Q:

Checking presentation of work

I am evaluating the following summation, $$\sum_{r=0}^9 (r^3 - 1)$$
and I have gotten $$\sum_{r=1}^9 r^3 - \sum_{r=1}^91 = \frac{1}{4} \cdot 9^2 \cdot (9+1)^2 - 9 = 2016$$ 
Is this the correct way to express my solution? Please correct me if there are any mistakes.

A:

It should be, $$\sum_{r=1}^9 r^3 - \sum_{r=1}^{10}1 = \frac{1}{4}\cdot9^2\cdot(9+1)^2 - 10 = 2015$$
Since $$\sum_{r=0}^91 = \sum_{r=1}^{10} 1 $$ not $$\sum_{r=0}^91 = \sum_{r=1}^91$$

