Let x_1, x_2, …, x_100 be in an arithmetic progression, with x_1=2 and their mean equal to 200. If y_i=i(x_i-i), 1 ≤ i ≤ 100, then the mean of y_1,…

Let $\displaystyle x_1, x_2, \ldots, x_{100}$ be in an arithmetic progression, with $\displaystyle x_1=2$ and their mean equal to $\displaystyle 200$ . If $\displaystyle y_i=i\left(x_i-i\right), 1 \leq i \leq 100$, then the mean of $\displaystyle y_1, y_2, \ldots, y_{100}$ is