Write the next three terms in the arithmetic sequence 6/5 2/3

The 3rd, 4th and 5th terms of this sequence are {2/15, - 2/5, - 14/15}

Step-by-step 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