Baqir inside Maths

If $S_1 + S_2 + \cdots +S_\text{Baqir}$ represents the sum of $n^\text{th}$ terms of arithmetic progressions whose first terms are $1, 2, 3, 4, \ldots$ and common difference are $1,3,5,7,\ldots$ , respectively.

Find $S_1 + S_2 + \cdots +S_\text{Baqir}$ .