qnemcunque dcnotet, inueftigare fummam iftius feriei: 



[.^ j . [f J + [?J . [,-i-] + [^"J . [,-i-J + ["] . [,-iiJ + etc: 



Solutio. 



Cam fit [?]=:i, ct iftae formulae; 



[^J; [Hi [^J; ["]; etc. 



exhibeant vncias pro potcftate exponentis «, ia Corollariis 

 praecedentibus vidimus, fore pro cafu n zz i 



tum vero pro cafn « zr 2 Corollarium fecundum dedit: 



II. [^]^--[,-i-]H-[4-]=[^]i 



deinde pro cafu « — 3 in Corollario 111. inuenimus: 



111. [|] + 3 [j-:-] +• 3 Irh] + [?*t1 = [f-ft] i 



atque fi in eodcm Corollario binas priores aequationes 

 addamus, prodibit pro cafn « =: 4 ifta aequatio- 



IV. [f] + ^ [,Jr,] + « [,^] + + I,-i-J + [rf.] = tfl:] . 



vnde iam fatis luculenter perfpicitur fore pro cafu «—5: 



V. [f]+s [-tJ+'° [ji-]+'^ Ir:-]+5 [rt-J+[rW=[f:-il. 



atque adeo iam in genere pronunciare licet, feriei in pro- 

 bicmate propolltae ; 



. \n . [f ] +- [H • [,7^.-] -h V] . [,^] 4- m . [^^-] + etc. 

 fummam effe ::=:[J-J-^], qua formula indicatur iftud pro- 

 du(flum: 



~". • 2 • ^ • ♦ ' " - " ,j + ,r 



Corol- 



