If the sixth term of an arithmetic sequence is 5 and the sum of the third term and the eighth term is 5, then the sum of the first nine terms of the arithmetic sequence is 5______ .

If the sixth term of an arithmetic sequence is 5 and the sum of the third term and the eighth term is 5, then the sum of the first nine terms of the arithmetic sequence is 5______ .

Let the arithmetic sequence be {an}, ∵ A6 = 5, A3 + A8 = 5. From the properties of the arithmetic sequence, we can see that the sum of the first nine terms of the arithmetic sequence is S9 = 9A5 = 0, so the answer is: 0