Answer:
24
Explanation:
17, 14 and a 1/2, 12 ......... -38
What do all of these have in common?
17 - 5/2 = 14 and a half, 14 and a half - 5/2 = 12, etc.
Each time, we subtract 5/2 (2 and a half) from the number until -38.
17 - x(5/2) = -38
x represents the numbers between 17 and -38. So we have the total terms 17, -38, and everything in between. 2 + x
(x represents all the in between terms)
x(5/2) = 55
x = 55(2/5) = 11 * 2 = 22
22 terms + 2 terms ( 17 and -38) = 24 terms total! :)