terms are described by ...
an = 17 +5(n -1)