process of addition; and so the series may be continued. These observations will perhaps be rendered more clearly intelligible when illustrated by a numerical example. The following is the commencement of a series of the fourth powers of the natural numbers:—
| No. | Table. |
|---|---|
| 1 | 1 |
| 2 | 16 |
| 3 | 81 |
| 4 | 256 |
| 5 | 625 |
| 6 | 1296 |
| 7 | 2401 |
| 8 | 4096 |
| 9 | 6561 |
| 10 | 10,000 |
| 11 | 14,641 |
| 12 | 20,736 |
| 13 | 28,561 |
By subtracting each number from the succeeding one in this series, we obtain the following series of