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

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step-by-step explanation:

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step-by-step explanation: