Which term of the A.P. `10, 9(1)/(3), 8(2)/(3),....-(2)/(3), ..... ` is the first negative term ?

Explanation

To find the first negative term of the given arithmetic progression (A.P.) \(10, 9\frac{1}{3}, 8\frac{2}{3}, \ldots, -\frac{2}{3}, \ldots\), we will follow these steps:

### Step 1: Identify the first term and the common difference
The first term \(a\) of the A.P. can be expressed as:
\[ a = 10 = \frac{30}{3} \]
The second term can be expressed as:
...