Answer:
The 3rd, 4th and 5th terms of this sequence are {2/15, -2/5, -14/15}
Explanation:
The difference between 6/5 and 2/3 is 18/15 - 10/15, or 8/15. Subtracting 8/15 from 6/5 results in 2/3 (this is a check for correctness). Thus, the common difference is 8/15. The formula for the nth term of this sequence is thus a(n) = 6/5-(8/15)*(n-1).
The 3rd term is thus 6/5-(8/15)*(2) = 2/15;
The 4th is 6/5-(8/15)*(3) = -2/5, and
The 5th is 6/5-(8/15)*(4) = -14/15