79 



yfX^ — "^— (" — 2) ^n — 3_^ {n — 3)(n — 4) yn- 



I y r-y. — n — t _^ ( n. + oi „ — n — 3 _j_ ( n4-31(n+4) ^ — 1 



•^ *- I I. 2 



haecque exprefllio veritati erit confentaneaj quicunque valo- 

 res litterae n tribuantur, iiue pofitiui fiue negatiui, fiue in- 

 tegri fiue fra£li; vnde patet formLilam initio datam hoc de- 

 fedu laborare , quod ibi feries pofterior eft omiffa. Primo 

 autem ftatim patet, fi ^ — o, vtique prodire 2 fin. nij) =— o, 

 propterea quod finguli termini binarum ferierum fe mutuo 

 tollunt; deinde etiam clarum eft , pro numeris negatiuis n 

 finus etiam negatiuos prodire, 



5. 47. Euoluamus nunc etiam aliquot cafus pro nU- 

 meris integris, ac primo quidem fit n — i, eritque 



. ^ ^ r(i"+--^-H4--t-4-^-4-^etc.) 

 s. fin Cb zzz < ^^ 



/-y (_i.^ 4. -+- --4-4-+-etc.)< 



iicque binis feriebus iun6lis fiet 2 fin. $ z= j. Sit nunc 

 n ~ 2, eritque 



J_ -H -1- -f- il -4- il -4- etc); 



a:3 a;5 x7 x9 '{^ 



(J-+-1 H-il -4- il-f-etc.)<; 



^X3 Xi X7 JC9 '^ 



Sit nunc etiam n nz 3, eritque 



sfin. 'iCl)zz: < *^ ^ :«4 jc^ *» xio /( 



/-r (_L-HX-+.2i^jl_f.etc.)^ 



ideoque 2 .fin. 3 (p —y {xx — i). Ponatur etiam m zz: 4 3 

 eritque 



^ r(x^ — 2x-f-o-»-OH-4--H4--+-4--+- etc.) ) 

 2fin.4d)z=:} -^^ xs x7 x9 /( 



)-r (4-^4-4- 2« .^.etc.)C 



ideoque 2 fin. 4 ([) — j (x' — 2 x). 



J. 48. 



*'ii 



