*=s— = (J4 ■' 



dae. Euidens porro eft vtramque hanc feriem feoriim inue- 

 ftigari poiTe^ vnde folutio noftra duabus conftabit partibus 



I. Inueftigatio feriei prioris 



§. 17. Quo commodius huius feriei coefficientes de- 

 terminemus , aequationem propofitam mutatis fignis ita re- 

 praefentemus : 



et cum fit 



et 

 ||^lrn02-i).Az"-2_(^j_2)(n-3)Bz'^-^-4-(ri-4)0i-5)Cz^~^etc. 



ordinetur fubftitutio fequenti modo: 



*|||iz:n(^-i)Az'^-(/i-2)(^i-3)Bz^'-2_^0i-4)(^-5)Cx"-4etc. 

 — ^,^ — (n) (/2-i)Az'^-2.^(,^_.)(^_3JB2n-4etc. 



H-^//= nAz""— (^-a)Bz^-2^- (^i-4)C!&^-^etc. 



^nns- ~nn Az"-~h nnBz^—^— nnCz^—^^etc. 



[-(^-2)2Bz^-2h-(^-4)2C:5^-4_(^_6)2D2;^-6. 



nnB — nnC h- ^^D > etc. 



- n (n- 1 ) A-H (^i— 2) (/1—3 ) B — (n—^) (n—s ) Q X 



5. 18. Nunc igitur quemhbet coefficientem per fuum 

 antecedentem fatis concinne determinare licebit; erit enim 



T» n(n — i) A n A . 



2-2(n — I) 4^^ 



C t?! — 2){n — 3 )B -— (7t —^^{n—-VB (n — 3)B . 



nn — 171 — 4)2 4. 2ira — 2) 8 ^ 



Dzz: 



