Series having one Term fewer than that before it:) Then (for the same Reasons, as at ¶ 22) the Aggregates of the several Columns (or erect Series) will be 1- a / n , 1- ma / n , 1- mma / n , and so forth, till (the Multiple of a becoming = 1) the Progression expire.
- Now all the Abatements here, a, ma, mma, &c. are the same with the Terms of the first Column taken backward. For a is the last, ma the next before it; and so of the rest.
And the Aggregate of all the Numerators is so many times 1, as is the Number of Terms (suppose t ,) wanting the first Column; that is t - 1- a / n , or nt - 1 + a / n ; and this again divided by the common Denominator n , becomes nt - 1 + a / nn . And therefore nt - 1 + a / nn g , is the