How many terms of the arithmetic sequence 88, 85, 82, . . . appear before the number -17 appears?
The sequence is given by
an = a1 -3(n - 1) where a1 is the first term and an is the nth term.....so we have......
-17 = 88 - 3(n - 1) simplify
-17 = 88 - 3n + 3
-17 = 91 - 3n subtract 91 from both sides
-108 = -3n divide both sides by -3
36 = n ....so... 35 terms appear before -17
The sequence is given by
an = a1 -3(n - 1) where a1 is the first term and an is the nth term.....so we have......
-17 = 88 - 3(n - 1) simplify
-17 = 88 - 3n + 3
-17 = 91 - 3n subtract 91 from both sides
-108 = -3n divide both sides by -3
36 = n ....so... 35 terms appear before -17