Sums of Sequences of Consecutive Squares which are Square

Theorem
The sums of the following sequences of successive squares are themselves square:


 * $\displaystyle \sum_{i \mathop = 7}^{29} i^2$


 * $\displaystyle \sum_{i \mathop = 7}^{39} i^2$


 * $\displaystyle \sum_{i \mathop = 7}^{56} i^2$


 * $\displaystyle \sum_{i \mathop = 7}^{190} i^2$

Proof
From Sum of Sequence of Squares:

Thus: